1997/02/06 by Alexander V. Gorokhov, Elena V. Rogacheva, Gorokhov, Alexander V. +5
Computer Science · Engineering · Physics and Astronomy · #FOS: Physical sciences #Photonic and Optical Devices #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum optics and atomic interactions #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/9702016
15 pages, 15 Postscript Figures
arxiv created 1997/02/06 · openalex publication_date 1997/02/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The coherent state representations of the group G = W1 ⊗ G0 (where G0 = SU(2), SU(1,1)) are used in computer simulation of the dynamics of single two-level atom (G0 = SU(2)) interacting with a quantized photon cavity mode - the 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 = 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.