Low-lying bifurcations in cavity quantum electrodynamics
- Physical Measurement and Control 266-33, California Institute of Technology, Pasadena, California 91125 (United States)
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 and 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 Schroedinger 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.
- OSTI ID:
- 20787566
- Journal Information:
- Physical Review. A, Vol. 73, Issue 6; Other Information: DOI: 10.1103/PhysRevA.73.063801; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
AMPLIFIERS
ATOMS
ATTRACTORS
BIFURCATION
CAVITY RESONATORS
DATA PROCESSING
DIFFUSION
DISTRIBUTION
FLUCTUATIONS
MEAN-FIELD THEORY
NONLINEAR PROBLEMS
OPTICS
ORBITS
PERIODICITY
PHOTONS
QUANTUM ELECTRODYNAMICS
SCHROEDINGER EQUATION
SEMICLASSICAL APPROXIMATION
STOCHASTIC PROCESSES