Dynamical chaos in several models of quantum optics

Alexander V. Gorokhov; E. V. Rogacheva; A. V. Shiryaev

doi:10.1117/12.287687

26 September 1997 Dynamical chaos in several models of quantum optics

Alexander V. Gorokhov, E. V. Rogacheva, A. V. Shiryaev

Proceedings Volume 3239, Photon Echo and Coherent Spectroscopy; (1997) https://doi.org/10.1117/12.287687
Event: PECS '97: Photon Echo and Coherent Spectroscopy, 1997, Yoshkar-Ola, Russian Federation

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.

Citation Download Citation

Alexander V. Gorokhov, E. V. Rogacheva, and A. V. Shiryaev "Dynamical chaos in several models of quantum optics", Proc. SPIE 3239, Photon Echo and Coherent Spectroscopy, (26 September 1997); https://doi.org/10.1117/12.287687

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