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arXiv 0806.3806cond-mat.othernlin.CDquant-ph
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玻色-爱因斯坦凝聚体的混沌shock waves

Chaotic shock waves of a Bose-Einstein condensate

Wenhua Hai, Qianquan Zhu, Shiguang Rong

摘要:

研究了一维玻色-爱因斯坦凝聚体(BEC)在时间周期谐振势或反谐振势作用下的时间演化,发现了著名的Smale马蹄形混沌.构造了含时Gross-Pitaevskii方程的形式精确解,该方程描述了具有混沌或周期振幅和相位的物质激波。当周期驱动被关闭且凝聚原子数守恒时,我们得到了精确的定态和非定态。前者包含稳定的非传播激波,后者中的激波交替崩溃和增长的谐波捕获或传播指数增加的冲击波阵面速度的反捕获。揭示了混沌的存在对物质波爆炸的抑制作用。结果为制备指数加速BEC激波或稳定定态提供了一种方法。

英文摘要:

It is demonstrated that the well-known Smale-horseshoe chaos exists in the time evolution of the one-dimensional Bose-Einstein condensate (BEC) driven by the time-periodic harmonic or inverted-harmonic potential. A formally exact solution of the time-dependent Gross-Pitaevskii equation is constructed, which describes the matter shock waves with chaotic or periodic amplitudes and phases. When the periodic driving is switched off and the number of condensed atoms is conserved, we obtained the exact stationary states and non-stationary states. The former contains the stable non-propagated shock wave, and in the latter the shock wave alternately collapses and grows for the harmonic trapping or propagates with exponentially increased shock-front speed for the antitrapping. It is revealed that existence of chaos play a role for suppressing the blast of matter wave. The results suggest a method for preparing the exponentially accelerated BEC shock waves or the stable stationary states.

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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