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arXiv 0908.2026cond-mat.quant-gas
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相互作用的囚禁玻色子产生低维的碎片凝聚态

Interacting trapped bosons yield fragmented condensate states in low dimensions

Uwe R. Fischer, Philipp Bader

摘要:

研究了具有排斥接触相互作用的低维[准一维(准一维)或准二维(准二维)]玻色气体的单粒子密度矩阵中的能级布居统计和相干度.使用变分分析,我们推导出破碎的凝聚体在弱限制方向成两个(准1D)分别为三个(准2D)相互不相干的宏观件,当增加一个无量纲的相互作用措施超过临界值。因此,低维系统中的碎裂凝聚多体态在达到无限扩展的热力学极限之前就已经出现了,在无限扩展的热力学极限中,物质波场的相位波动会产生无限数量的非宏观碎片。

英文摘要:

We investigate the level population statistics and degree of coherence encoded in the single-particle density matrix of harmonically trapped low-dimensional [quasi-one-dimensional (quasi-1D) or quasi-two-dimensional (quasi-2D)] Bose gases with repulsive contact interactions. Using a variational analysis, we derive fragmentation of the condensate in the weakly confining directions into two (quasi-1D) respectively three (quasi-2D) mutually incoherent macroscopic pieces, upon increasing a dimensionless interaction measure beyond a critical value. Fragmented condensate many-body states in low-dimensional systems therefore occur well before the thermodynamic limit of infinite extension is reached, in which phase fluctuations of the matter wave field create an infinite number of nonmacroscopic fragments.

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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