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Low-lying bifurcations in cavity quantum electrodynamics

Armen, M. A. and Mabuchi, H. (2006) Low-lying bifurcations in cavity quantum electrodynamics. Physical Review A, 73 (6). Art. No. 063801. ISSN 1050-2947. doi:10.1103/PhysRevA.73.063801.

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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 Schrödinger 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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Additional Information:©2006 The American Physical Society (Received 19 February 2006; published 1 June 2006) The authors thank R. van Handel for insightful discussions. This work was supported by the NSF under Grant No. PHY-0354964.
Subject Keywords:quantum electrodynamics; bifurcation; nonlinear dynamical systems; Schrodinger equation; quantum optics; stochastic processes; master equation; fluctuations
Issue or Number:6
Record Number:CaltechAUTHORS:ARMpra06
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3593
Deposited By: Archive Administrator
Deposited On:18 Jun 2006
Last Modified:08 Nov 2021 20:10

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