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arXiv:1212.4263 · Chinese Physics B

Nonlinear dissipative dynamics of a two-component atomic condensate coupling with a continuum

Hong-Hua Zhong, Qiong-Tao Xie, Jun Xu, Wen-Hua Hai, Chao-Hong Li

Published Feb 1, 2014• 2 citations
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Abstract

We investigate the nonlinear dissipative coherence bifurcation and population dynamics of a two-component atomic Bose—Einstein condensate coupling with a continuum. The coupling between the two-component condensates and the continuum brings effective dissipations to the two-component condensates. The steady states and the coherence bifurcation depend on both dissipation and the nonlinear interaction between condensed atoms. The coherence among condensed atoms may be even enhanced by the effective dissipations. The combination of dissipation and nonlinearity allows one to control the switching between different self-trapped states or the switching between a self-trapped state and a non-self-trapped state.

DOI
10.1088/1674-1056/23/2/020314

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We investigate the nonlinear dissipative coherence bifurcation and population dynamics of a two-component atomic Bose—Einstein condensate coupling with a continuum. The coupling between the two-component condensates and the continuum brings effective dissipations to the two-component condensates. The steady states and the coherence bifurcation depend on both dissipation and the nonlinear interaction between condensed atoms. The coherence among condensed atoms may be even enhanced by the effective dissipations. The combination of dissipation and nonlinearity allows one to control the switching between different self-trapped states or the switching between a self-trapped state and a non-self-trapped state.
We investigate the many-body coherence and population dynamics of a two-component atomic Bose-Einstein condensate coupled with a continuum. We reveal that the combination of dissipation and nonlinearity may induce different steady states and modify the bifurcation of coherence. The steady states depend on the relative dissipation strengths. The coherence may be even enhanced by the dissipation effects. The combination of dissipation and nonlinearity allows one to control the switching between different self-trapped states or the switching between a self-trapped state and a non-self-trapped state. This opens an alternative route for manipulating coherence and population transition in an open many-body system via dissipation and nonlinearity.
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The atomic population oscillations between two Bose–Einstein condensates with time-dependent nonlinear interaction in a double-well potential are studied. We first analyse the stabilities of the system's steady-state solutions. And then in the perturbative regime, the Melnikov chaotic oscillation of atomic population imbalance is investigated and the Melnikov chaotic criterion is obtained. When the system is out of the perturbative regime, numerical calculations reveal that regulating the nonlinear parameter can lead the system to step into chaos via period doubling bifurcations. It is also numerically found that adjusting the nonlinear parameter and asymmetric trap potential can result in the running-phase macroscopic quantum self-trapping (MQST). In the presence of a weak asymmetric trap potential, there exists the parametric resonance in the system.
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