中国物理B ›› 2006, Vol. 15 ›› Issue (6): 1161-1171.doi: 10.1088/1009-1963/15/6/007

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Entanglement dynamics in two-component Bose--Einstein condensates

郝亚江, 梁九卿   

  1. Department of Physics and Institute of Theoretical Physics, Shanxi University, Taiyuan 030006, China
  • 收稿日期:2005-10-24 修回日期:2006-04-03 出版日期:2006-06-20 发布日期:2006-06-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10475053).

Entanglement dynamics in two-component Bose--Einstein condensates

Hao Ya-Jiang (郝亚江), Liang Jiu-Qing (梁九卿)   

  1. Department of Physics and Institute of Theoretical Physics, Shanxi University, Taiyuan 030006, China
  • Received:2005-10-24 Revised:2006-04-03 Online:2006-06-20 Published:2006-06-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10475053).

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摘要： Based on the exact solution of the time-dependent Schr\"{o}dinger equation for two-species Bose--Einstein condensates (BECs) consisting of two hyperfine states of the atoms coupled by a tuned adiabatic and time-varying Raman coupling, we obtain analytically the entanglement dynamics of the system with various initial states, particularly the SU(2) coherent state, for both of cases with and without the nonlinear interactions. It is shown that the effect of nonlinear interaction on the entanglement appears only in a longer time period depending on the BEC parameters.

关键词: entanglement dynamics, gauge transformation, spin coherent state

Abstract: Based on the exact solution of the time-dependent Schr?dinger equation for two-species Bose--Einstein condensates (BECs) consisting of two hyperfine states of the atoms coupled by a tuned adiabatic and time-varying Raman coupling, we obtain analytically the entanglement dynamics of the system with various initial states, particularly the SU(2) coherent state, for both of cases with and without the nonlinear interactions. It is shown that the effect of nonlinear interaction on the entanglement appears only in a longer time period depending on the BEC parameters.

Key words: entanglement dynamics, gauge transformation, spin coherent state

中图分类号:  (Entanglement and quantum nonlocality)

  • 03.65.Ud
03.65.Ge (Solutions of wave equations: bound states) 03.75.Lm (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations) 03.75.Mn (Multicomponent condensates; spinor condensates) 05.30.Jp (Boson systems)