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arXiv 0810.4199cond-mat.other
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光晶格中玻色-爱因斯坦凝聚体脉动不稳定性的经典和量子动力学

Classical and quantum dynamics of pulsating instability in a Bose-Einstein condensate in an optical lattice

Uttam Shrestha

摘要:

在弱相互作用的限制下,研究了一维光晶格中玻色-爱因斯坦凝聚体(BEC)的动力学行为。数值上,我们发现,BEC可能会发展一个脉动的不稳定性,其中原子几乎周期性地收集到一个脉冲,随后分散到初始的均匀状态。通过与双阱系统的类比,给出了准周期行为的定性解释。在一个扩展中,我们引入了近似在截断维格纳近似(TWA)内的量子效应。在纯经典平均场论中,凝聚体表现出无阻尼的脉动不稳定性,而当我们对许多随机实现求平均时,我们观察到振荡中的阻尼。

英文摘要:

We study the dynamics of a Bose-Einstein condensate (BEC) in a one dimensional optical lattice in the limit of weak atom-atom interactions. Numerically we find that a BEC may develop a pulsating instability in which atoms nearly periodically collect themselves into a pulse and subsequently disperse back into the initial homogeneous state. A qualitative explanation of the quasi-periodic behavior is given by drawing an analogy with a double-well system. In an extension we introduce quantum effects approximately within Truncated Wigner Approximation (TWA). In pure classical mean field theory the condensate shows an undamped pulsating instability, whereas we have observed a damping in the oscillation when we average over many stochastic realizations.

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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