4 April 2005 Reduced-density-matrix descriptions for linear and non-linear coherent electromagnetic interactions
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Abstract
A reduced-density-matrix description is developed for linear and non-linear electromagnetic interactions of quantized electronic systems in the presence of environmental decoherence and relaxation phenomena. Applications of interest include many-electron atomic systems (in electron-ion beam interactions, gases, and high-temperature plasmas) and semiconductor materials (bulk crystals and nanostructures). Time-domain (equation-of-motion) and frequency-domain (resolvent-operator) formulations are developed in a unified manner. The standard Born (lowest-order perturbation-theory) and Markov (short-memory-time) approximations are systematically introduced within the framework of the general non-perturbative and non-Markovian formulations. A preliminary semiclassical treatment of the electromagnetic interaction is introduced. Compact Liouville-space operator expressions are derived for the linear and the general (n’th order) non-linear electromagnetic-response tensors, allowing for coherent initial electronic excitations and for the full tetradic-matrix form of the Liouville-space self-energy operator representing the environmental interactions. It is emphasized that quantum-coherent many-body interactions cannot be adequately treated as environmentally induced phenomena.
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Verne L. Jacobs, Verne L. Jacobs, } "Reduced-density-matrix descriptions for linear and non-linear coherent electromagnetic interactions", Proc. SPIE 5735, Advanced Optical and Quantum Memories and Computing II, (4 April 2005); doi: 10.1117/12.601713; https://doi.org/10.1117/12.601713
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