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arXiv quant-ph/0612213quant-ph
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耦合玻色-爱因斯坦凝聚体的几何相位和赝自旋动力学控制

Control of the geometric phase and pseudo-spin dynamics on coupled Bose-Einstein condensates

E. I. Duzzioni, L. Sanz, S. S. Mizrahi, M. H. Y. Moussa

摘要:

本文用双模方法描述了两个耦合的玻色-爱因斯坦凝聚体在含时(TD)陷阱势和TD拉比(或隧穿)频率下的行为。从Bloch态出发,成功地得到了TD Schroedinger方程的解析解,并详细分析了由凝聚体的波函数得到的相对相位和几何相位,以及凝聚体的布居不平衡。我们还建立了一个连接的几何相位和运动常数的动态系统的特点。除了分析时间性对超精细自由度不同的凝聚体的影响(内部约瑟夫森效应)之外,我们还简要讨论了双阱势中的单组分凝聚体(外部约瑟夫森效应)。

英文摘要:

We describe the behavior of two coupled Bose-Einstein condensates in time-dependent (TD) trap potentials and TD Rabi (or tunneling) frequency, using the two-mode approach. Starting from Bloch states, we succeed to get analytical solutions for the TD Schroedinger equation and present a detailed analysis of the relative and geometric phases acquired by the wave function of the condensates, as well as their population imbalance. We also establish a connection between the geometric phases and constants of motion which characterize the dynamic of the system. Besides analyzing the affects of temporality on condensates that differs by hyperfine degrees of freedom (internal Josephson effect), we also do present a brief discussion of a one specie condensate in a double-well potential (external Josephson effect).

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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