Share Email Print

Proceedings Paper

Liouville-space descriptions for intense-field coherent electromagnetic interactions
Format Member Price Non-Member Price
PDF $14.40 $18.00
cover GOOD NEWS! Your organization subscribes to the SPIE Digital Library. You may be able to download this paper for free. Check Access

Paper Abstract

Liouville-space (reduced-density-operator) descriptions are developed for resonant and coherent electromagnetic interactions of quantized electronic systems, taking into account environmental decoherence and relaxation phenomena. Applications of interest include electromagnetically-induced transparency and related pump-probe optical phenomena in 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 perturbationtheory) and Markov (short-memory-time) approximations are systematically introduced within the framework of the general non-perturbative and non-Markovian formulations. A preliminary semiclassical description of the entire 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 occurring in a perturbation-theory treatment of the semiclassical electromagnetic interaction. 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. Intense-field electromagnetic interactions are treated by means of an alternative, non-perturbative method, which is based on a Liouville-space Floquet-Fourier representation of the reduced density operator. Electron-electron quantum correlations are treated by the introduction of a cluster decomposition of the reduced density operator and a coupled hierarchy of reduced-density-operator equations.

Paper Details

Date Published: 21 March 2006
PDF: 12 pages
Proc. SPIE 6130, Advanced Optical and Quantum Memories and Computing III, 61300C (21 March 2006); doi: 10.1117/12.660192
Show Author Affiliations
Verne Jacobs, Naval Research Lab. (United States)
Zachary Dutton, Naval Research Lab. (United States)
Mark Bashkansky, Naval Research Lab. (United States)
Michael Steiner, Naval Research Lab. (United States)
John Reintjes, Naval Research Lab. (United States)

Published in SPIE Proceedings Vol. 6130:
Advanced Optical and Quantum Memories and Computing III
Hans J. Coufal; Zameer U. Hasan; Alan E. Craig, Editor(s)

© SPIE. Terms of Use
Back to Top