Non-linear interactions in electromagnetically induced transparency and related pump-probe optical phenomena in moving atomic systems

Verne L. Jacobs

doi:10.1117/12.848648

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11 February 2010 Non-linear interactions in electromagnetically induced transparency and related pump-probe optical phenomena in moving atomic systems

Verne L. Jacobs

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Proceedings Volume 7612, Advances in Slow and Fast Light III; 76120K (2010) https://doi.org/10.1117/12.848648
Event: SPIE OPTO, 2010, San Francisco, California, United States

Abstract

Linear and non-linear interactions in electromagnetically induced transparency and related pump-probe optical phenomena involving moving many-electron atomic 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. 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. These expressions can be evaluated for coherent initial atomic excitations and for the full tetradic-matrix form of the Liouville-space self-energy operator representing the environmental interactions in the Markov approximation. Collisional interactions between atoms can be treated in various approximations for the self-energy operator, and the influence of Zeeman coherences on the electromagnetic-pulse propagation can be investigated by including an applied magnetic field on an equal footing with the electromagnetic fields.

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Verne L. Jacobs "Non-linear interactions in electromagnetically induced transparency and related pump-probe optical phenomena in moving atomic systems", Proc. SPIE 7612, Advances in Slow and Fast Light III, 76120K (11 February 2010); https://doi.org/10.1117/12.848648

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