摘要翻译：
在回顾了理想玻色-爱因斯坦气体在盒子和谐波陷阱中的情况后，我讨论了相互作用对玻色-爱因斯坦凝聚体(BEC)形成的影响，以及小振幅微扰的动力学（Bogoliubov方程）。当凝结物以ω-角速度旋转时，一个或几个涡旋成核，产生许多可观察到的后果。随着旋转速度的加快，涡旋形成密集的三角形阵列，这些涡旋的集体行为具有额外的实验意义。对于径向陷阱频率ω_perp附近的ω，最低朗道能级近似变得适用，提供了这种快速旋转凝结体的简单图像。最终，当欧米茄接近欧米茄Perp时，旋转的稀气体将经历一个从超流体到各种高关联（非超流体）状态的量子相变，类似于电子在强垂直磁场中的分数量子霍尔效应。
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英文标题：
《Rotating trapped Bose-Einstein condensates》
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作者：
Alexander L. Fetter
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最新提交年份：
2008
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
  After reviewing the ideal Bose-Einstein gas in a box and in a harmonic trap, I discuss the effect of interactions on the formation of a Bose-Einstein condensate (BEC), along with the dynamics of small-amplitude perturbations (the Bogoliubov equations). When the condensate rotates with angular velocity Omega, one or several vortices nucleate, with many observable consequences. With more rapid rotation, the vortices form a dense triangular array, and the collective behavior of these vortices has additional experimental implications. For Omega near the radial trap frequency omega_perp, the lowest-Landau-level approximation becomes applicable, providing a simple picture of such rapidly rotating condensates. Eventually, as Omega approaches omega_perp, the rotating dilute gas is expected to undergo a quantum phase transition from a superfluid to various highly correlated (nonsuperfluid) states analogous to those familiar from the fractional quantum Hall effect for electrons in a strong perpendicular magnetic field.
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PDF链接：
https://arxiv.org/pdf/801.2952