Hamiltonian chaos in a coupled BEC--optomechanical-cavity system

Hamiltonian chaos in a coupled BEC–optomechanical-cavity system

K. Zhang, W. Chen, M. Bhattacharya, and P. Meystre

Phys. Rev. A 81, 013802 – Published 5 January 2010

Abstract

We present a theoretical study of a hybrid optomechanical system consisting of a Bose-Einstein condensate (BEC) trapped inside a single-mode optical cavity with a moving end mirror. The intracavity light field has a dual role: it excites a momentum side mode of the condensate, and acts as a nonlinear spring that couples the vibrating mirror to that collective density excitation. We present the dynamics in a regime where the intracavity optical field, the mirror, and the side-mode excitation all display bistable behavior. In this regime we find that the dynamics of the system exhibits Hamiltonian chaos for appropriate initial conditions.

Received 29 September 2009

DOI:https://doi.org/10.1103/PhysRevA.81.013802

Authors & Affiliations

K. Zhang¹, W. Chen², M. Bhattacharya², and P. Meystre²

¹State Key Laboratory of Precision Spectroscopy, Department of Physics, East China Normal University, Shanghai 200062, People’s Republic of China
²B2 Institute, Department of Physics and College of Optical Sciences, The University of Arizona, Tucson, Arizona 85721, USA

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Vol. 81, Iss. 1 — January 2010

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