dorsal/arxiv
View SchemaRegular and Chaotic Coherent State Dynamics of Several Quantum Optical Models
| Authors | Alexander V. Gorokhov, Elena V. Rogacheva, Alexander V. Shiryaev |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9702016 |
| URL | https://arxiv.org/abs/quant-ph/9702016 |
Abstract
The coherent state representations of the group $G = W_1 \otimes G_0$ (where $G_0 = SU(2), SU(1,1)$) are used in computer simulation of the dynamics of single two-level atom $(G_0 = SU(2))$ 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), $G_0 = SU(1,1))$ 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.
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"abstract": "The coherent state representations of the group $G = W_1 \\otimes G_0$ (where\n$G_0 = SU(2), SU(1,1)$) are used in computer simulation of the dynamics of\nsingle two-level atom $(G_0 = SU(2))$ interacting with a quantized photon\ncavity mode - the Jaynes - Cummings model (JCM) without the rotating wave\napproximation and, in general, nonlinear in photon variables). The second case\n(hyperbolic Jaynes - Cummings model (HJCM), $G_0 = SU(1,1))$ corresponds to the\nquantum dynamics of quadratic nonlinear coupled oscillators (the parametric\nresonance on double field frequency and a three - wave parametric processes of\nnonlinear optics). Quasiclassical dynamical equations for parameters of\napproximately factorizable coherent states for these models are derived and\nregimes of motion for \"atom\" and field variables are analyzed.",
"arxiv_id": "quant-ph/9702016",
"authors": [
"Alexander V. Gorokhov",
"Elena V. Rogacheva",
"Alexander V. Shiryaev"
],
"categories": [
"quant-ph"
],
"title": "Regular and Chaotic Coherent State Dynamics of Several Quantum Optical Models",
"url": "https://arxiv.org/abs/quant-ph/9702016"
},
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"execution_id": "470c5f28-c1d2-4336-befc-a30a777a2598",
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