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Hamiltonian chaos in a coupled BEC–optomechanical-cavity system

2009/09/29 by K. Zhang, W. Chen, M. Bhattacharya +2
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Bistability #Classical mechanics #Excitation #Hamiltonian (control theory) #Hamiltonian system #Mechanical and Optical Resonators #Nonlinear Dynamics and Pattern Formation #Nonlinear optics #Nonlinear system #Optical bistability #Optics #Optomechanics #Physics #Quantum electrodynamics #Quantum mechanics #Resonator #quant-ph

paper · pdf · doi:10.1103/physreva.81.013802

published as Phys. Rev. A 81, 013802 (2010) · 5 figures

arxiv created 2009/09/29 · openalex publication_date 2010/01/05 · arxiv updated 2011/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations