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arXiv 2008.13039cond-mat.quant-gasquant-ph
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弱相互作用囚禁凝聚体中的位置和动量空间两体关联

Position- and momentum-space two-body correlations in a weakly interacting trapped condensate

Salvatore Butera, David Clément, Iacopo Carusotto

摘要:

本文研究了低温下弱相互作用、简谐囚禁原子玻色-爱因斯坦凝聚气体中的位置-动量空间两体关联。Bogoliubov近似内的两体相关性计算和被困气体的特殊性突出显示在空间均匀的情况下。在位置空间中,我们恢复了由排斥原子间相互作用引起的反聚束,在凝聚部分位于陷阱中心附近,并在外部热云中的聚束。在动量空间中,聚束签名出现为相等或相反的动量值,并显示作为动量和温度的函数的特殊功能。在类比的光学Hanbury布朗和Twiss效应,在附近的动量聚束信号的振幅是固定的混沌性质的物质场状态和它的线宽被证明是由(逆)有限的空间尺寸的相关的陷阱动量分量。相反,相反动量的聚束信号的线宽仅由凝聚体的大小决定。

英文摘要:

We investigate the position- and momentum-space two--body correlations in a weakly interacting, harmonically trapped atomic Bose-Einstein condensed gas at low temperatures. The two-body correlations are computed within the Bogoliubov approximation and the peculiarities of the trapped gas are highlighted in contrast to the spatially homogeneous case. In the position space, we recover the anti-bunching induced by the repulsive inter-atomic interaction in the condensed fraction localized around the trap center and the bunching in the outer thermal cloud. In the momentum space, bunching signatures appear for either equal or opposite values of the momentum and display peculiar features as a function of the momentum and the temperature. In analogy to the optical Hanbury Brown and Twiss effect, the amplitude of the bunching signal at close-by momenta is fixed by the chaotic nature of the matter field state and its linewidth is shown to be set by the (inverse of the) finite spatial size of the associated in-trap momentum components. In contrast, the linewidth of the bunching signal at opposite-momenta is only determined by the condensate size.

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