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Proceedings Paper

Non-linear interactions in electromagnetically induced transparency and related pump-probe optical phenomena
Author(s): Verne L. Jacobs
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Paper Abstract

Reduced density matrix descriptions are developed for linear and non-linear interactions in electromagnetically induced transparency and related pump-probe optical phenomena involving moving atomic systems. Applied magnetic fields as well as atomic collisions, together with other environmental decoherence and relaxation processes, are taken into account. 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 adopted. However, the need for a fully quantum mechanical approach is emphasized. Compact Liouville-space operator expressions are derived for the linear and the general (n'th order) non-linear macroscopic electromagnetic-response tensors within the framework of a perturbation-theory treatment of the semiclassical electromagnetic interaction. 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.

Paper Details

Date Published: 2 February 2009
PDF: 12 pages
Proc. SPIE 7226, Advances in Slow and Fast Light II, 722608 (2 February 2009); doi: 10.1117/12.816320
Show Author Affiliations
Verne L. Jacobs, Naval Research Lab. (United States)

Published in SPIE Proceedings Vol. 7226:
Advances in Slow and Fast Light II
Selim M. Shahriar; Philip R. Hemmer; John R. Lowell, Editor(s)

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