中国物理B ›› 2008, Vol. 17 ›› Issue (9): 3270-3275.doi: 10.1088/1674-1056/17/9/021

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Hyperchaos of two coupled Bose--Einstein condensates with a three-body interaction

王志霞1, 张喜和2, 沈柯2   

  1. (1)Aviation University of Air Force, Changchun 130022, China;Department of Physics, Changchun University of Science and Technology, Changchun 130022, China; (2)Department of Physics, Changchun University of Science and Technology, Changchun 130022, China
  • 收稿日期:2008-01-02 修回日期:2008-03-20 出版日期:2008-09-08 发布日期:2008-09-08

Hyperchaos of two coupled Bose--Einstein condensates with a three-body interaction

Wang Zhi-Xia(王志霞)a)b)†, Zhang Xi-He(张喜和)b), and Shen Ke(沈柯)b)   

  1. a Aviation University of Air Force, Changchun 130022, China; b Department of Physics, Changchun University of Science and Technology, Changchun 130022, China
  • Received:2008-01-02 Revised:2008-03-20 Online:2008-09-08 Published:2008-09-08

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摘要： We investigate the dynamics of two tunnel-coupled Bose--Einstein condensates (BECs) in a double-well potential. The effects of the three-body recombination loss and the feeding of the condensates from the thermal cloud are studied in the case of attractive interatomic interaction. An imaginary three-body interaction term is considered and a two-mode approximation is used to derive three coupled equations which describe the total atomic numbers of the two condensates, the relative population and relative phase respectively. Theoretical analyses and numerical calculations demonstrate the existence of chaotic and hyperchaotic behaviour by using a periodically time-varying scattering length.

关键词: Bose--Einstein condensate, hyperchaos, two-mode approximation, Lyapunov exponent

Abstract: We investigate the dynamics of two tunnel-coupled Bose--Einstein condensates (BECs) in a double-well potential. The effects of the three-body recombination loss and the feeding of the condensates from the thermal cloud are studied in the case of attractive interatomic interaction. An imaginary three-body interaction term is considered and a two-mode approximation is used to derive three coupled equations which describe the total atomic numbers of the two condensates, the relative population and relative phase respectively. Theoretical analyses and numerical calculations demonstrate the existence of chaotic and hyperchaotic behaviour by using a periodically time-varying scattering length.

Key words: Bose--Einstein condensate, hyperchaos, two-mode approximation, Lyapunov exponent

中图分类号:  (Quantum chaos; semiclassical methods)

  • 05.45.Mt
03.75.Gg (Entanglement and decoherence in Bose-Einstein condensates) 37.10.De (Atom cooling methods)