dorsal/arxiv
View SchemaLow-lying bifurcations in cavity quantum electrodynamics
| Authors | Michael A. Armen, Hideo Mabuchi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0602170 |
| URL | https://arxiv.org/abs/quant-ph/0602170 |
| DOI | 10.1103/PhysRevA.73.063801 |
Abstract
The interplay of quantum fluctuations with nonlinear dynamics is a central topic in the study of open quantum systems, connected to fundamental issues (such as decoherence and the quantum-classical transition) and practical applications (such as coherent information processing and the development of mesoscopic sensors/amplifiers). With this context in mind, we here present a computational study of some elementary bifurcations that occur in a driven and damped cavity quantum electrodynamics (cavity QED) model at low intracavity photon number. In particular, we utilize the single-atom cavity QED Master Equation and associated Stochastic Schrodinger Equations to characterize the equilibrium distribution and dynamical behavior of the quantized intracavity optical field in parameter regimes near points in the semiclassical (mean-field, Maxwell-Bloch) bifurcation set. Our numerical results show that the semiclassical limit sets are qualitatively preserved in the quantum stationary states, although quantum fluctuations apparently induce phase diffusion within periodic orbits and stochastic transitions between attractors. We restrict our attention to an experimentally realistic parameter regime.
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"abstract": "The interplay of quantum fluctuations with nonlinear dynamics is a central\ntopic in the study of open quantum systems, connected to fundamental issues\n(such as decoherence and the quantum-classical transition) and practical\napplications (such as coherent information processing and the development of\nmesoscopic sensors/amplifiers). With this context in mind, we here present a\ncomputational study of some elementary bifurcations that occur in a driven and\ndamped cavity quantum electrodynamics (cavity QED) model at low intracavity\nphoton number. In particular, we utilize the single-atom cavity QED Master\nEquation and associated Stochastic Schrodinger Equations to characterize the\nequilibrium distribution and dynamical behavior of the quantized intracavity\noptical field in parameter regimes near points in the semiclassical\n(mean-field, Maxwell-Bloch) bifurcation set. Our numerical results show that\nthe semiclassical limit sets are qualitatively preserved in the quantum\nstationary states, although quantum fluctuations apparently induce phase\ndiffusion within periodic orbits and stochastic transitions between attractors.\nWe restrict our attention to an experimentally realistic parameter regime.",
"arxiv_id": "quant-ph/0602170",
"authors": [
"Michael A. Armen",
"Hideo Mabuchi"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.73.063801",
"title": "Low-lying bifurcations in cavity quantum electrodynamics",
"url": "https://arxiv.org/abs/quant-ph/0602170"
},
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