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arXiv 0812.1332cond-mat.stat-mech
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囚禁相互作用玻色气体的临界性质

Critical properties of a trapped interacting Bose gas

A. Bezett, P. B. Blakie

摘要:

我们发展了一个实用的理论形式,用于研究一个被困的玻色-爱因斯坦凝聚体的临界性质使用投影Gross-Pitaevskii方程。我们表明,这种方法使我们能够调查的行为的相关长度,凝聚模式和它的数量波动的临界点。受最近实验的启发[Science { \bf 315},1556(2007)],我们计算了相关长度的临界指数,观察到清晰的有限尺寸效应,并开发了特征长度尺度来表征有限尺寸的影响。我们将Binder累积量推广到囚禁系统,并讨论了一种测量数涨落的实验方法。

英文摘要:

We develop a practical theoretical formalism for studying the critical properties of a trapped Bose-Einstein condensate using the projected Gross-Pitaevskii equation. We show that this approach allows us investigate the behavior of the correlation length, condensate mode and its number fluctuations about the critical point. Motivated by recent experiments [Science {\bf 315}, 1556 (2007)] we calculate the critical exponent for the correlation length, observe clear finite-size effects, and develop characteristic length scales to characterize the finite-size influences. We extend the Binder cumulant to the trapped system and discuss an experimental method for measuring number fluctuations.

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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