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Proceedings Paper

Dynamical chaos in several models of quantum optics
Author(s): Alexander V. Gorokhov; E. V. Rogacheva; A. V. Shiryaev
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Paper Abstract

The coherent state representations of the group G equals W1 (direct product) G0 [where G0 equals SU(2) or SU(1,1)] are used in computer simulations of the dynamic of single two- level atom [G0 equals SU(2)] interacting with a quantized photon cavity mode [Jaynes-Cummings Model (JCM) without the rotating wave approximation] and, in general, nonlinear in photon variables. The second case [hyperbolic Jaynes - Cummings Model (HJCM), G0 equals SU(1,1)] corresponds to the quantum dynamics of quadratic nonlinear coupled oscillators (the parametric resonance on double field frequency and a three-wave parametric processes of nonlinear optics). Quasiclassical dynamical equations for parameters of approximately factorizable coherent states for these models are derived and regimes of motion for 'atom' and field variables are analyzed.

Paper Details

Date Published: 26 September 1997
PDF: 7 pages
Proc. SPIE 3239, Photon Echo and Coherent Spectroscopy, (26 September 1997); doi: 10.1117/12.287687
Show Author Affiliations
Alexander V. Gorokhov, Samara State Univ. and Nayanova Regional Univ. (Russia)
E. V. Rogacheva, Samara State Univ. (Russia)
A. V. Shiryaev, Samara State Univ. (Russia)


Published in SPIE Proceedings Vol. 3239:
Photon Echo and Coherent Spectroscopy
Vitaly V. Samartsev, Editor(s)

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