Influence of non-linear interactions on electromagnetic-field propagation in quantized many-electron systems

Verne L. Jacobs

doi:10.1117/12.880808

17 February 2011 Influence of non-linear interactions on electromagnetic-field propagation in quantized many-electron systems

Verne L. Jacobs

Author Affiliations +

Proceedings Volume 7949, Advances in Slow and Fast Light IV; 79491D (2011) https://doi.org/10.1117/12.880808
Event: SPIE OPTO, 2011, San Francisco, California, United States

Abstract

Non-linear interactions involving pump-probe optical phenomena, such as electromagnetically induced transparency, in quantized many-electron systems are investigated using a reduced-density-matrix approach. Time-domain (equation-of-motion) and frequency-domain (resolvent-operator) formulations are developed in a unified manner and self-consistent 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 perturbation-theory treatment of the electromagnetic interaction is adopted. However, it is emphasized that a quantized-electromagnetic-field approach is essential for a self-consistent quantum-mechanical formulation. Our primary result is the derivation of compact Liouville-space operator expressions for the linear and the general (n'th order) non-linear macroscopic electromagnetic-response tensors for moving many-electron system. These expressions can be evaluated for coherent initial electronic excitations and for the full tetradic-matrix form of the Liouville-space self-energy operator representing the environmental interactions in the Markov approximation. Environmental interactions can be treated in various approximations for the self-energy operator, and the influence of Zeeman coherences on electromagnetic-field propagation can be investigated by including an applied magnetic field on an equal footing with the electromagnetic fields.

Citation Download Citation

Verne L. Jacobs "Influence of non-linear interactions on electromagnetic-field propagation in quantized many-electron systems", Proc. SPIE 7949, Advances in Slow and Fast Light IV, 79491D (17 February 2011); https://doi.org/10.1117/12.880808

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