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Computation of Optical Properties for Quantized Electronic Systems

  • V. L. Jacobs (a1)

Abstract

A density-matrix description has been developed to treat relaxation (decoherence) phenomena during resonant and non-resonant radiative transitions of quantized electronic systems, including many-electron atoms and quantum-confinement systems (e. g., semiconductor microstructures). Radiative and collisional relaxation phenomena have been treated using Liouville-space proj ecti on-operator techniques. Both time-independent (resolvent-operator) and time-dependent (equation-of-motion) formulations have been developed. The self-energy operators that occur in these formulations can provide the fundamental basis for a self-consistent determination of the non-equilibrium and coherent electronic-state kinetics together with the homogeneous spectral-line shapes. This density-matrix description can be adapted for the computer simulation of electromagnetic processes. From first-principles electronic-structure calculations or from semi-empirical approaches, the parameters describing the elementary collisional and radiative interactions can be evaluated and organized into the basic data set for the application of the density-matrix description. The final product is a theoretical prediction for the linear or non-linear optical absorption or emission spectrum corresponding to a given set of values for the appropriate physical variables, such as temperatures, densities, and electric or magnetic field strengths.

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References

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1. Jacobs, V. L., Cooper, J., and Haan, S. L., Phys. Rev. A 50, 3005 (1994).
2. Woltz, L. A., Jacobs, V. L., Hooper, C. F., and Mancini, R. C., Phys. Rev. A 44, 1281 (1991).
3. Jacobs, V. L., J. Quant. Spectrosc. Radiat. Transfer 54, 195 (1995).
4. Decaux, V., Beiersdorfer, P., Kahn, S. M., and Jacobs, V. L., Astrophys. J. 482, 1076 (1997).
5. Jacobs, V. L., Doschek, G. A., Seely, J. F., and Cowan, R. D., Phys. Rev. A 39, 2411 (1989).
6. Sdenz, A. W., Nagl, A., and Überall, H., Phys. Rev. B 37, 7238 (1988).
7. Haug, H. and Koch, S. W., Quantum Theory of the Optical and Electronic Properties of Semiconductors, Second Edition, (World Scientific, Singapore, 1993).

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