Quantum Phase Transitions in Transverse Field Spin Models From Statistical Physics to Quantum Information
Book contents
- Frontmatter
- Dedication
- Contents
- List of Figures and Tables
- Preface
- Acknowledgements
- I An Introduction to Quantum Phase Transitions, Information and Dynamics
- II Transverse Field Models: Statics
- III Transverse Field and Related Models: Non-Equilibrium Dynamics
- 10 Non-Equilibrium Dynamics Across Quantum Critical Points: Slow Quenching
- 11 Further Studies on Non-Equilibrium Dynamics
- 12 Quenching and Quantum Information
- 13 Some Recent Developments in Information and Dynamics
- IV Experimental Realizations of Transverse Field Models
- V Quantum Annealing and Adiabatic Quantum Computations Using Transverse Field Models
- Appendix A Derivation of a Matrix Product Hamiltonian
- Appendix B From Jordan–Wigner to Bosonization: Tomonaga–Luttinger Liquids
- Appendix C Calculation of the Entanglement Entropy for a Transverse Ising Chain
- Appendix D The Loschmidt Echo for the One-Dimensional XY Model
- Appendix E Landau–Zener Tunneling: Calculation of Non-Adiabatic Transition Probability
- Appendix F A Note on the Theoretical Studies of Hysteresis
- References
- Index
- Plate Section
13 - Some Recent Developments in Information and Dynamics
from III - Transverse Field and Related Models: Non-Equilibrium Dynamics
Published online by Cambridge University Press: 05 May 2015
Book contents
- Frontmatter
- Dedication
- Contents
- List of Figures and Tables
- Preface
- Acknowledgements
- I An Introduction to Quantum Phase Transitions, Information and Dynamics
- II Transverse Field Models: Statics
- III Transverse Field and Related Models: Non-Equilibrium Dynamics
- 10 Non-Equilibrium Dynamics Across Quantum Critical Points: Slow Quenching
- 11 Further Studies on Non-Equilibrium Dynamics
- 12 Quenching and Quantum Information
- 13 Some Recent Developments in Information and Dynamics
- IV Experimental Realizations of Transverse Field Models
- V Quantum Annealing and Adiabatic Quantum Computations Using Transverse Field Models
- Appendix A Derivation of a Matrix Product Hamiltonian
- Appendix B From Jordan–Wigner to Bosonization: Tomonaga–Luttinger Liquids
- Appendix C Calculation of the Entanglement Entropy for a Transverse Ising Chain
- Appendix D The Loschmidt Echo for the One-Dimensional XY Model
- Appendix E Landau–Zener Tunneling: Calculation of Non-Adiabatic Transition Probability
- Appendix F A Note on the Theoretical Studies of Hysteresis
- References
- Index
- Plate Section
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- Quantum Phase Transitions in Transverse Field Spin ModelsFrom Statistical Physics to Quantum Information, pp. 207 - 228Publisher: Cambridge University PressPrint publication year: 2015