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References

Published online by Cambridge University Press:  05 May 2015

Amit Dutta ,
Gabriel Aeppli ,
Bikas K. Chakrabarti ,
Uma Divakaran ,
Thomas F. Rosenbaum  and
Diptiman Sen
Amit Dutta
Affiliation:
Indian Institute of Technology, Kanpur
Gabriel Aeppli
Affiliation:
University College London
Bikas K. Chakrabarti
Affiliation:
Saha Institute of Nuclear Physics, India
Uma Divakaran
Affiliation:
Indian Institute of Technology, Kanpur
Thomas F. Rosenbaum
Affiliation:
University of Chicago
Diptiman Sen
Affiliation:
Indian Institute of Science, Bangalore
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Information
Quantum Phase Transitions in Transverse Field Spin Models
From Statistical Physics to Quantum Information
 , pp. 295 - 328
Publisher: Cambridge University Press
Print publication year: 2015

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References

[1] Abasto, D., Hamma, A., and Zanardi, P. 2008. Phys. Rev. A., 78, 010301.
[2] Abraham, D. B., Barouch, E., Gallavotti, G., and Martin-Löf, A. 1971. Studies in Applied Math., 50, 121.
[3] Abramowitz, M., and Stegun, I. A. 1979. Handbook of mathematical functions with formulas, graphs, and mathematical tables. New York: Dover.
[4] Acharyya, M., Chakrabarti, B. K., and Stinchcombe, R. B. 1994. J. Phys. A, 27, 1533.
[5] Aeppli, G., and Rosenbaum, T. F. 2005. Experiments in Quantum Annealing. In: Das, A., and Chakrabarti, B. K. (eds), Quantum Annealing and Related Optimization Methods: Lecture Notes in Physics Vol. 679. Heidelberg: Springer.
[6] Affleck, I. 1986. Phys. Rev. Lett., 56, 746.
[7] Affleck, I. 1989. Field Theory Methods and Quantum Critical Phenomena. In: Brezin, E., and Zinn-Justin, J. (eds), Fields, Strings and Critical Phenomena. Amsterdam: North-Holland.
[8] Affleck, I. 2010. Nature, 464, 362.
[9] Affleck, I., Kennedy, T., Lieb, E. H., and Tasaki, H. 1988. Comm. Math. Phys, 115, 477.
[10] Aharony, A. 1986. Percolation. In: Grinstein, G., and Mazenko, G. (eds), Directions in Condensed Matter Physics. Singapore: World Scientific.
[11] Aharony, A., Imry, Y., and Ma, S. K. 1976. Phys. Rev. Lett., 37, 1364.
[12] Aharony, A., Gefen, Y., and Shapir, Y. 1982. J. Phys. C, 15, 673.
[13] Alba, V., Tagliacozzo, L., and Calabrese, P. 2010. Phys. Rev. B, 81, 060411.
[14] Albuquerque, A. F., Alet, F., Sire, C., and Capponi, S. 2010. Phys. Rev. B, 81, 064418.
[15] Alcaraz, F. C. 2009. J. Phys. A: Math. Gen., 20, L623.
[16] Alcaraz, F. C., Saguia, A., and Sarandy, M. S. 2004. Phys. Rev. A, 70, 032333.
[17] Alicea, J. 2012. Rep. Prog. Phys, 75, 076501.
[18] Allen, D., Azaria, P., and Lecheminant, P. 2001. J. Phys. A, 34, L305.
[19] Altland, A., and Gurarie, V. 2008. Phys. Rev. Lett., 100, 063302.
[20] Altland, A., and Zirnbauer, M. R. 1997. Phys. Rev. B, 55, 1142.
[21] Altland, A., Gurarie, V., Kriecherbauer, T., and Polkovnikov, A. 2009. Phys. Rev. A, 79, 042703.
[22] Altshuler, B., Krovi, H., and Roland, J. 2010. Proc. Nat. Acad. Sc., 107, 12446.
[23] Alvermann, A., and Fehske, H. 2009. Phys. Rev. Lett., 102, 150601.
[24] Amico, L., Osterloh, A., Plastina, F., Palma, G., and Fazio, R. 2004. Phys. Rev. A, 69, 022304.
[25] Amico, L., Fazio, R., Osterloh, A., and Vedral, V. 2008. Rev. Mod. Phys., 80, 517.
[26] Amin, M., and Choi, V. 2009. Phys. Rev. A, 80, 062326.
[27] Amit, Daniel J. 1984. Field theory, renormalization group and critical phenomena. Singapore: World Scientific.
[28] Ammann, H., Gray, R., Shvarchuck, I., and Christensen, N. 1998. Phys. Rev. Lett., 80, 411.
[29] Ancona-Torres, C., Silevitch, D. M., Rosenbaum, T. F., and Aeppli, G. 2008. Phys. Rev. Lett, 101, 057201.
[30] Anderson, P. W. 1952. Phys. Rev., 86, 694.
[31] Anderson, P. W. 1958. Phys. Rev., 112, 1900.
[32] Anderson, P. W. 1967. Phys. Rev. Lett., 18, 1049.
[33] Andraschko, F., and Sirker, J. 2014. Phys. Rev. B, 89, 125120.
[34] Arita, R., Kuroki, K., Aoki, H., and Fabrizio, M. 1998. Phys. Rev. B, 57, 10324.
[35] Ashhab, S., Johansson, J. R., Zagoskin, A. M., and Nori, F. 2007. Phys. Rev. A, 75, 063414.
[36] Auccaise, R., Maziero, J., Celeri, L. C., Soares-Pinto, D. O., deAzevedo, E. R., Bonagamba, T. J., Sarthour, R. S., Oliveira, I. S., and Serra, R. M. 2011. Phys. Rev. Lett., 107, 070501.
[37] Audenaert, K., Eisert, K. J., Plenio, M. B., and Werner, R. F. 2002. Phys. Rev. A, 66, 042327.
[38] Bacsi, Adam, and Dora, B. 2013. Phys. Rev. B, 88, 155115.
[39] Banerjee, S., Singh, R. R. P, Pardo, V., and Picket, W. E. 2009. Phys. Rev. Lett., 103, 016402.
[40] Banerjee, V., Dattagupta, S., and Sen, P. 1995. Phys. Rev. E, 52, 1436.
[41] Barankov, R., and Polkovnikov, A. 2008. Phys. Rev. Lett., 101, 076801.
[42] Barber, M. N. 1983. Finite-Size Scaling. In: Domb, C., and Lebowitch, J. L. (eds), Phase Transitions and Critical Phenomena Vol. 8. New York: Academic Press.
[43] Barber, M. N., and Duxbury, P. M. 1981. J. Phys. A, 14, L251.
[44] Barber, M. N., and Duxbury, P. M. 1982a. J. Stat. Phys., 29, 427.
[45] Barber, M. N., and Duxbury, P. M. 1982b. J. Phys. A, 15, 3219.
[46] Barouch, E., and McCoy, B. M. 1971a. Phys. Rev. A, 3, 786.
[47] Barouch, E., and McCoy, B. M. 1971b. Phys. Rev. A, 3, 2137.
[48] Barouch, E., McCoy, B. M., and Dresden, M. 1970. Phys. Rev. A, 2, 1075.
[49] Barthel, T., Dusuel, S., and Vidal, J. 2006. Phys. Rev. Lett., 97, 220402.
[50] Baskaran, G., Sen, Diptiman, and Shankar, R. 2008. Phys. Rev. B, 78, 115116.
[51] Basko, D. M., Aleiner, I. L., and Alshuler, B. L. 2006. Ann. Phys., 321, 1126.
[52] Bason, M. G. 2012. Nat. Phys., 8, 147.
[53] Basu, B. 2010. Phys. Lett. A, 374, 1205.
[54] Battaglia, D., Kolar, M., and Zecchina, R. 2004. Phys. Rev. E, 70, 036107.
[55] Battaglia, D., Santoro, G. E., and Tosatti, E. 2005. Phys. Rev. E, 71, 066707.
[56] Baxter, R. J. 1982. Exactly Solved Models in Statistical Mechanics. New York: Academic Press.
[57] Beauvillain, P., Renard, J. P., and P. E., Hansen, J., Phys. C 10, L709 (1977). 1977. J. Phys. C, 10, L709.
[58] Beccaria, M., Campostrini, M., and Feo, A. 2006. Phys. Rev. B, 73, 052402.
[59] Beccaria, M., Campostrini, M., and Feo, A. 2007. Phys. Rev. B, 76, 094410.
[60] Belanger, D. P. 1998. Experiments on the Random Field Ising Model. In: Young, A. P. (ed), Spin Glasses and Random Fields. Singapore: World Scientific.
[61] Belanger, D. P., and Young, A. P. 1991. J. Magn. Magn, Mater., 100, 272.
[62] Belitz, D., and Kirkpatrick, T. R. 2000, p. 399. Quantum Phase Transitions. In: Dynamics: Models and Kinetic Methods for Non-Equilibrium Many Body Systems. Dordrecht: Kluwer.
[63] Belitz, D., and Kirkpatrick, T. R. 2002. J. Low Temp. Phys., 126, 1107.
[64] Belitz, D., Kirkpatrick, T. R., and Vojta, T. 1999. Phys. Rev. Lett., 82, 4707.
[65] Belitz, D., Kirkpatrick, T. R., Narayanan, R., and Vojta, T. 2000. Phys. Rev. Lett., 85, 4602.
[66] Belitz, D., Kirkpatrick, T. R., and Vojta, T. 2005. Rev. Mod. Phys., 77, 579.
[67] Bellec, M., Kuhl, U., Montambaux, G., and Mortessagne, F. 2013. Nature, 110, 033902.
[68] Bennett, C. H., DiVincenzo, D. P., Smolin, J. A., and Wootters, W. K. 1996. Phys. Rev. A, 54, 3824.
[69] Berezinskii, V. 1970. Zh. Eksp. Teor. Fiz, 59, 907.
[70] Berlin, T. H., and Kac, M. 1952. Phys. Rev., 86, 821.
[71] Bermudez, A., Patane, D., Amico, L., and Martin-Delgado, M. A. 2009. Phys. Rev. Lett., 102, 135702.
[72] Bermudez, A., Amico, L., and Martin-Delgado, M. A. 2010. New J. Phys., 12, 055014.
[73] Bernevig, B., Hughes, T., and Zhang, S. 2006. Science, 314, 1757.
[74] Berry, M. 1984. Proc. R. Soc. Lond. A, 392, 45.
[75] Berry, M. V. 2009. J. Phys. A: Math. Theor, 42, 365303.
[76] Bettelheim, E., Abanov, A. G., and Weigmann, P. 2006. Phys. Rev. Lett., 97, 246402.
[77] Bhatt, R. N. 1998. Quantum Spin Glasses. In: Young, A. P. (ed), Spin Glasses and Random Fields. Singapore: World Scientific.
[78] Bhatt, R. N., and Lee, P. A. 1982. Phys. Rev. Lett., 4, 344.
[79] Bhattacharjee, J., Chakravarty, S., Richardson, J. L., and Scalapino, D. J. 1981. Phys. Rev. B, 24, 3862.
[80] Bhattacharyya, K. 1983. J. Phys. A: Math. Gen, 16, 2993.
[81] Bian, Z., Chudak, F., Macready, W. G., Clark, L., and Gaitan, F. 2013. Phys. Rev. Lett., 111, 130505.
[82] Binder, K., and Young, A. P. 1986. Rev. Mod. Physics, 58, 801.
[83] Bitko, T., Rosenbaum, T. F., and Aeppli, G. 1996. Phys. Rev. Lett., 77, 940.
[84] Bland, R. G., and Shallcross, D. F. 1988. Oper. Res. Lett, 8, 125.
[85] Blinc, R. 1962. J. Phys. Chem. Solids, 13, 204.
[86] Blinc, R., and Zeks, B. 1972. Adv. Phys., 91, 693.
[87] Bloch, I., Dalibard, J., and Zwerger, W. 2008. Rev. Mod. Phys, 80, 885.
[88] Blöte, H. W. J., Cardy, J. L., and Nightingale, M. P. 1986. Phys. Rev. Lett., 56, 742.
[89] Bohr, H., and Brunak, S. 1990. Complex Systems, 3, 9.
[90] Boixo, S., Albash, T, Spedalieri, F. M., Chancellor, N., and Lidar, D. A. 2013. Nature Communications, 4, 2067.
[91] Boixo, S., Ronnow, T. F., Isakov, S. V., Wang, Z., Wecker, D., Lidar, D. A., Martinis,, J. M., and Troyer, M. 2014. Nature Physics, 10, 218.
[92] Bose, I., and Chattopadhyay, E. 2002. Phys. Rev. A, 66, 062320.
[93] Bose, I., and Tribedi, A. 2010. Signature of Quantum Phase Transitions via Quantum Information Theoretic Measures. In: Das, A., Chandra, A. K., and Chakrabarti, B. K. (eds), Quantum Quenching, Annealing and Computation: Lecture Notes in Physics Vol. 802. Heidelberg: Springer.
[94] Bose, S. 2003. Phys. Rev. Lett., 91, 207901.
[95] Botet, R., and Jullien, R. 1983. Phys. Rev. B, 28, 3955.
[96] Botet, R., Jullien, R., and Pfeuty, P. 1982. Phys. Rev. Lett., 49, 478.
[97] Boucher, J. P., and Regnault, L. P. 1996. J. de Phys. I, 6, 1939.
[98] Bounsante, P., and Vezzani, A. 2007. Phys. Rev. Lett., 98, 101601.
[99] Bowick, M. J., Chandar, L., Schiff, E. A., and Srivastava, A. M. 1994. Science, 263, 943.
[100] Boyanovski, D., and Cardy, J. 1983. Phys. Rev. B, 27, 5557.
[101] Braun, S., Friesdorf, M., Hodgman, S. S., Schreiber, M., Ronzheimer, J. P., A., Riera, and M., del Rey, Bloch, I., Eisert, J., and Schneider, U. 2014. arxiv:1403. 7199.
[102] Bravyi, S., Hastings, M. B., and Verstraete, F. 2006. Phys. Rev. Lett., 97, 050401.
[103] Bray, A. J. 1987. Phys. Rev. Lett., 59, 586.
[104] Bray, A. J. 1994. Adv. in. Phys., 43, 357.
[105] Bray, A. J. 2002. Advances in Physics, 51, 1460.
[106] Bray, A. J., and Moore, M. 1980. J. Phys. C, 13, L655.
[107] Bray, A. J., and Moore, M. 1985. J. Phys. C, 18, L297.
[108] Bray, A. J., and Moore, M. A. 1982. J. Phys. C, 15, L765.
[109] Bray, A. J., and Moore, M. A. 1984. J. Phys. C, 17, L463.
[110] Bray, A. J., Moore, M. A., and Young, A. P. 1986. Phys. Rev. Lett., 56, 2641.
[111] Bricmont, J., and Kupiainen, A. 1987. Phys. Rev. Lett., 59, 1829.
[112] Brooke, J., Bitko, D., Rosenbaum, T. F., and Aeppli, G. 1999. Science, 284, 779.
[113] Brooke, J., Rosenbaum, T. F., and Aeppli, G. 2001. Nature, 413, 610.
[114] Brout, R., Muller, K. A., and Thomas, H. 1966. Solid State Comm., 4, 507.
[115] Brouwer, P. W., Furusaki, A., Gruzberg, I. A., and Mudry, C. 2000. Phys. Rev. Lett., 85, 1064.
[116] Brouwer, P. W., Furusaki, A., and Mudry, C. 2003. Phys. Rev. B, 67, 014530.
[117] Budich, J. C., Walter, S., and Tranzettel, B. 2012. Phys. Rev. B, 85, 121405(R).
[118] Bulla, R., Tong, N. H., and Vojta, M. 2003. Phys. Rev. Lett., 91, 170601.
[119] Bunder, J. E., and McKenzie, Ross H. 1999. Phys. Rev. B, 60, 344.
[120] Bursill, R. J., Gehring, G. A., Farnell, D. J., Parkinson, J. B., Xiang, T., and Zeng, C. 1995. J. Phys. C, 7, 8605.
[121] Buttner, G., and Usadel, K. D. 1990. Phys. Rev. B, 41, 428.
[122] Cabra, D. C., Honecker, A., and Pujol, P. 1998. Phys. Rev. B, 58, 6241.
[123] Calabrese, P., and Cardy, J. 2004. J. Stat. Mech., P06002.
[124] Calabrese, P., and Cardy, J. 2005. J. Stat. Mech., P04010.
[125] Calabrese, P., and Cardy, J. 2006. Phys. Rev. Lett., 96, 136801.
[126] Calabrese, P., and Cardy, J. 2007. J. Stat. Mech., P10004.
[127] Calabrese, P., and Cardy, J. 2009. J. Phys. A: Math. Theor., 42, 504005. Special Issue “Entanglement Entropy in Extended Quantm Systems” edited by P., Calabrese
J., Cardy and B., Doyon.
[128] Calabrese, P., and Lefevre, A. 2008. Phys. Rev. A, 78, 032329.
[129] Calabrese, P., Campostrini, M., Essler, F., and Nienhuis, B. 2010. Phys. Rev. Lett., 104, 095701.
[130] Campostrini, M., and Vicari, E. 2009. Phys. Rev. Lett., 102, 240601.
[131] Caneva, T., Fazio, R., and Santoro, G. E. 2007. Phys. Rev. B, 76, 144427.
[132] Caneva, T., Fazio, R., and Santoro, G. E. 2008. Phys. Rev. B, 78, 104426.
[133] Caneva, T., Murphy, M., Calarco, T., Fazio, R., Montangero, S., Giovannetti, V., and Santoro, G. E. 2009. Phys. Rev. Lett., 103, 240501.
[134] Canovi, E., Rossini, D., Fazio, R., Santoro, G. E., and Silva, A. 2011. Phys. Rev. B, 83, 094431.
[135] Capel, H. W., and Perk, J. H. H. 1977. Physica A, 87, 211.
[136] Cardy, J. 1996. Scaling and Renormalization in Statistical Physics. Cambridge: Cambridge University Press.
[137] Cardy, J. L. 1984. Phys. Rev. B, 29, 505.
[138] Carlon, E., Lajk, P., and Igloi, F. 2001. Phys. Rev. Lett., 88, 277201.
[139] Carollo, A. C. M., and Pachos, J. K. 2005. Phys. Rev. Lett., 95, 157203.
[140] Carpentier, D., Fedorenko, A. A., and Orignac, E. 2013. EPL, 102, 67010.
[141] Carr, L. D. (ed). 2010. Understanding Quantum Phase Transitions. Boca Raton, Florida: Taylor and Francis.
[142] Castelloni, T., and Cavagna, A. 2005. J. Stat. Mech., 81, P05012.
[143] Castelnovo, C., Trebst, S., and Troyer, M. 2010. Topological order and quantum criticality. In: Carr, L. D. (ed), Understanding Quantum Phase Transitions. Boca Raton, Florida: Taylor and Francis.
[144] C., Aulbach, A., Wobst, and G.-L., Ingold, and P., Hanggi, and I., Varga. 2004. New J. Phys., 6, 70.
[145] Caux, J. -S., Essler, F. H. L., and Low, U. 2003. Phys. Rev. B, 68, 134431.
[146] Cayssol, J., Dora, B., Simon, F., and Moessner, R. 2013. Phys. Status Solidi RRL, 7, 101.
[147] Cazalilla, M. A., Citro, R., Giamarchi, T., Orignac, E., and Rigol, M. 2011. Rev. Mod. Phys., 83, 1405.
[148] Cestari, J. C. C., Foerster, A., and Gusmao, M. A. 2010. Phys. Rev. A, 82, 063634.
[149] Chaikin, P., and Lubensky, T. C. 1995. Principles of Condensed Matter Physics. Cambridge: Cambridge University Press.
[150] Chakrabarti, B. K. 1981. Phys. Rev. B, 24, 4062.
[151] Chakrabarti, B. K., and Das, Arnab. 2003. arXiv: cond-mat/0312611.
[152] Chakrabarti, B. K., and Inoue, J. -I. 2006. Ind. J. Phys., 80, 609.
[153] Chakrabarti, B. K., and Samanta, D. 2010. Phys. Rev. B, 81, 052301.
[154] Chakrabarti, B. K., Dutta, A., and Sen, P. 1996. Quantum Ising Phases and Transitions in Transverse Ising models. Berlin: Springer-Verlag.
[155] Chakrabarti, B. K., Das, A., and Inoue, J. -I. 2006. Euro. Phys. J. B, 51, 321.
[156] Chakraborty, P. B., Henelius, P., Kjonsberg, H., Sandvik, A. W., and Girvin, S. M. 2004. Phys. Rev. B, 70, 144411.
[157] Chakravarty, S., Halperin, B. I., and Nelson, D. R. 1989. Phys. Rev. B, 39, 2344.
[158] Chan, D., and Mercier, D. 1989. Int. J. Prod. Res, 3, 9.
[159] Chandra, A., Inoue, J. I., and Chakrabarti, B. K. 2010. Phys. Rev. E, 81, 021101.
[160] Chandra, A. K., and Dasgupta, S. 2007a. J. Phys. A, 40, 6251.
[161] Chandra, A. K., and Dasgupta, S. 2007b. Phys. Rev. E, 75, 021105.
[162] Chandra, A. K., Inoue, J. I., and Chakrabarti, B. K. 2009. J. Phys: Conf. ser., 143, 012013.
[163] Chayes, J. T., Chayes, L., Fisher, D. S., and Spencer, T. 1986. Phys. Rev. Lett., 57, 2999.
[164] Chen, H. D., and Nussinov, Z. 2008. J. Phys. A, 41, 075001.
[165] Chen, S., Wang, L., Gu, S. -J., and Wang, Y. 2007. Phys. Rev. E., 76, 061108.
[166] Chen, X., and Tompa, M. 2010. Nature Biotechnology, 28, 567.
[167] Cheneau, M., Barmettler, P., Poletti, D., Endres, M., Schauss, P., Fukuhara, T., Gross, C., Bloch, I., Kollath, C., and Kuhr, S. 2012. Nature, 481, 484.
[168] Cherng, R. W., and Levitov, L. S. 2006. Phys. Rev. A, 73, 043614.
[169] Chiara, C. De, Montangero, S., Calabrese, P., and Fazio, R. 2006. J. Stat. Mech., P03001.
[170] Chirikov, B. V., Izrailev, F. M., and Shepelyansky, D. L. 1981. Sov. Sci. Rev., C 2, 209.
[171] Chitra, R., Pati, S., Krishnamurthy, H. R., Sen, D., and Ramasesha, S. 1995. Phys. Rev. B, 52, 6581.
[172] Chowdhury, D. 1986. Spin Glass and other frustrated systems. Singapore: World Sceintific.
[173] Chowdhury, D., Divakaran, U., and Dutta, A. 2010. Phys. Rev. E, 81, 012101.
[174] Chuang, I. L., Durrer, R., Turok, N., and Yurke, B. 1991. Science, 251, 1336.
[175] Chung, M.-C., Jhu, Y.-H., Chen, P., Mou, C.-Y., and Wan, X. 2014. arXiv: 1401. 0433.(unpublished).
[176] Cincio, L., Dziarmaga, J., Rams, M. M., and Zurek, W. 2007. Phys. Rev. A, 75, 052321.
[177] Cincio, L., Dziarmaga, J., Meisner, J., and Rams, M. M. 2009. Phys. Rev. B, 79, 094421.
[178] Cirac, J., Lewenstein, M., Molmer, K., and Zoller, P. 1998. Phys. Rev. A, 57, 1208.
[179] Cochran, W. 1969. Adv. Phys., 18, 157.
[180] Coldea, R., Tennant, D. A., Wheeler, E. M., Wawrzynska, E., Prabhakaran, D., Telling, M., Habicht, K., Smeibidl, P., and Kiefer, K. 2010. Science, 327, 177.
[181] Coleman, S. 1975. Phys. Rev. D, 11, 2088.
[182] Collura, M., and Karevski, D. 2010. Phys. Rev. Lett., 104, 200601.
[183] Collura, M., Karevski, D., and Turban, L. 2009. J. Stat. Mech: Theor Expt, 08007.
[184] Collura, M., Sotiriadis, S., and Calabrese, P. 2013. Phys. Rev. Lett., 110, 245301.
[185] Continentino, M. 2001. Quantum Scaling in many body systems. Singapore: World Scientific.
[186] Cormick, C., and Paz, J. P. 2008. Phys. Rev. A, 77, 022317.
[187] Cozzini, M., Ionicioiu, R., and Zanardi, P. 2007a. Phys. Rev. B, 76, 104420.
[188] Cozzini, M., Giorda, P., and Zanardi, P. 2007b. Phys. Rev. B, 75, 014439.
[189] Cucchietti, F. M., Dalvit, D. A. R., Paz, J. P., and Zurek, W. H. 2003. Phys. Rev. Lett., 95, 105701.
[190] Cucchietti, F. M., Fernandez-Vidal, S., and Paz, J. P. 2007. Phys. Rev. A, 75, 032337.
[191] Cui, H. T., Li, K., and Li, X. X. 2006. Phys. Lett. A, 360, 243.
[192] D'Alessio, L., and Polkovnikov, A. 2013. Ann. Phys., 333, 19.
[193] Damle, K., and Huse, D. A. 2002. Phys. Rev. Lett., 99, 205303.
[194] Damle, K., and Sachdev, S. 1996. Phys. Rev. Lett., 76, 4412.
[195] Damski, B. 2005. Phys. Rev. Lett., 95, 035701.
[196] Damski, B. 2013. Phys. Rev. E 87, 052131 (2013), 87, 052131.
[197] Damski, B., and Zurek, W. H. 2006. Phys. Rev. A, 73, 063405.
[198] Damski, B., and Zurek, W. H. 2007. Phys. Rev. Lett., 99, 130402.
[199] Damski, B., and Zurek, W. H. 2009. New. J. Physics, 11, 063014.
[200] Damski, B., Quan, H. T., and Zurek, W. H. 2011. Phys. Rev. A, 83, 062104.
[201] Dantzig, G. B., Fulkerson, R., and Johnson, S. M. 1954. Operations Research, 2(4), 393.
[202] Das, A. 2010. Phys. Rev. B, 82, 172402.
[203] Das, A., and Chakrabarti, B. K. 2008. Rev. Mod. Phys., 80, 1061.
[204] Das, A., Chakrabarti, B. K., and Stinchcombe, R. B. 2005. Phys. Rev. E, 72, 026701.
[205] Das, A., Sengupta, K., Sen, D., and Chakrabarti, B. K. 2006. Phys. Rev. B, 74, 144423.
[206] Das, A., Ronen, Y., Most, Y., Oreg, Y., Heiblum, M., and Shtrikman, H. 2012. Nature Phys., 8, 887.
[207] Dasgupta, C., and Ma, S. K. 1980. Phys. Rev. B, 22, 1305.
[208] De, A. Sen, Sen, U., and Lewenstein, M. 2005. Phys. Rev. A, 72, 052319.
[209] de Almeida, J. R. L., and Thouless, D. J. 1978. J. Phys. A, 11, 983.
[210] de Gail, R., Fuchs, J.-N., Goerbig, M. O., Pichon, F., and Montambaux, G. 2012. Physica B, 407, 1948.
[211] de Gennes, P. G. 1963. Solid State Comm., 1, 132.
[212] DeGottardi, W., Sen, D., and Vishveshwara, S. 2011. New. J. Phys., 13, 065028.
[213] DeGottardi, W., Sen, D., and Vishveshwara, S. 2013a. Phys. Rev. Lett., 110, 146404.
[214] DeGottardi, W., Thakurathi, M., Vishveshwara, S., and Sen, D. 2013b. Phys. Rev. B, 88, 165113.
[215] del Campo, A., Rams, M. M., and Zurek, W. H. 2012. Phys. Rev. Lett., 103, 115703.
[216] Delfino, G., and Mussardo, G. 1995. Nucl. Phys. B, 455, 724.
[217] Delfino, G., Mussardo, G., and Simonetti, P. 1996. Nucl. Phys. B, 473, 469.
[218] Delplace, P., G-Leon, A., and Platero, G. 2013. Phys. Rev. B, 88, 245422.
[219] Delyon, F. 1987. J. Phys. A, 20, L21.
[220] den Nijs, M. 1988. The Domain Wall Theory of Two-Dimensional Commensurate-Incommensurate Phase Transition. In: Domb, C., and Lebowitz, J. L. (eds), Phase Transitions and Critical Phenomena Vol. 12. New York: Academic Press.
[221] Deng, M. T., Yu, C. L., Huang, G. Y., Larsson, M., Caroff, P., and Xu, H. Q. 2012. Nano Lett., 12, 6414.
[222] Deng, S., Ortiz, G., and Viola, L. 2008a. Eurphys. Lett., 84, 67008.
[223] Deng, S., Ortiz, G., and Viola, L. 2008b. arXiv: 0802. 3941. (unpublished).
[224] Deng, S., Ortiz, G., and Viola, L. 2009. Phys. Rev. B, 80, 241109(R).
[225] Deng, S., Ortiz, G., and Viola, L. 2011. Phys. Rev. B, 83, 094304.
[226] Dey, A., Mahapatra, S., Roy, P., and Sarkar, T. 2012. Phys. Rev. E, 86, 0311137.
[227] Dhar, D., Randeria, M., and Sethna, J. P. 1988. Phys. Rev. Lett., 5, 485.
[228] Dicke, R. H. 1954. Phys. Rev., 93, 99.
[229] Dillenschneider, R. 2008. Phys. Rev. B, 78, 224413.
[230] Divakaran, U. 2013. Phys. Rev. E, 88, 052122.
[231] Divakaran, U., and Dutta, A. 2007. J. Stat. Mech., P11001.
[232] Divakaran, U., and Dutta, A. 2009. Phys. Rev. B, 79, 224408.
[233] Divakaran, U., Dutta, A., and Sen, D. 2008. Phys. Rev. B, 78, 144301.
[234] Divakaran, U., Mukherjee, V., Dutta, A., and Sen, D. 2009. J. Stat. Mech., P02007.
[235] Divakaran, U., Dutta, A., and Sen, D. 2010a. Phys. Rev. B, 81, 054306.
[236] Divakaran, U., Mukherjee, V., Dutta, A., and Sen, D. 2010b. Defect production due to quenching through a multicritical point and along a gapless line. In: Das, A., Chandra, A. K., and Chakrabarti, B. K. (eds), Quantum Quenching, Annealing and Computation; Lecture Notes in Physics Vol. 802. Heidelberg: Springer.
[237] Divakaran, U., Iglói, F., and Rieger, H. 2011. J. Stat. Mech, P10027.
[238] Dmitriev, D. V., Krivnov, V. Ya., Ovchinnikov, A. A., and Langari, A. 2002a. JETP, 95, 538.
[239] Dmitriev, D. V., Krivnov, V. Ya., and Ovchinnikov, A. A. 2002b. Phys. Rev. B, 65, 172409.
[240] Dodd, M. E. 1998. Phys. Rev. Lett., 81, 3703.
[241] Dominicis, C De, and Giardina, I. 2006. Random Fields and Spin Glasses. Cambridge: Cambridge University Press.
[242] Dominicis, C. De, and Kondor, I. 1983. Phys. Rev. B, 27, 606.
[243] Dora, B., and Moessner, R. 2010. Phys. Rev. B, 81, 165431.
[244] Dora, B., Castro, E. V., and Moessner, R. 2010. Phys. Rev. B, 82, 125441.
[245] Dora, B., Haque, M., and Zarand, G. 2011. Phys. Rev. Lett., 106, 156406.
[246] Dora, B., Bacsi, A., and Zarand, G. 2012. Phys. Rev. B, 86, 161109(R).
[247] Dora, B., Pollmann, F., Fortagh, J., and Zanard, G. 2013. Phys. Rev. Lett., 111, 046402.
[248] Dorner, R., Goold, J., Cormick, C., Paternostro, M., and Vedral, V. 2012. Phys. Rev. Lett, 109, 106601.
[249] Ducci, S., Ramazza, P. L., Gonzalez-Vinas, W., and Arecchi, F. T. 1999. Phys. Rev. Lett, 83, 5210.
[250] Dusuel, S., and Vidal, J. 2004. Phys. Rev. Lett., 93, 237204.
[251] Dusuel, S., and Vidal, J. 2005. Phys. Rev. B, 71, 224420.
[252] Dutta, A. 2002. Phys. Rev. B, 65, 224427.
[253] Dutta, A., and Bhattacharjee, J. K. 1998. Phys. Rev. B, 58, 6378.
[254] Dutta, A., and Bhattacharjee, J. K. 2001. Phys. Rev. B, 64, 184106.
[255] Dutta, A., and Loganayagam, R. 2007. Phys. Rev. B, 75, 052405.
[256] Dutta, A., and Sen, D. 2003. Phys. Rev. B, 67, 094435.
[257] Dutta, A., and Stinchcombe, R. B. 2000. Phys. Rev. B, 61, 354.
[258] Dutta, A., Chakrabarti, B. K., and Stinchcombe, R. B. 1996. J. Phys. A, 29, 5285.
[259] Dutta, A., Chakrabarti, B. K., and Bhattacharjee, J. K. 1997. Phys. Rev. B, 55, 5619.
[260] Dutta, A., Bhattacharjee, J. K., and Chakrabarti, B. K. 1998. Eur. Phys. J. B, 3, 97.
[261] Dutta, A., Singh, R. R. P., and Divakaran, U. 2010. Europhys. Lett., 89, 67001.
[262] Dzhaparidze, G. I., and Nersesyan, A. A. 1978. JETP Lett., 27, 334.
[263] Dziarmaga, J. 2005. Phys. Rev. Lett., 95, 245701.
[264] Dziarmaga, J. 2006. Phys. Rev. B, 74, 064416.
[265] Dziarmaga, J. 2010. Advances in Physics, 59, 1063.
[266] Dziarmaga, J., and Rams, M. M. 2010a. New J. Phys., 12, 103002.
[267] Dziarmaga, J., and Rams, M. M. 2010b. New J. Phys., 12, 055007.
[268] Eckstein, M., and Kollar, M. 2010. New. J. Phys., 12, 055012.
[269] Edwards, S. F., and Anderson, P. W. 1975. J. Phys. F, 5, 965.
[270] Eisert, J., and Osborne, T. J. 2006. Phys. Rev. Lett., 97, 150404.
[271] Eisert, J., Cramer, M., and Plenio, M. B. 2010. Rev. Mod. Phys., 82, 277.
[272] Eisler, V., and Peschel, I. 2007. J. Stat. Mech., P06005.
[273] Eisler, V., Karevski, D., Platini, T., and Peschel, I. 2008. J. Stat. Mech., P01023.
[274] Elliott, R. J. 1961. Phys. Rev., 124, 346.
[275] Elliott, R. J., Pfeuty, P., and Wood, C. 1970. Phys. Rev. Lett., 36, 856.
[276] Elliott, R. J., Gehring, G. A., Malozemoff, A. P., Smith, S. R. P., Staude, W., and Tyte, R. N. 1971. J. Phys. C, 4, L179.
[277] Emary, C., and Brandes, T. 2003. Phys. Rev. E, 67, 066203.
[278] Eriksson, E., and Johannesson, H. 2009. Phys. Rev. A, 79, 060301(R).
[279] Ezawa, M., Tanaka, Y., and Nagaosa, N. 2013. Scientific Reports, 3, 2790.
[280] Fabrizio, M. 1996. Phys. Rev. B, 54, 10054.
[281] Fagotti, M., and Calabrese, P. 2008. Phys. Rev. A, 78, 010306(R).
[282] Fagotti, M., and Calabrese, P. 2010. J. Stat. Mech., P04016.
[283] Farhi, E., Goldstone, J., Gutmann, S., Lapan, J., Lundgren, A., and Preda, D. 2001. Science, 292, 472.
[284] Fateev, A. V., and Zamolodchikov, A. B. 1985. Sov. Phys. JETP, 62, 215.
[285] Feng, X. Y., Zhang, G. M., and Xiang, T. 2007. Phys. Rev. Lett., 98, 087204.
[286] Feng, Y., Ancona-Torres, C., Rosenbaum, T. F., Price, D. L., and Courtens, E. 1996. Phys. Rev. Lett., 97, 145501.
[287] Feynmann, R. P. 1972. Statistical Mechanics. Reading, MasaChussets: Addison-Wesley.
[288] Fidkowski, L., and Kitaev, A. 2011. Phys. Rev. B, 83, 075103.
[289] Finck, A. D. K., Harlingen, D. J. Van, Mohseni, P. K., Jung, K., and Li, X. 2013. Phys. Rev. Lett., 110, 126406.
[290] Finnila, A. B., Gomez, M. A., Sebenik, C., Stenson, C., and Doll, D. J. 1994. Chem. Phys. Lett., 219, 343.
[291] Fiola, T. M., Preskill, J., Strominger, A., and Trivedi, S. P. 1994. Phys. Rev. D, 50, 3897.
[292] Fischer, K. H., and Hertz, J. A. 1991. Spin Glasses. Cambridge: ambridge University Press.
[293] Fisher, D. S. 1986. Phys. Rev. Lett., 56, 416.
[294] Fisher, D. S. 1992. Phys. Rev. Lett, 69, 534.
[295] Fisher, D. S. 1994. Phys. Rev. B, 50, 3799.
[296] Fisher, D. S. 1995. Phys. Rev. B, 51, 6411.
[297] Fisher, D. S. 1999. Physica A, 263, 222.
[298] Fisher, D. S., and Huse, D. A. 1988. Phys. Rev. B, 38, 386.
[299] Fisher, D. S., and Young, A. P. 1998. Phys. Rev. B, 58, 9131.
[300] Fisher, M. E. 1963. J. Phys. Math., 4, 124.
[301] Fisher, M. E. 1965. Boulder Lectures in Theoretical Physics vol. 7. Colarado: University of Colorado.
[302] Fisher, M. E., and Selke, W. 1980. Phys. Rev. Lett., 44, 1502.
[303] Fisher, M. E., Ma, S. K., and Nickel, B. G. 1972. Phys. Rev. Lett., 29, 917.
[304] Fishman, S., and Aharony, A. 1979. J. Phys. C, 12, L729.
[305] Fishman, S., Grempel, D. R., and Prange, R. E. 1982. Phys. Rev. Lett., 49, 509.
[306] Fjaerstad, J. O. 2008. J. Stat. Mech., 07011.
[307] Florens, S., Venturelli, D., and Narayanan, R. 2010. Quantum phase transition in the spin boson model. In: Das, A., Chandra, A. K., and Chakrabarti, B. K. (eds), Quantum Quenching, Annealing and Computation: Lecture Notes in Physics, Vol. 802. Heidelberg: Springer.
[308] Florens, S., Freyn, A., Venturelli, D., and Narayanan, R. 2011. Phys. Rev. B, 84, 155110.
[309] Foini, L., Cugiliandolo, L. F., and Gambassi, A. 2011. Phys. Rev. B, 84, 212404.
[310] Fonseca, P., and Zamolodchikov, A. 2006. arXiv:hep-th/0612304.
[311] Fradkin, E. 1991. Field Theories of Condensed Matter Systems. Reading: Addison-Wesley.
[312] Fradkin, E. 2009. J. Phys. A: Math. Theor., 42, 504011. Special Issue “Entanglement Entropy in Extended Quantm Systems” edited by P., Calabrese, J., Cardy and B., Doyon.
[313] Fradkin, E., and Susskind, L. 1978. Phys. Rev. D, 17, 2637.
[314] Franchini, F., Its, A. R., Jin, B. Q., and Korepin, V. E. 2006. arXiv:quant-ph/0606240. (unpublished).
[315] Fubini, A., Falci, G., and Osterloh, A. 2007. New. J. Phys., 9, 134.
[316] Fulga, I. C., Hassler, F., Akhmerov, A. R., and Beenakker, C. W. J. 2011. Phys. Rev. B, 83, 155429.
[317] Gambassi, A., and Silva, A. 2011. arXiv: 1106. 2671.
[318] Gambassi, A., and Silva, A. 2012. Phys. Rev. Lett., 109, 250602.
[319] Ganguli, A., and Dasgupta, S. 2009. Phys. Rev. E, 80, 031115.
[320] Garey, M. R., and Johnson, D. S. 1979. Computers and Intractability: A guide to the theory of NP-completeness. New York: Freeman.
[321] Garnerone, S., Jacobson, N. T., Haas, S., and Zanardi, P. 2009. Phys. Rev. Lett., 102, 057205.
[322] Gehring, K. A., Malozemoff, A. P., Staude, W., and Tyte, R. N. 1971. Sol. State. Comm., 9, 511.
[323] Geman, S., and Geman, D. 1984. IEEE Trans. Pattern Anal. and Math. Intell. PAMI-, 6–6, 721.
[324] Ghosh, S., Parthasarathy, R., Rosenbaum, T. F., and Aeppli, G. 2002. Science, 296, 2195.
[325] Ghosh, S., Rosenbaum, T. F., Aeppli, G., and Coopersmith, S. N. 2003. Nature, 425, 48.
[326] Ghosh, S., Rosenbaum, T. F., and Aeppli, G. 2008. Phys. Rev. Lett., 101, 157205.
[327] Giamarchi, T. 2004. Quantum Physics in One Dimension. Oxford: Oxford University Press.
[328] Giamarchi, T., and Schulz, H. J. 1988. J. Physique (Paris), 49, 819.
[329] Girardeau, M. 1960. J. Math. Phy., 1, 516.
[330] Giraud, R., Wernsdorfer, W., Tkachuk, A. M., Mailly, D., and Barbara, B. 2001. Phys. Rev. Lett., 87, 057203.
[331] Giuliani, G. F., and Vignale, G. 2005. Quantum Theory of Electron Liquid. Cambridge: Cambridge University Press.
[332] Gogolin, A. O., Nersesyan, A. A., and Tsvelik, A. M. 1998. Bosonization and Strongly Correlated Systems. Cambridge: Cambridge University Press.
[333] Goldenfeld, Nigel. 1992. Lectures on Phase transitions and renormalization group. Reading Mass.: Addison-Wesley.
[334] Goldschmidt, Y. Y., and Lai, P. Y. 1990. Phys. Rev. Lett., 64, 2497.
[335] Gordon, D., and Savage, C. M. 1999. Phys. Rev. A, 59, 4623.
[336] Gorin, T., Prosen, T., Seligman, T. H., and Znidaric, M. 2006. Phys. Rep., 435, 33.
[337] Grandi, C. De, and Polkovnikov, A. 2010. Adiabatic perturbation theory: from Landau-Zener problem to quenching through a quantum critical point. In: Das, A., Chandra, A. K., and Chakrabarti, B. K. (eds), Quantum Quenching, Annealing and Computation: Lecture Notes in Physics, Vol. 802. Heidelberg: Springer.
[338] Grandi, C. De, Barankov, R., and Polkovnikov, A. 2008. Phys. Rev. Lett., 101, 230402.
[339] Grandi, C. De, Gritsev, V., and Polkovnikov, A. 2010a. Phys. Rev. B, 81, 224301.
[340] Grandi, C. De, Gritsev, V., and Polkovnikov, A. 2010b. Phys. Rev. B, 81, 012303.
[341] Greenberger, D. M., Horne, M. A., and Zeilinger, A. 1989. Going Beyond Bell's Theorem. In: Kafatos, M. (ed), Bell's Theorem, Quantum Theory and Conceptions of the Universe. Dordrecht, The Netherlands: Kluwer Academics.
[342] Greenblatt, R. L., Aizenmann, M., and Lebowitz, J. L. 2009. Phys. Rev. Lett., 103, 197201.
[343] Greiner, M., Mandel, O., Esslinger, T., Hansch, T. W., and Bloch, I. 2002. Nature (London), 415, 39.
[344] Greinstein, G. 1976. Phys. Rev. Lett., 37, 944.
[345] Griffiths, R. B. 1969. Phys. Rev. Lett, 23, 17.
[346] Griffoni, M., and Hänggi, P. 1998. Physics Reports, 304, 229.
[347] Grinstein, G., and Luther, A. 1976. Phys. Rev. B, 13, 1329.
[348] Gritsev, V., and Polkovnikov, A. 2010. Universal dynamics near quantum critical points. In: Carr, L. D. (ed), Understanding Quantum Phase Transitions. Boca Raton, Florida: Taylor and Francis.
[349] Grossmann, F., Dittrich, T., Jung, P., and Hänggi, P. 1991. Phys. Rev. Lett., 67, 516.
[350] Gruzberg, I. A., Read, N., and Vishveshwara, S. 2005. Phys. Rev. B, 71, 245124.
[351] Gu, S. J. 2009. Phys. Rev. E., 79, 061125.
[352] Gu, S. J. 2010a. Int. J. Mod. Phys., 24, 4371.
[353] Gu, S. J. 2010b. Int. J. Mod. Phys. B, 24, 4371.
[354] Gu, S.-J., and Lin, H.-Q. 2009. Eur. Phys. Lett., 87, 10003.
[355] Gu, S-J., Kwok, H.-M., Ning, W.-Q., and Lin, H.-Q. 2008. Phys. Rev. B., 77, 245109.
[356] Guo, M., Bhatt, R. N., and Huse, D. A. 1994. Phys. Rev. Lett., 72, 4137.
[357] Guo, M., Bhatt, R. N., and Huse, D. A. 1996. Phys. Rev. B, 54, 3336.
[358] Hagemans, R., Caux, J.-S., and Löw, U. 2005. Phys. Rev. B, 71, 014437.
[359] Haldane, F. D. M. 1980. Phys. Rev. Lett., 45, 1358.
[360] Haldane, F. D. M. 1981a. Phys. Rev. Lett., 47, 1840.
[361] Haldane, F. D. M. 1981b. J. Phys. C, 14, 2585.
[362] Haldane, F. D. M. 1982. Phys. Rev. B, 25, 4925.
[363] Hamma, A. 2006. arXiv: quant-ph/0602091.
[364] Happola, J., Halasz, G. B., and Hamma, A. 2012. Phys. Rev. A, 85, 032114.
[365] Haroche, S. 1998. Phys. Today, 51, 36.
[366] Harris, A. B. 1974a. J. Phys. C, 7, 1671.
[367] Harris, A. B. 1974b. J. Phys. C, 7, 3082.
[368] Harris, R., Lanting, T., Berkley, A. J., Johansson, J., Johnson, M. W., Bunyk, P., Ladizin-sky, E., Ladizinsky, N., Oh, T., and Han, S. 2009. Phys. Rev. B, 80, 052506.
[369] Harris, R., Johansson, J., Berkley, A. J., Johnson, M. W., Lanting, T., Han, Siyuan, Bunyk, P., Ladizinsky, E., Oh, T., Perminov, I., Tolkacheva, E., Uchaikin, S., Chapple, E. M., Enderud, C., Rich, C., Thom, M., Wang, J., Wilson, B., and Rose, G. 2010a. Phys. Rev. B., 81, 134510.
[370] Harris, R., Johnson, M. W., Lanting, T., Berkley, A. J., Johansson, J., Bunyk, P., Tolka-cheva, E., Ladizinsky, E., Ladizinsky, N., Oh, T., Cioata, F., Perminov, I., Spear, P., Enderud, C., Rich, C., Uchaikin, S., Thom, M. C., Chapple, E. M., Wang, J., Wilson, B., Amin, M. H. S., Dickson, N., Karimi, K., Macready, B., Truncik, C. J. S., and Rose, G. 2010b. Phys. Rev. B., 82, 024511.
[371] Hasan, M. Z., and Kane, C. L. 2010. Rev. Mod. Phys., 82, 3045.
[372] Henderson, L., and Vedral, V. 2001. J. Phys. A, 34, 6899.
[373] Hendry, P. C. 1994. Nature (London), 368, 315.
[374] Hertz, J. A. 1975. Phys. Rev. B, 14, 1163.
[375] Heyl, M., Polkovnikov, A., and Kehrein, S. 2013. Phys. Rev. Lett.., 110, 135704.
[376] Hikichi, T., Suzuki, S., and Sengupta, K. 2010. Phys. Rev. B, 82, 174305.
[377] Hill, S., and Wootters, W. K. 1997. Phys. Rev. Lett., 78, 5022.
[378] Hines, A. P., McKenzie, R. H., and Milburn, G. J. 2003. Phys. Rev. A, 67, 013609.
[379] Hinrichsen, H. 2000. Adv. Phys., 49, 815.
[380] Hinton, G. E., and Salakhutdinov, R. R. 2006. Science, 313, 504.
[381] Hirsch, J. E., and Mazenko, G. F. 1979. Phys. Rev. B, 19, 2656.
[382] Holstein, T., and Primakoff, H. 1940. Phys. Rev., 58, 1098.
[383] Holzhey, C., Larsen, F., and Wilczek, F. 1994. Nucl. Phys. B, 424, 443.
[384] Hornreich, R. M., Luban, M., and Strikman, B. 1975a. Phys. Rev. Lett., 35, 1638.
[385] Hornreich, R. M., Luban, M., and Strikman, B. 1975b. Phys. Lett. A, 55, 269.
[386] Hornreich, R. M., Luban, M., and Strikman, B. 1977. Physica A, 86, 465.
[387] Horodecki, M. 2001. Qunatum Inf. Comput, 1, 3.
[388] Horstmann, B., Cirac, J. I., and Roscilde, T. 2007. Phys. Rev. A, 76, 043625.
[389] Huang, Z., Osenda, O., and Kais, S. 2004. Phys. Lett. A, 322, 137.
[390] Huse, D. A., and Fisher, D. A. 1986. Phys. Rev. Lett., 57, 2203.
[391] Ibanez, S., Martnez-Garaot, S., Chen, Xi, Torrontegui, E., and Muga, J. G. 2011. Phys. Rev. A, 84, 023415.
[392] Iglói, F., and Monthus, C. 2005. Phys. Reports, 412, 277.
[393] Iglói, F., and Rieger, H. 1997. Phys. Rev. Lett., 78, 2473.
[394] Iglói, F., and Rieger, H. 1998. Phys. Rev. B, 57, 10404.
[395] Iglói, F., and Rieger, H. 2000. Phys. Rev. Lett., 85, 3233.
[396] Iglói, F., and Rieger, H. 2011. Phys. Rev. Lett., 106, 035701.
[397] Iglói, F., Peschel, I., and Turban, L. 1993. Adv. Phys., 42, 683.
[398] Iglói, F., Roosz, Gergo, and Lin, Yu-Cheng. 2013. New. J. Phys., 15, 023036.
[399] Ikegami, T., Miyashita, S., and Rieger, H. 1998. J. Phys. Soc. Jap., 67, 2671.
[400] Imry, Y., and Ma, S. K. 1975. Phys. Rev. Lett., 35, 1399.
[401] Inoue, J. 2001. Phys. Rev. E, 63, 046114.
[402] Ishii, H., and Yamamoto, T. 1985. J. Phys. C, 18, 6225.
[403] Its, A. R., Jin, B. Q., and Korepin, V. E. 2005. J. Phys. A, 38, 2975.
[404] Itzykson, C., Saleur, H., and Zuber, J.-B. 1988. Conformal invariance and applications to statistical mechanics. Singapore: World Scientific.
[405] Iucci, A., and Cazalilla, M. A. 2009. Phys. Rev. A, 80, 063619.
[406] Iucci, A., and Cazalilla, M. A. 2010. New J. Phys., 12.
[407] Jalabert, R. A., and Pastawski, H. M. 2001. Phys. Rev. Lett., 86, 246.
[408] Jensen, J., and Mackintosh, A. R. 1991. Rare Earth Magnetism. Clarendon, Oxford.
[409] Jin, B., and Korepin, V. E. 2004. J. Stat. Phys., 116, 79.
[410] Jinn-Zustin, J. 1989. Quantum field theory and critical phenomena. Oxford: Clarendon Press.
[411] Joensson, P. E., Mathieu, R., Wernsdorfer, W., Tkachuk, A. M., and Barbara, B. 2007. Phys. Rev. Lett., 98, 256403.
[412] Johnson, M. W., Amin, M. H. S., Gildert, S., Lanting, T., Hamze, F., Dickson, N., Harris, R., Berkley, A. J., Johansson, J., Bunyk, P., Chapple, E. M., Enderud, C., Hilton, J. P., Karimi, K., Ladizinsky, E., Ladizinsky, N., Oh, T., Perminov, I., Rich, C., Thom, M. C., Tolkacheva, E., Truncik, C. J. S., Uchaikin, S., Wang, J., Wilson, B., and Rose, G. 2011. Nature, 473, 194.
[413] Joos, E., Zeh, H. D., Keifer, C., Giulini, D., Kupsch, J., and Statatescu, I-O. 2003. Decoherence and the Appearance of a Classical World in a Quantum Theory. Berlin: Springer Presse.
[414] Jorg, T., Krezkala, F., Kurchan, J., and Maggs, A. C. 2008. Phys. Rev. Lett., 101, 147204.
[415] Jorg, T., Krzakala, F., Kurchan, J., Maggs, A. C., and Pujos, J. 2010. Eur. Phys. Lett., 89(4), 40004.
[416] Jose, J, Kadanoff, L. P., Kirkpatrick, S., and Nelson, D. R. 1977. Phys. Rev. B, 16, 1217.
[417] Jozsa, R. 1994. J. Mod. Opt., 41, 2315.
[418] Kadowaki, T., and Nishimori, H. 1998. Phys. Rev. E, 58, 5355.
[419] Kaminow, I. P., and Damen, T. C. 1968. Phys. Rev. Lett., 20, 1105.
[420] Kane, C. L., and Mele, E. J. 2005. Phys. Rev. Lett., 95, 226801.
[421] Kapitza, L. 1951. Sov. Phys. JETP, 21, 588.
[422] Karadamoglou, J., and Papanicolau, N. 1999. Phys. Rev. B, 60, 9477.
[423] Karkuszewski, Z. P., Jarzynski, C., and Zurek, W. H. 2002. Phys. Rev. Lett., 89, 170405.
[424] Karrasch, C., and Schuricht, D. 2013. Phys. Rev. B, 87, 195104.
[425] Kasteleyn, P. W., and Fortuin, G. M. 1969. J. Phys. Soc. Japn., 26, 11.
[426] Katsura, S. 1962. Phys. Rev, 127, 132.
[427] Katzgraber, H. J., Larson, D., and Young, A. P. 2009. Phys. Rev. Lett., 102, 177205.
[428] Kayanuma, Y. 1993. Phys. Rev. B, 47, 9940.
[429] Kayanuma, Y. 1994. Phys. Rev. A, 50, 843.
[430] Kayanuma, Y., and Mizumoto, Y. 2000. Phys. Rev. A, 62, 061401(R).
[431] Kenzelmann, M., Coldea, R., Tennant, D. A., Visser, D., Hofmann, M., Smeibidl, P., and Tylczynski, Z. 2002. Phys. Rev. B, 65, 144432.
[432] Kibble, T. W. B. 1976. J. Phys. A, 9, 1387.
[433] Kibble, T. W. B. 1980. Phys. Rep., 67, 183.
[434] Kim, K., Chang, M.-S., Korenblit, S., Islam, R., Edwards, E. E., Freericks, J. K., Lin, G.-D., Duan, L.-M., and Monroe, C. 2010. Nature, 465, 590.
[435] Kinoshita, T., Wenger, T., and Weiss, D. S. 2004. Science, 305, 1125.
[436] Kirchner, Stefan, Ingersent, Kevin, and Si, Qimiao. 2012. Phys. Rev. B, 85, 051113.
[437] Kirkpatrick, S., (Jr.), C. D., Gelatt, and Vecchi, M. P. 1983. Science, 220, 5130.
[438] Kisker, J., and Young, A. P. 1998. Phys. Rev. B, 58, 14397.
[439] Kitaev, A. 2001. Physics-Uspekhi, 44, 131.
[440] Kitaev, A. 2006. Ann. Phys., 321, 2.
[441] Kitaev, A. 2010. Topological phases and quantum computation. In: Exact Methods in Low-dimensional Statistical Physics and Quantum Computing Lecture Notes ofthe Les Houches Summer School: Vol:89. Oxford: Oxford University Press.
[442] Kitaev, A. Y. 2003. Ann. Phy. (NY), 303, 2.
[443] Kitagawa, T., Oka, T., Brataas, A., Fu, L., and Demler, E. 2011. Phys. Rev. B, 84, 235108.
[444] Kittel, C. 1963. Quantum Theory of Solids. New York: John Willey and Sons Inc.
[445] Kjäll, J. A., Pollmann, F., and Moore, J. E. 2011. Phys. Rev. B, 83, 020407.
[446] Klich, I., Lannert, C., and Refael, G. 2007. Phys. Rev. Lett., 99, 205303.
[447] Kobayashi, K. K. 1968. J. Phys. Soc. Japan, 24, 497.
[448] Kogut, J. B. 1979. Rev. Mod. Phys., 51, 659.
[449] Konig, M., Buhmann, H., Molenkamp, L. W., Hughes, T., Liu, C-X., Qi, X-L., and Zhang, S-C. 2008. J. Phys. Soc. Jpn., 77, 031007.
[450] Kopec, T. K. 1988a. J. Phys. A, 21, 297.
[451] Kopec, T. K. 1988b. J. Phys. A, 21, 6053.
[452] Kopp, A., and Chakravarty, S. 2005. Nat. Phys., 1, 53.
[453] Korepin, V. E. 2004. Phys. Rev. Lett., 92, 096402.
[454] Kosterlitz, J. M. 1976. Phys. Rev. Lett., 37, 1577.
[455] Kosterlitz, J. M., and Thouless, D. J. 1973. J. Phys. C, 6, 1181.
[456] Kotliar, G., Anderson, P. W., and Stein, D. L. 1983. Phys. Rev. B, 27, 602.
[457] Kovacs, I. A., and Iglói, F. 2011. Phys. Rev. B, 83, 174207.
[458] Kraemer, C., Nikseresht, N., Piatek, J. O., N., Tsyrulin, and B., Dalla Piazza, Kiefer, K., Klemke, B., Rosenbaum, T. F., Aeppli, G., Gannarelli, C., Prokes, K., Podlesnyak, A., Strssle, T., Keller, L., Zaharko, O., Kramer, K. W., and Ronnow, H. M. 2012. Science, 336, 1416.
[459] Kramers, H. A., and Wannier, G. H. 1941. Phys. Rev., 60, 252.
[460] Kubo, R. 1952. Phys. Rev., 87, 568.
[461] Kumar, M., Soos, Z. G., Sen, D., and Ramasesha, S. 2010. Phys. Rev. B, 81, 104406.
[462] Kumar, P., Mahapatra, S., Phukon, P., and Sarkar, T. 2012. Phys. Rev. E, 86, 051117.
[463] Kundu, A., and Subrahmanyam, V. 2013. arxiv:1307. 1325.
[464] Kurmann, J., Thomas, H., and Muller, G. 1982. Physica, 112A, 235.
[465] Kwok, H. M., Ho, C. S., and Gu, S. J. 2008a. Phys. Rev. A, 78, 062302.
[466] Kwok, H.-M., Ning, W.-Q., Gu, S-J., and Lin, H.-Q. 2008b. Phys. Rev. E, 78, 032103.
[467] Laflorencie, N. 2005. Phys. Rev. B, 72, 140408.
[468] Lage, E. J. S., and Stinchcombe, R. B. 1976. J. Phys. C, 9, 3295.
[469] Laguna, P., and Zurek, W. H. 1997. Phys. Rev. Lett., 78, 2519.
[470] Lal, S., and Sen, D. 2000a. Phys. Rev. B, 61, 9001.
[471] Lal, S., and Sen, D. 2000b. Phys. Rev. B, 52, 337.
[472] Landau, L. 1932. Phys. Sov. Union, 2, 46.
[473] Latorre, J. I., and Riera, A. 2009. J. Phys. A, 42, 504002. Special Issue “Entanglement Entropy in Extended Quantm Systems” edited by P., Calabrese, J., Cardy and B., Doyon.
[474] Latorre, J. I., Rico, E., and Vidal, G. 2004. Quant. Inf. Comput., 4, 48.
[475] Lee, D. H., Zhang, G-M, and Xiang, T. 2007. Phys. Rev. Lett, 99, 196805.
[476] Lee, K. L., Gremaud, B., Han, R., Englert, B.-G., and Miniatura, C. 2009. Phys. Rev. A, 80, 043411.
[477] Leggett, A. J., and Chakravarti, S. 1987. Rev. Mod. Phys, 59, 1.
[478] Lewenstein, M., Sanpera, A., Ahufinger, V., Damski, B., De A., Sen, and Sen, U. 2007. Advances in Physics, 56, 243.
[479] Li, B., Li, S.-H., and Zhou, H.-Q. 2009. Phys. Rev. E, 79, 060101(R).
[480] Li, Y. 2008. Phys. Lett. A, 372, 6207.
[481] Li, Y. C., and Lin, H. Q. 2011. Phys. Rev. A, 83, 052323.
[482] Lieb, E., Schultz, T., and Mattis, D. 1961. Ann. Phys. (NY), 16, 407.
[483] Lieb, E. H., and Robinson, D. W. 1972. Commun Math. Phys., 28, 251.
[484] Lin, Y. C., Kawashima, N., Iglói, F., and Rieger, H. 2000. Prog. Theor. Phys. Supp., 138, 479.
[485] Lin, Y C., Iglói, F., and Rieger, H. 2007. Phys. Rev. Lett., 99, 147202.
[486] Lindner, N. H., Refael, G., and Galitski, V. 2011. Nature Phys., 7, 490.
[487] Lipkin, H. J., Meshkov, N., and Glick, A. J. 1965. Nucl. Phys., 62, 188.
[488] Luo, S. 2008. Phys. Rev. A, 77, 042303.
[489] Lutchyn, R. M., and Fisher, M. P. A. 2011. New J. Phys., 84, 214528.
[490] Luther, A., and Peschel, I. 1975. Phys. Rev. B, 12, 3908.
[491] Luttinger, J. M., and Tisza, L. 1946. Phys. Rev., 70, 954.
[492] Ma, J., Xu, L., Xiang, H. N., and Wang, X. 2008. Phys. Rev. E, 78, 051126.
[493] Ma, J., L., Xu, and Wang, X. 2010. Comm. Theor. Phy, 53, 175.
[494] Ma, S. K. 1976. Modern theory of critical phenomena. Reading Mass.: Benjamin.
[495] Mahan, G. D. 2000. Many-Particle Physics. New York: Kluwer Academic/Plenum Publishers.
[496] Majorana, E. 1932. Nuovo Cimento, 9, 43.
[497] Majumdar, C. K., and Ghosh, D. K. 1969. J. Math. Phys., 10, 1388 and 1399.
[498] Mandelstam, S. 1975. Phys. Rev. D, 11, 3026.
[499] Margolus, N., and Levitin, L. B. 1998. Physica D, 120, 188.
[500] Martonak, R., Santoro, G. E., and Tosatti, E. 2004. Phys. Rev. E., 70, 057701.
[501] Mathey, L., and Polkovnikov, A. 2010. Phys. Rev. A, 81, 033605.
[502] Matsuda, Y., Nishimori, H., and Katzgraber, H. G. 2009. New. J. Phys., 11(7), 073021.
[503] Mattis, D. C. 1974. J. Math. Phys., 15, 609.
[504] Maziero, J., Cleri, L. C., Serra, R. M., and Sarandy, M. S. 2012. Phys. Lett. A, 376, 1540.
[505] Mazur, P. 1969. Physica A, 43, 533.
[506] Mazza, L., D., Rossini, and M., Endres, and Fazio, R. 2014. Phys. Rev. B, 90, 020301(R).
[507] McCoy, B. M. 1969a. Phys. Rev. Lett., 23, 383.
[508] McCoy, B. M. 1969b. Phys. Rev., 188, 1014.
[509] McCoy, B. M., and Wu, T. T. 1968. Phys. Rev., 176, 631.
[510] McCoy, B. M., and Wu, T. T. 1973. Two Dimensional Ising Models. Cambridge, Massachusetts: Haravard University Press.
[511] McCoy, B. M., Barouch, E., and Abraham, D. B. 1971. Phys. Rev. A, 4, 2331.
[512] Mennenga, G., de Jong, L. J., and Huiskamp, W. J. 1984. J. Magn. Magn. Mat, 44, 48.
[513] Messiah, A. 1999. Quantum Mechanics. Minoela, N. Y.: Dover Publications.
[514] Mezard, M., and Zecchina, R. 2002. Phys. Rev. E, 66, 56126.
[515] Mezard, M., Parisi, G., and Zecchina, R. 2002. Science, 297, 812.
[516] Mias, G. I., and Girvin, S. M. 2005. Phys. Rev. B, 72, 064411.
[517] Micheli, A., Jaksch, D., Cirac, J. I., and Zoller, P. 2003. Phys. Rev. A, 67, 013607.
[518] Miller, J., and Huse, D. 1993. Phys. Rev. Lett., 70, 3147.
[519] Miyashita, S., Raedt, H. De, and Barbara, B. 2009. Phys. Rev. B, 79, 104422.
[520] Modugno, M. 2009. New J. Phys., 11, 33023.
[521] Mohan, P., Narayanan, R., and Vojta, Thomas. 2010. Phys. Rev. B, 81, 144407.
[522] Monaco, R., Aaroe, M., Mygind, J., Rivers, R. J., and Koshelets, V. P. 2006. Phys. Rev. B, 74, 144513.
[523] Mondal, S., Sen, D., and Sengupta, K. 2008. Phys. Rev. B, 78, 045101.
[524] Mondal, S., Sengupta, K., and Sen, D. 2009. Phys. Rev. B, 79, 045128.
[525] Mondal, S., Sen, D., and Sengupta, K. 2010. Non-equilibrium dynamics of quantum systems: order parameter evolution, defect generation, and qubit transfer. In: Das, A., Chandra, A. K., and Chakrabarti, B. K. (eds), Quantum Quenching, Annealing and Computation; Lecture Notes in Physics, Vol. 802. Heidelberg: Springer.
[526] Montambaux, G., Piechon, F., Fuchs, J.-N., and Goerbig, M. O. 2009. Phys. Rev. B, 80, 153412.
[527] Monthus, C., Golinelli, O., and Jolicour, Th. 1997. Phys. Rev. Lett., 79, 3254.
[528] Morita, S., and Nishimori, H. 2008. J. Math. Phys, 49, 125210.
[529] Mostame, S., Schaller, G., and Schutzhold, R. 2007. Phys. Rev. A, 76, 030304(R).
[530] Motrunich, O., Mau, S-C, Huse, D. A., and Fisher, D. S. 2000. Phys. Rev. B, 61, 1160.
[531] Mourik, V., Zuo, K., Frolov, S. M., Plissard, S. R., Bakkers, E. P. A. M., and Kouwen-hoven, L. P. 2012. Science, 336, 1003.
[532] Mukherjee, V., and Dutta, A. 2009. J. Stat. Mech., P05005.
[533] Mukherjee, V., and Dutta, A. 2010. Eur. Phys. Lett., 92, 37004.
[534] Mukherjee, V., and Dutta, A. 2011. Phys. Rev. B, 83, 214302.
[535] Mukherjee, V., Divakaran, U., Dutta, A., and Sen, D. 2007. Phys. Rev. B, 76, 174303.
[536] Mukherjee, V., Dutta, A., and Sen, D. 2008. Phys. Rev. B, 77, 214427.
[537] Mukherjee, V., Polkovnikov, A., and Dutta, A. 2011. Phys. Rev. B, 83, 344.
[538] Mukherjee, V., Dutta, A., and D., Sen. 2012. Phys. Rev. B, 85, 024301.
[539] Müller, G., and Shrock, R. E. 1985. Phys. Rev. B, 32, 5845.
[540] Muller-Hartmann, E., and Zittartz, J. 1977. Z. Phys. B, 27, 261.
[541] Mussardo, G. 2010. Statistical Field Theory. Oxford: Oxford University Press.
[542] Nag, T., Patra, A., and Dutta, A. 2011. J. Stat. Mech: Theor. Expt, 08026.
[543] Nag, T., Divakaran, U., and Dutta, A. 2012. Phys. Rev. B, 86, 020401(R).
[544] Nag, T., Dutta, A., and Patra, A. 2013. Int. J. Mod. Phys, 27, 1345036.
[545] Nag, T., Roy, S., Dutta, A., and Sen, D. 2014. Phys. Rev. B, 89, 165425.
[546] Nagaosa, N. 1999. Quantum field theory in condensed matter physics. Heidelberg: Springer.
[547] Nagy, A. 2011. New J. Phys., 13, 023015.
[548] Narayanan, R., Vojta, T., Belitz, D., and Kirkpatrick, T. R. 1999. Phys. Rev. Lett., 82,5132.
[549] Nattermann, T. 1998. Theory of the random field Ising model. In: Spin Glasses and Random Fields. Singapore: World Scientific.
[550] Nayak, C., S. H., Simon, A., SternM., Freedman, and Sarma, S. Das. 2008. Rev. Mod.Phys., 80, 1083.
[551] Nehrkorn, J., Montangero, S., Ekert, A., Smerzi, A., Fazio, R., and Calarco, T. 2011. arXiv:1105. 1707. (unpublished).
[552] Nersesyan, A. A., Luther, A., and Kusmartsev, F. V. 1993. Phys. Lett. A, 176, 363.
[553] Neto, A. H., Castro, Guinea, F., Peres, N. M. R., Novoselov, K. S., and Geim, A. K. 2009. Rev. Mod. Phys., 81, 109.
[554] Newman, C. M., and Schulman, L. S. 1986. Commun. Math. Phys., 104, 547.
[555] Nielsen, M. A., and Chuang, I. C. 2009. Quantum Computation and Quantum Information. Cambridge: Cambridge University Press.
[556] Nishimori, H., and Ortiz, G. 2010. Elements of Phase Transitions and Critical Phenomena. Oxford: Oxford University Press.
[557] Nishiyama, Y. 2007. Phys. Rev. E, 75, 051116.
[558] Niu, Y., Chung, S. B., Hsu, C.-H., Mandal, I., Raghu, S., and Chakravarty, S. 2012. Phys. Rev. B, 85, 035110.
[559] Novoselov, K., Geim, A., Morozov, S., Jiang, D., Grig-orieva, M., Dubonos, S., andFirsov, A. 2005. Nature, 438, 197.
[560] Nussinov, Z., and Ortiz, G. 2008. arXiv:0812. 4309. (unpublished).
[561] Ochiai, T., and Onoda, M. 2009. Phys. Rev. B, 80, 155103.
[562] Okamoto, K., and Nomura, K. 1992. Phys. Lett. A, 169, 433.
[563] Okamoto, K., and Yasumura, K. 1990. Physica A, 59, 993.
[564] Olliver, H., and Zurek, W. H. 2001. Phys. Rev. Lett., 88, 017901.
[565] Osborne, J., and Nielsen, M. A. 2002. Phys. Rev. A, 66, 032110.
[566] Osenda, O., Huang, Z., and Kais, S. 2003. Phys. Rev. A, 67, 062321.
[567] Osterloh, A., Amico, L., Falci, G., and Fazio, R. 2002. Nature, 416, 608.
[568] Ou, Y-C., and Fan, H. 2007. J. Phys. A-Math. Gen., 40, 2455.
[569] Pachos, J. K., and Carollo, A. 2006. Phil. Trans. R. Soc. Lond. A, 364, 3663.
[570] Pal, A., and Huse, D. A. 2010. Phys. Rev. B, 82, 174411.
[571] Pal, A. K., and Bose, I. 2011. J. Phys. B: At. Mol. Opt. Phys., 44, 045101.
[572] Pancharatnam, S. 1956. Proc. Indian Acad. Sci. A, 44, 247.
[573] Paredes, B., Widera, A., Murg, V., Mandel, O., Folling, S., Cirac, I., Shlyapnikov, G. V.,Hansch, T. W., and Bloch, I. 2004. Nature, 429, 277.
[574] Parisi, G. 1978. Phys. Rev. Lett., 43, 1754.
[575] Parisi, G. 1979. Phys. Lett. A, 73, 203.
[576] Parisi, G. 1980. J. Phys. A, 13, 1101.
[577] Parisi, G. 1983. Phys. Rev. Lett., 50, 1946.
[578] Parisi, G. 1988. Statistical Field theory. Reading, Mass.: Addison-Wesley.
[579] Patane, D., Silva, A., Amico, M., Fazio, R., and Santoro, G. E. 2008. Phys. Rev. Lett., 101, 175701.
[580] Patane, D., Amico, L., Silva, A., Fazio, R., and Santoro, G. E. 2009. Phys. Rev. B, 80, 024302.
[581] Patel, A. A., and Dutta, A. 2012. Phys. Rev. B, 86, 174306.
[582] Patel, A. A., Sharma, S., and Dutta, A. 2013a. Eur. Phys. Lett., 102, 46001.
[583] Patel, A. A., Sharma, S., and Dutta, A. 2013b. Eur. Phys. J. B, 86, 367.
[584] Pati, S., Chitra, R., Sen, D., Ramasesha, S., and Krishnamurthy, H. R. 1997. J. Phys. Condens. Matter, 9, 219.
[585] Patra, A., Mukherjee, V., and Dutta, A. 2011. J. Stat. Mech., P03026.
[586] Paunkovic, N., and Viera, V. R. 2008. Phys. Rev. B, 77, 011129.
[587] Paunkovic, N., Sacramento, P. D., Nogueira, P., Vieria, V. R., and Dugaev, V. K. 2008.Phys. Rev. A, 77, 052302.
[588] Pazmandi, F., Scalettar, R. T., and Zimanyi, G. T. 1997. Phys. Rev. Lett., 79, 5130.
[589] Pellegrini, F., Montangero, S., Santoro, G. E., and Fazio, R. 2008. Phys. Rev. B, 77, 140404.
[590] Peng, X., Wu, S., Suter, D., and Du, J. 2010. Phys. Rev. Lett., 105, 240405.
[591] Perdomo-Ortiz, A., Dickson, N., Drew-Brook, M., Rose, G., and Aspuru-Guzik, A. 2012. Scientific Reports, 2, 571.
[592] Peres, A. 1984. Phys. Rev. A, 30, 1610.
[593] Peres, A. 1995. Quantum Theory: Concepts and Methods. Dordrecht: Kluwer Academic Publishers.
[594] Peres, A. 1996. Phys. Rev. Lett., 77, 1413.
[595] Perk, J. H. H., Capel, H. W., and Zuilhof, M. J. 1975. Physica A, 81, 319.
[596] Perk, J. H. H., Capel, H. W., and Siskens, T. J. 1977. Physica A, 89, 304.
[597] Perk, J. J. H., and Au-Yang, H. 2009. J. Stat. Phys, 135, 599.
[598] Peschel, I., and Emery, V. J. 1981. Z. Phys. B, 43, 241.
[599] Pfeuty, P. 1970. Ann. Phys. (N.Y.), 57, 79.
[600] Pich, C., Young, A. P., Rieger, H., and Kawashima, N. 1998. Phys. Rev. Lett., 81, 5196.
[601] Pirc, R., Tadic, B., and Blinc, R. 1985. Z. Phys. B, 65, 69.
[602] Platini, T., Karevski, D., and Turban, L. 2007. J. Phys: A. Math. Theor., 40, 1467.
[603] Plenio, M. B., and Virmani, S. 2007. Qaunt. Inf. Comput, 07, 1.
[604] Pokrovsky, V. L., and Talapov, A. L. 1979. Phys. Rev. Lett., 42, 65.
[605] Polkovnikov, A. 2005. Phys. Rev. B, 72, R161201.
[606] Polkovnikov, A., and Gritsev, V. 2008. Nature Phys., 4, 477.
[607] Polkovnikov, A., Sengupta, K., Silva, A., and Vengalattore, M. 2011. Rev. Mod. Phys., 83, 863.
[608] Pollmann, F., Mukerjee, S., Turner, A. M., and Moore, J. E. 2009. Phys. Rev. Lett., 102, 255701.
[609] Pollmann, F., Mukerjee, S., Turner, A. M., and Moore, J. E. 2010. Phys. Rev. E, 81, 020101.
[610] Pollmann, F., Hauge, M., and Dora, B. 2013. Phys. Rev. B, 87, 041109(R).
[611] Prokof'ev, N. V., and Stamp, P. C. E. 2000. Rep. Prog. Phys., 63, 669.
[612] Qi, X.-L., and Zhang, S.-C. 2011. Rev. Mod. Phys., 83, 1057.
[613] Quan, H. T. 2009. J. Phys. A: Math. Theor, 42, 395002.
[614] Quan, H. T., and Cucchietti, F. M. 2009. Phys. Rev. E, 79, 031101.
[615] Quan, H. T., and Zurek, W. H. 2010. New J. Phys., 12, 093025.
[616] Quan, H. T., Song, Z., Liu, X. F., Zanardi, P., and Sun, C. P. 2006. Phys. Rev. Lett., 96,140604.
[617] Quhe, R., Zheng, J., Lou, G., Liu, Q., Qin, R., Zhou, J., Yu, D., Nagase, S., Mei, W-N., Gao, Z., and Lu, J. 2012. NPG Asia Materials, 4, e6.
[618] Quilliam, J. A., Mugford, C. G. A., Gomez, A., Kycia, S. W., and Kycia1, J. B. 2007. Phys. Rev. Lett., 98, 037203.
[619] Quilliam, J. A., Meng, S., Mugford, C. G. A., and Kycia, J. B. 2008. Phys. Rev. Lett., 101, 187204.
[620] Rainis, D., Trifunovic, L., Klinovaja, J., and Loss, D. 2013. Phys. Rev. Lett., 87, 024515.
[621] Rajak, A., and Divakaran, U. 2014. J. Stat. Mech, P04023.
[622] Rajak, A., and Dutta, A. 2014. Phys. Rev. E, 89, 042125.
[623] Ramazashvilli, R. 1999. Phys. Rev. B, 60, 7314.
[624] Rams, M. M., and Damski, B. 2010. Phys. Rev. Lett., 106, 055701.
[625] Rams, M. M., and Damski, B. 2011. Phys. Rev. A, 84, 032324.
[626] Randeria, M., Sethna, J. P., and Palmer, R. G. 1985. Phys. Rev. Lett., 54, 1321.
[627] Rao, S., and Sen, D. 2001. An Introduction to Bosonization and Some of Its Applications. In: Field theories in Condensed Matter Physics. New Delhi: Hindustan Book Agency, New Delhi.
[628] Ray, P., Chakrabarti, B. K., and Chakrabarti, A. 1989. Phys. Rev. B, 39, 11828.
[629] Read, N., and Sachdev, S. 1996. Nucl. Phys. B (Proc. Supp.), 45 A, 38.
[630] Read, N., Sachdev, S., and Ye, J. 1995. Phys. Rev. B, 52, 384.
[631] Rechtsman, M. C., Zeuner, J. M., Plotnik, Y., Lumer, Y., Podolsky, D., Nolte, S., Dreisow, F., Segev, M., and Szameit, A. 2013. Nature, 496, 196.
[632] Refael, G., and Moore, J. E. 2004. Phys. Rev. Lett., 93, 260602.
[633] Refael, G., and Moore, J. E. 2009. J. Phys. A: Math. Theor., 42, 504010. SpecialIssue “Entanglement Entropy in Extended Quantm Systems” edited by P., Calabrese, J., Cardy and B., Doyon.Google Scholar
[634] Reich, D., Ellman, B., Yang, I., Rosenbaum, T., Aeppli, G., and Belanger, D. P. 1990. Phys. Rev. B., 42, 4631.
[635] Reich, D. H., Rosenbaum, T. F., Aeppli, G., and Guggenheim, H. J. 1986. Phys. Rev.B., 34, 4956.
[636] Reich, D. H., Rosenbaum, T. F., and Aeppli, G. 1987. Phys. Rev. Lett., 59, 1969.
[637] Ribeiro, P., Vidal, J., and Mosseri, R. 2007. Phys. Rev. Lett., 99, 050402.
[638] Rieger, H. 1995. Monte Carlo simulations of Ising spin glasses and random field systems. In: Stauffer, D. (ed), Annual Review of Computational Physics II. Singapore: World Scientific.
[639] Rieger, H., and Igloi, F. 1998. Phys. Rev. B, 57, 11404.
[640] Rieger, H., and Iglói, F. 1999. Phys. Rev. Lett., 83, 3741.
[641] Rieger, H., and Kawashima, N. 1999. Eur. Phys. J. B, 9, 233.
[642] Rieger, H., and Young, A. P. 1994. Phys. Rev. Lett., 72, 4141.
[643] Rieger, H., and Young, A. P. 1996. Phys. Rev. B, 54, 3328.
[644] Rieger, H., and Young, A. P. 1997. Quantum Spin Glasses. In: Rubi, M., and Perez-Vicente, C. (eds), Complex Behavior of Glassy Systems: Lecture Notes in Physics Vol. 492. Heidelberg: Springer-Verlag.
[645] Rigol, M., Dunjko, V., and Olshani, M. 2008. Nature, 452, 854.
[646] Rokhinson, L. P., Liu, X., and Furdyna, J. K. 2012. Nature Phys., 8, 795.
[647] Ronnow, H. M., Parthasarathy, R., Jensen, J., Aeppli, G., Rosenbaum, T. F., and Mc-Morrow, D. F. 2005. Science, 308, 389.
[648] Ronnow, H. M., Jensen, J., Parthasarathy, R., Aeppli, G., Rosenbaum, T. F., McMorrow, D. F., and Kraemer, C. 2007. Phys. Rev. B, 75, 054426.
[649] Rosen, N., and Zener, C. 1932. Phys. Rev., 40, 502.
[650] Rossini, D., Calarco, T., Giovannetti, V., Montangero, S., and Fazio, R. 2007. J. Phys.A: Math. Theor., 40, 8033.
[651] Rossini, D., Silva, A., Mussardo, G., and Santoro, G. 2009. Phys. Rev. Lett., 102, 127204.
[652] Rossini, D., Suzuki, S., Mussardo, G., Santoro, G. E., and Silva, A. 2010. Phys. Rev. B, 82, 144302.
[653] Rossini, D., Fazio, R., Giovannetti, V., and Silva, A. 2014. Phys. Rev. B, 90, 020301(R).
[654] Rujan, P. 1981. Phys. Rev. B, 24, 6620.
[655] Russomanno, A., Silva, A., and Santoro, G. E. 2012. Phys. Rev. Lett., 109, 257201.
[656] Russomanno, A., Silva, A., and Santoro, G. E. 2013. J. Stat. Mech., P09012.
[657] Ruutu, V. M. H., Eltsov, V. B., Gill, A. J., Kibble, T. W. B., Krusius, M., Makhlin, Yu. G.,Placais, B., Volovik, G. E., and Xu, W. 1996. Nature, 382, 334.
[658] Sachdev, S. 2011. Quantum Phase Transitions. Cambridge: Cambridge University Press.
[659] Sachdev, S., and Young, A. P. 1997. Phys. Rev. Lett., 78, 2220.
[660] Sachdev, S., Read, N., and Oppermann, R. 1995. Phys. Rev. B, 52, 10286.
[661] Sachdev, S., Troyer, M., and Vojta, M. 2001. Phys. Rev. Lett., 86, 2677.
[662] Sachdeva, R., Nag, T., Agarwal, A., and Dutta, A. 2014. Phys. Rev. B, 90, 045421.
[663] Sadler, L. E., Higbie, J. M., Leslie, S. R., Vengalattore, M., and Stamper-Kurn, D. M. 2006. Nature, 443, 312.
[664] Saito, H., Hulet, R. G., and Ueda, M. 2007. Phys. Rev. A., 76, 043613.
[665] Sakai, T., and Takahashi, M. 1999. Phys. Rev. B, 60, 7295.
[666] Samara, G. A. 1971. Phys. Rev. Lett, 27, 103.
[667] Sandvik, A. W. 2001. Phys. Rev. Lett., 86, 3209.
[668] Santacharia, R. 2006. J. Stat. Mech., L06002.
[669] Santoro, G. E., and Tosatti, E. 2006. J. Phys. A, 39, R393.
[670] Santoro, G. E., Martonak, R., Tosatti, E., and Car, R. 2002. Science, 295, 2427.
[671] Sarandy, M. S. 2009. Phys. Rev. A, 80, 022108.
[672] Sato, A., and Matsubara, F. 1999. Phys. Rev. B, 60, 10316.
[673] Sau, J. D., and Sarma, S. Das. 2012. Nature Communications, 3, 964.
[674] Sauer, S., Mintert, F., Gneiting, C., and Buchleitner, A. 2012. J. Phys. B: At. Mol. Opt. Phys., 45, 154011.
[675] Schaller, G. 2008. Phys. Rev. A, 78, 032328.
[676] Schechter, M. 2008. Phys. Rev. B, 77, 020401.
[677] Schechter, M., and Stamp, P. C. E. 2005. Phys. Rev. Lett., 95, 267208.
[678] Schechter, M., and Stamp, P. C. E. 2008. Phys. Rev. B, 78, 054438.
[679] Schechter, M., Stamp, P. C. E., and Laflorencie, N. 2008. Phys. Rev. B, 78, 054438.
[680] Schmidt, M. A., Silevitch, D. M., Aeppli, G., and Rosenbaum, T. F. 2014. Proc, Nat.Acad. Sci., 111, 3689.
[681] Schollwöck, U., Jolicoeur, Th., and Garel, T. 1996. Phys. Rev. B, 53, 3304.
[682] Schotte, K. D., and Schotte, U. 1969. Phys. Rev., 182, 479.
[683] Schroeder, A., Aeppli, G., Bucher, E., Ramazasvilli, R., and Coleman, P. 1998. Phys.Rev. Lett., 80, 5623.
[684] Schulman, L. S. 1983. J. Phys. A, 16, L639.
[685] Schultz, T. D., Mattis, D. C., and Lieb, E. 1964. Rev. Mod. Phys, 36, 856.
[686] Schulz, H. J. 1995. Fermi Liquids and non-Fermi Liquids. In: Akkermans, E., Mon-tambaux, G., Pichard, J., and Zinn-Justin, J. (eds), Proceedings of Les Houches Summer School LXI. Amsterdam: Elsevier.
[687] Schulz, H. J., Cuniberti, G., and Pieri, P. 2000. Fermi liquids and Luttinger liquids. In: Morandi, G., Tagliacozzo, A., and Sodano, P. (eds), Field Theories for Low Dimensional Condensed Matter Systems. Berlin: Springer.
[688] Schutzhold, R. 2008. J. Low. Temp. Phys., 153, 228.
[689] Schwandt, D., Alet, F., and Capponi, S. 2009. Phys. Rev. Lett., 103, 170501.
[690] Scmidt, M. J., Rainis, D., and Loss, D. 2012. Phys. Rev. B, 86, 086414.
[691] Selke, W. 1988. Phys. Rep., 170, 213.
[692] Selke, W. 1992. Spatially Modulated Structures in Systems with Competing Interactions. In: Domb, C., and Lebowitz, J. L. (eds), Phase Transitions and Critical Phenomena, Vol. 15. New York: Academic Press.
[693] Sen, D. 1991a. Phys. Rev. B, 5949, 43.
[694] Sen, D. 1991b. Phys. Rev. B, 43, 5939.
[695] Sen, D., and Chakrabarti, B. K. 1990. Phys. Rev. B, 2713, 41.
[696] Sen, D., and Vishveshwara, S. 2010. EPL, 91, 66009.
[697] Sen, D., Sengupta, K., and Mondal, S. 2008. Phys. Rev. Lett., 101, 016806.
[698] Sen, P., and Chakrabarti, B. K. 1988. Phys. Rev. B, 760, 40.
[699] Sen, P., and Chakrabarti, B. K. 1989. Phys. Rev. B, 13559, 43.
[700] Sengupta, K., and Sen, D. 2009. Phys. Rev. A, 80, 032304.
[701] Sengupta, K., Powell, S., and Sachdev, S. 2004. Phys. Rev. A, 69, 053616.
[702] Sengupta, K., Sen, D., and Mondal, S. 2008. Phys. Rev. Lett, 100, 077204.
[703] Senthil, T. 1998. Phys. Rev. B, 57, 8375.
[704] Senthil, T., and Majumdar, S. N. 1996. Phys. Rev. Lett., 76, 3001.
[705] Senthil, T., and Sachdev, S. 1996. Phys. Rev. Lett, 77, 5292.
[706] Shankar, R., and Murthy, G. 1987a. Phys. Rev. B, 35, 3671.
[707] Shankar, R., and Murthy, G. 1987b. Phys. Rev. B, 36, 536.
[708] Sharma, S., and Rajak, A. 2012. J. Stat. Mech., 08, P08005.
[709] Sharma, S., V., Mukherjee, and Dutta, A. 2012. Eur. Phys. J. B, 85, 143.
[710] Sharma, S., Russomanno, A., Sanotoro, G. E., and Dutta, A. 2014. EPL, 106, 67003.
[711] Sherrington, D., and Kirkpatrick, S. 1975. Phys. Rev. Lett., 35, 1792.
[712] Shevchenko, S. N., Ashhab, S., and Nori, F. 2010. Phys. Rep., 492, 1.
[713] Shin, S. W., Smith, G., Smolin, John A., and Vazirani, U. 2014. arxiv:1401. 7087.
[714] Shirahata, T., and Nakamura, T. 2001. Phys. Rev. B, 65, 024402.
[715] Shirley, J. H. 1965. Phys. Rev., 138, B979.
[716] Shor, P. W. 2005. Algorithms for Quantum Computation: Discrete Logarithms and Factoring. In: 35th Annual Symposium on Foundation of Computer Science. Los Alami-tos, CA (1994): IEEE Computer Society Press.
[717] Silevitch, D., Aeppli, G., and Rosenbaum, T. F. 2010. PNAS, 107, 2797.
[718] Silevitch, D. M., Bitko, D., Brooke, J., Ghosh, S., Aeppli, G., and Rosenbaum, T. F.2007. Nature, 448, 567.
[719] Silva, A. 2008. Phys. Rev. Lett., 101, 120603.
[720] Simoni, A., Ferlaino, F., Roati, G., Modugno, G., and Inguscio, M. 2003. Phys. Rev.Lett., 90, 163202.
[721] Sknepnek, R., Vojta, T., and Vojta, M. 2004. Phys. Rev. Lett., 93, 097201.
[722] Smacchia, P., and Silva, A. 2013. Phys. Rev. E, 88, 042109.
[723] Smelyanskiy, V. N., Rieffel, E. G., Knysh, S. I., Williams, C. P., Johnson, M. W., Thom, Murray C., Macready, W. G., and Pudenz, K. L. 2012. arxiv:1204. 2821v2.
[724] Sokoloff, J. B. 1985. Phys. Reports, 126, 189.
[725] Sondhi, S. L., Girvin, S. M., Carini, J. P., and Shahar, D. 1997. Rev. Mod. Phys., 69, 315.
[726] Srednicki, M. 1993. Phys. Rev. Lett., 71, 666.
[727] Stanley, H. E. 1987. Introduction to Phase Transitions and Critical Phenomena. Oxford: Oxford University Press.
[728] Stauffer, D., and Aharony, A. 1992. Introduction to Percolation Theory. New York: Taylor and Francis.
[729] Steffen, M., van Dam, W., Hogg, T., G, Breyta, and Chuang, I. 2003. Phys. Rev. Lett., 90, 067903.
[730] Stephan, J.-M., and Dubail, J. 2011. J. Stat. Mech., P08019.
[731] Stinchcombe, R. B. 1963. J. Phys. C, 4, 124.
[732] Stinchcombe, R. B. 1981. J. Phys. C, 14, 2193.
[733] Stinchcombe, R. B. 1983. Dilute Magnetism. In: Domb, C., and Lebowitz, J. L. (eds), Phase Transitions and Critical Phenomena, Vol. 7. New York: Academic Press.
[734] Stinchcombe, R. B., Moore, E. D., and de Queiroz, S. L. A. 1996. Eur. Phys. Lett., 35, 295.
[735] Stueckelberg, E. C. G. 1932. Helv. Phys. Acta, 5, 369.
[736] Subrahmanyam, V. 2003. Phys. Rev. B, 68, 212407.
[737] Subrahmanyam, V. 2004. Phys. Rev. A, 69, 034304.
[738] Subrahmanyam, V. 2011. Quant. Inf. Comput., 11, 1.
[739] Sun, K., Yao, H., Fradkin, E., and Kivelson, S. A. 2009. Phys. Rev. Lett., 103, 046811.
[740] Suzuki, M. 1971. Prog. Theor. Phys., 46, 1337.
[741] Suzuki, M. 1976. Prog. Theor. Phys., 56, 1454.
[742] Suzuki, M. (ed). 1986. Quantum Monte Carlo Methods,. Heidelberg: Springer.
[743] Suzuki, S., and Okada, M. 2005. In: Das, A., and Chakrabarti, B. K. (eds), Quantum Annealing and Related Optimization Methods. Heidelberg: Springer.
[744] Suzuki, S., Inoue, J., and Chakrabarti, B. K. 2013. Quantum Ising phases and transitions in transverse Ising models: Lecture Notes in Physics 862. Heidelberg: Springer.
[745] Syljuasen, O. F. 2003. Phys. Rev. A, 68, 060301(R).
[746] Tabei, S. M. A., Gingras, M. J. P., Kao, Y.-J., Stasiak, P., and Fortin, J.-Y. 2006. Phys. Rev. Lett., 97, 237203.
[747] Tabei, S. M. A., Gingras, M. J. P., Kao, Y.-J., and Yavorskii, T. 2008a. Phys. Rev. B, 78, 184408.
[748] Tabei, S. M. A., Vernay, F., and Gingras, M. J. P. 2008b. Phys. Rev. B, 77, 014432.
[749] Tagliacozzo, L., de Oliveira, T. R., Iblisdir, S., and Latorre, J. I. 2008. Phys. Rev. B, 78, 024410.
[750] Talagrand, M. 1980. J. Phys. A: Math. Gen., 13, 1101.
[751] Tanaka, K. 2002. J. Phys. A: Math. Gen., 35, R81.
[752] Tanaka, K., and Horiguchi, T. 1997. IEICE, J80-A-12, 2217.
[753] Tarruell, L., Grief, D., Uehlinger, T., Jotzu, G., and Esslinger, T. 2012. Nature, 483, 302.
[754] Thakurathi, M., Sen, D., and Dutta, A. 2012a. Phys. Rev. B, 86, 245424.
[755] Thakurathi, M., DeGottardi, W., Sen, D., and Vishveshwara, S. 2012b. Phys. Rev. B, 85, 165425.
[756] Thakurathi, M., Patel, A. A., Sen, D., and Dutta, A. 2013. Phys. Rev. B, 88, 155133.
[757] Thakurathi, M., Sengupta, K., and Sen, D. 2014. Phys. Rev. B, 89, 235434.
[758] Thill, M. J., and Huse, D. 1995. Physica A, 214, 321.
[759] Thirumalai, D., Li, Q., and Kirkpatrick, T. R. 1989. J. Phys. A, 22, 3339.
[760] Thouless, D. J., Kohmoto, M., Nightingale, M. P., and den Nijs, M. 1982. Phys. Rev.Lett., 49, 405.
[761] Titvinidze, I., and Japaridze, G. I. 2003. Eur. Phys. J. B, 383, 012101.
[762] Tomasello, B., Rossini, D., Hamma, A., and Amico, L. 2011. EPL, 96, 27002.
[763] Tomka, M., Polkovnikov, A., and Gritsev, V. 2012. Phys. Rev. Lett., 108, 080404.
[764] Tong, Q.-J., An, J.-H., Gong, J., Luo, H.-G., and Oh, C. H. 2013. Phys. Rev. B, 87, 201109(R).
[765] Tonks, L. 1936. Phys. Rev., 50, 955.
[766] Torrontegui, E., Ibáñez, S., nez Garaot, S. Marti, Modugno, M., del Campo, A., Guéry-Odelin, D., Ruschhaupt, A., Chen, Xi, and Muga, J. G. 2013. Adv. At. Mol. Opt. Phys., 62, 117.
[767] Tribedi, A., and Bose, I. 2009. Phys. Rev. A, 79, 012331.
[768] Tzeng, Y. C., Hung, H. H., Chen, Y-C., and Yang, M.-F. 2008. Phys. Rev. A, 77, 062321.
[769] Uhlmann, A. 1976. Rep. Math. Phys., 9, 273.
[770] Uhlmann, M., Schutzhold, R., and Fischer, U. R. 2007. Phys. Rev. Lett., 99, 120407.
[771] Uhlmann, M., Schutzhold, R., and Fischer, U. R. 2010a. Phys. Rev. D, 81, 025017.
[772] Uhlmann, M., Schutzhold, R., and Fischer, U. R. 2010b. New J. Phys., 12, 094020.
[773] Umin, G., and Rieger, H. 1996. Z. Phys. B, 101, 597.
[774] Usadel, K. D., and Schmitz, B. 1987. Solid State Commun, 64, 975.
[775] Vacanti, G., Pugnetti, S., Didier, N., Paternostro, M., Palma, G. M., Fazio, R., and Vedral, V. 2012a. Phys. Rev. Lett., 108, 093603.
[776] Vacanti, G., Fazio, R., Montangero, S., Palma, G. M., Paternostro, M., and Vedral, V. 2012b. Phys. Rev. A, 85, 022129.
[777] Vajk, O. P., and Greven, M. 2002. Phys. Rev. Lett., 89, 177202.
[778] Vajk, O. P., Mang, R K., Greven, M., Gehring, P. M., and Lynn, J. W. 2002. Science, 295, 1691.
[779] Vajna, S., and Dora, B. 2014. Phys. Rev. B, 89, 161105 (R).
[780] Vedral, V. 2003. Phys. Rev. Lett., 90, 050401.
[781] Venuti, L., Saleur, H., and Zanardi, P. 2009. Phys. Rev. B., 79, 092405.
[782] Venuti, L. C., and Zanardi, P. 2007. Phys. Rev. Lett., 99, 095701.
[783] Venuti, L. C., and Zanardi, P. 2010a. Phys. Rev. A, 81, 032113.
[784] Venuti, L. C., and Zanardi, P. 2010b. Phys. Rev. A, 81, 022113.
[785] Venuti, L. C., Giampaolo, S. M., Illuminati, F., and Zanardi, P. 2007. Phys. Rev. A, 76, 052328.
[786] Venuti, L. C., Cozzini, M., Buonsante, P., Massel, F., Bray-Ali, N., and Zanardi, P. 2008. Phys. Rev. B., 78, 115410.
[787] Venuti, L. C., Jacobson, N. T., Santra, S., and Zanardi, P. 2011. Phys. Rev. Lett, 107, 100403.
[788] Verstraete, F., Popp, M., and Cirac, J. I. 2004. Phys. Rev. Lett., 92, 027901.
[789] Vidal, G., and Werner, R. F. 2002. Phys. Rev. A, 65, 032314.
[790] Vidal, G., Latorre, J. I., Rico, E., and Kitaev, A. 2003. Phys. Rev. Lett., 90, 227902.
[791] Vidal, J., Mosseri, R., and Dukelsky, J. 2004a. Phys. Rev. A, 69, 054101.
[792] Vidal, J., Palacios, G., and Aslangul, J. 2004b. Phys. Rev. A, 70, 062304.
[793] Vidal, J., Mosseri, R., and Dukelsky, J. 2004c. Phys. Rev. A, 69, 69.
[794] Villain, J., and Bak, P. 1981. J. Physique (Paris), 42, 657.
[795] Vinci, W., Albash, T., Mishra, A., Warburton, P. A., and Lidar, D. A. 2013. arxiv:1403.4228.
[796] Vitanov, N. V. 1999. Phys. Rev. A, 59, 988.
[797] Vitanov, N. V., and Garraway, B. M. 1996. Phys. Rev. A, 53, 4288.
[798] V. Mukherjee, Sharma, S., and Dutta, A. 2012. Phys. Rev. B, 86, 020301 (R).
[799] Vojta, M. 2003. Rep. Prog. Phys., 66, 2069.
[800] Vojta, M., Bulla, R., and Tong, N. H. 2005. Phys. Rev. Lett., 94, 070604.
[801] Vojta, T. 1996. Phys. Rev. B, 53, 710.
[802] Vojta, T. 2006. J. Phys. A, 39, R143.
[803] Vojta, T., and Lee, M. Y. 2006. Phys. Rev. Lett., 96, 035701.
[804] Vojta, T., and Schamilian, J. 2005. Phys. Rev. Lett., 95, 237206.
[805] Vojta, T., and Schreiber, M. 1996. Phys. Rev. B, 53, 8211.
[806] Vojta, T., Belitz, D., Narayanan, R., and Kirkpatrick, T. R. 1997. Z. Phys. B, 103, 451.
[807] Volovik, G. E. 2003. The Universe in a Helium Droplet. Oxford: Oxford University Press.
[808] von Delft, J., and Schoeller, H. 1998. Ann. Phys. (Leipzig), 7, 225.
[809] Wada, M., Murakami, S., Freimuth, F., and Bihlmayer, G. 2011. Phys. Rev. B, 83, 121310(R).
[810] Wallin, M., Sorensen, E., Girvin, S. M., and Young, A. P. 1994. Phys. Rev. B, 49, 12115.
[811] Wang, X., Zotos, X., Karadamoglou, J., and Papanicolau, N. 2000. Phys. Rev. B, 61, 14303.
[812] Weinrib, A., and Halperin, B. I. 1983. Phys. Rev. B, 27, 413.
[813] Weiss, U. 1999. Quantum Dissipative Systems. Singapore: World Scientific.
[814] Wen-Guang, S., and Pei-Qing, T. 2009. Chin. Phys. B, 18, 4707.
[815] Werner, P., Volker, K., Troyer, M., and Chakravarty, S. 2005. Phys. Rev. Lett., 94, 047201.
[816] Werner, R. F. 1989. Phys. Rev. A, 40, 4277.
[817] White, S. R. 1993. Phys. Rev. B, 48, 10345.
[818] White, S. R., and Affleck, 1.1996. Phys. Rev. B, 54, 9862.
[819] Wichterich, H., and Bose, S. 2009. Phys. Rev. A, 79, 060302.
[820] Wichterich, H., Vidal, J., and Bose, S. 2010. Phys. Rev. A, 81, 032311.
[821] Wilson, K. G., and Kogut, J. B. 1974. Physics Reports, 12C, 75.
[822] Winter, A., Rieger, H., Vojta, M., and Bulla, R. 2009. Phys. Rev. Lett., 102, 030601.
[823] Wolf, M. M., Ortiz, G., Verstraete, F., and Cirac, J. Ignacio. 2006. Phys. Rev. Lett., 97, 110403.
[824] Wootters, W. K. 1998. Phys. Rev. Lett., 80, 2245.
[825] Wootters, W. K. 2001. Quantum Inf. Comput, 1, 27.
[826] Wootters, W. K. 2011. Phys. Rev. D, 23, 357.
[827] Wu, F. Y. 1982. Rev. Mod. Phys, 54, 235.
[828] Wu, L.-A., Sarandy, M. S., and Lidar, D. A. 2004. Phys. Rev. Lett., 93, 250404.
[829] Wu, T. T. 1966. Phy. Rev., 149, 380.
[830] Wu, W., Ellman, B., Rosenbaum, T. F., Aeppli, G., and Reich, D. H. 1991. Phys. Rev.Lett, 67, 2076.
[831] Wu, W., Bitko, D., Rosenbaum, T. F., and Aeppli, G. 1993. Phys. Rev. Lett., 74, 3045.
[832] Wubs, M., Saito, K., Kohler, S., Kayanuma, Y., and Hanggi, P. 2005. New J. Phys., 7, 218.
[833] Xu, Guangyong, Broholm, C., Soh, Yeong-Ah, Aeppli, G., DiTusa, J. F., Chen, Ying, Kenzelmann, M., Frost, C. D., Ito, T., Oka, K., and Takagi, H. 2007. Science, 317, 1049.
[834] Yakovenko, V. M. 1992. JETP Lett., 56, 510.
[835] Yang, C., and Lee, T. 1952. Phys. Rev., 87, 404.
[836] Yang, M. F. 2008. Phys. Rev. B, 76, 180403(R).
[837] Yang, S., Gu, S.-J., Sun, C.-P., and Lin, H.-Q. 2008. Phys. Rev. A., 78, 012304.
[838] Ye, J., Sachdev, S., and Read, N. 1993. Phys. Rev. Lett., 70, 4011.
[839] Yeomans, J. 1987. The Theory and Application of Axial Ising Model. In: Ehrenreich, H., and Turnbull, J. L. (eds), Solid State Physics, Vol. 41. New York: Academic Press.
[840] Yi, X. X., Wang, H., and Wang, W. 2007. Eur. Phys. J. D, 45(2), 355.
[841] You, W. L., Li, Y-W., and Gu, S-J. 2007. Phys. Rev. E, 76, 022101.
[842] Young, A. P. 1975. J. Phys. C, 8, L309.
[843] Young, A. P. 1997. Phys. Rev. B, 56, 11691.
[844] Young, A. P., and Katzgraber, H. J. 2004. Phys. Rev. Lett., 93, 207203.
[845] Young, A. P., and Rieger, H. 1996. Phys. Rev. B, 53, 8486.
[846] Young, A. P., and Stinchcombe, R. B. 1976. J. Phys. C, 9, 4419.
[847] Young, A. P., Knysh, S., and Smelyanskiy, V. N. 2010. Phys. Rev. Lett., 104, 020502.
[848] Youngblood, R. W., Aeppli, G., Axe, J. D., and Griffin, J. A. 1982. Phys. Rev. Lett., 49, 1724.
[849] Yuan, Z-G, Zhang, P., and Li, S-S. 2007. Phys. Rev. A, 75, 012102.
[850] Zamolodchikov, A. B. 1986. JETP Lett., 43, 730.
[851] Zamolodchikov, A. B. 1989. Int. J. Mod. Phys. A, 4, 4235.
[852] Zanardi, P., and Paunkovic, N. 2006. Phys. Rev. E, 74, 031123.
[853] Zanardi, P., Giorda, P., and Cozzini, M. 2007a. Phys. Rev. Lett., 99, 100603.
[854] Zanardi, P., Quan, H. T., Wang, X., and Sun, C. P. 2007b. Phys. Rev. A, 75, 032109.
[855] Zanardi, P., Venuti, L. C., and Giorda, P. 2007c. Phys. Rev. A, 76, 062318.
[856] Zener, C. 1932. Proc. Roy. Soc. London Ser A, 137, 696.
[857] Zhang, J., Cucchietti, F. M., Chandrashekar, C. M., Laforest, M., Ryan, C. A., Ditty, M., Hubbard, A., Gamble, J., and Laflamme, R. 2009. Phys. Rev. A, 79, 012305.
[858] Zhao, J.-H., and Zhou, H.-Q. 2009. Phys. Rev. B, 80, 014403.
[859] Zhou, B., Lu, H. Z., Chu, R. L., Shen, S. Q., and Niu, Q. 2008a. Phys. Rev. Lett., 101, 246807.
[860] Zhou, H.-Q. 2007. arXiv:0704. 2945.(unpublished).
[861] Zhou, H.-Q., and Barjaktarevic, J. P. 2008. J. Phys. A: Math. Theor., 41, 412001.
[862] Zhou, H.-Q., Orus, R., and Vidal, G. 2008b. Phys. Rev. Lett., 100, 080601.
[863] Zhu, S. L. 2006. Phys. Rev. Lett., 96, 077206.
[864] Zhu, S. L. 2008. Int. J. Mod. Phys. B, 22, 561.
[865] Zindaric, M., and Prosen, T. 2003. J. Phys. A: Math. Gen., 36, 2463.
[866] Zurek, W. H. 1985. Nature, 317, 505.
[867] Zurek, W. H. 1991. Phys. Today, 44, 36.
[868] Zurek, W. H. 1993. Acta. Physica Polonica. B, 24, 1301.
[869] Zurek, W. H. 1996. Phys. Rep., 276, 177.
[870] Zurek, W. H. 2003. Rev. Mod. Phys., 75, 715.
[871] Zurek, W. H., and Dorner, U. 2008. Phil. Trans. R. Soc. A, 366, 2953.
[872] Zurek, W. H., and Paz, J. P. 1994. Phys. Rev. Lett., 72, 2508.
[873] Zurek, W. H., Dorner, U, and Zoller, P. 2005. Phys. Rev. Lett., 95, 105701.
[874] Zvyagin, A. A., and Skorobagat'ko, G. A. 2006. Phys. Rev. B, 73, 024427.

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