Nonlinear dynamics of a cigar-shaped Bose-Einstein condensate coupled with a single cavity mode

Details Nonlinear dynamics of a cigar-shaped Bose-Einstein condensate coupled with a single cavity mode Nonlinear dynamics of a cigar-shaped Bose-Einstein condensate coupled with a single cavity mode

2008-11-26

arxiv.org/abs/0811.4337v1

Phys.Rev.A, 79, 033401 (2009) Some typos are corrected in the published version.

Physics

Quantum Physics

8 pages, 5 figures

Scientific paper

10.1103/PhysRevA.79.033401

We investigate the nonlinear dynamics of a combined system which is composed of a cigar-shaped Bose-Einstein condensate and an optical cavity. The two sides couple dispersively. This system is characterized by its nonlinearity: after integrating out the freedom of the cavity mode, the potential felt by the condensate depends on the condensate itself. We develop a discrete-mode approximation for the condensate. Based on this approximation, we map out the steady configurations of the system. It is found that due to the nonlinearity of the system, the nonlinear levels of the system can fold up in some parameter regimes. That will lead to the breakdown of adiabaticity. Analysis of the dynamical stability of the steady states indicates that the same level structure also results in optical bistability.

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