中国物理B ›› 2007, Vol. 16 ›› Issue (3): 650-659.doi: 10.1088/1009-1963/16/3/016

• GENERAL • 上一篇    下一篇

Atomic population oscillations between two coupled Bose--Einstein condensates with time-dependent nonlinear interaction

李飞, 舒维星, 罗海陆, 任中洲   

  1. Department of Physics, Nanjing University, Nanjing 210093, China
  • 收稿日期:2006-06-02 修回日期:2006-09-20 出版日期:2007-03-20 发布日期:2007-03-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos~10125521 and 10535010) and the Key Development Program for State Basic Research of China (Grant No~G2000077400).

Atomic population oscillations between two coupled Bose--Einstein condensates with time-dependent nonlinear interaction

Li Fei(李飞)†, Shu Wei-Xing(舒维星), Luo Hai-Lu(罗海陆), and Ren Zhong-Zhou(任中洲)   

  1. Department of Physics, Nanjing University, Nanjing 210093, China
  • Received:2006-06-02 Revised:2006-09-20 Online:2007-03-20 Published:2007-03-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos~10125521 and 10535010) and the Key Development Program for State Basic Research of China (Grant No~G2000077400).

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摘要： 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.

Abstract: 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.

Key words: Bose--Einstein condensates, Melnikov chaotic criterion, period doubling, macroscopic quantum self-trapping

中图分类号:  (Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)

  • 03.75.Kk
05.45.-a (Nonlinear dynamics and chaos)