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arXiv 1902.07025cond-mat.quant-gasquant-ph
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一维囚禁玻色气体中的反常频移

Anomalous frequency shifts in a one-dimensional trapped Bose gas

Manuel Valiente, Volodymyr Pastukhov

摘要:

我们考虑一维相互作用玻色子系统的两体共振。这个系统,这是弱相互作用,已知会产生有效的三粒子相互作用,其动力学类似于一个二维玻色气体与两体相互作用,并表现出相同的尺度异常。我们认为实验相关的情况下,谐波捕获系统。我们准确地解决了三体问题,并评估了最低压缩模式相对于偶极模式的频率的变化,发现异常的影响是增加模式的频率。我们还考虑了弱耦合制度的被困的多玻色子问题,并发现,在局部密度近似,最低压缩模式的频率也向上移动,在这个限制。此外,异常的频率偏移增强的粒子数的值,应该是实验上观察到的。

英文摘要:

We consider a system of interacting bosons in one dimension at a two-body resonance. This system, which is weakly interacting, is known to give rise to effective three-particle interactions, whose dynamics is similar to that of a two-dimensional Bose gas with two-body interactions, and exhibits an identical scale anomaly. We consider the experimentally relevant scenario of a harmonically trapped system. We solve the three-body problem exactly and evaluate the shifts in the frequency of the lowest compressional mode with respect to the dipole mode, and find that the effect of the anomaly is to increase the mode's frequency. We also consider the weak-coupling regime of the trapped many-boson problem and find, within the local density approximation, that the frequency of the lowest compressional mode is also shifted upwards in this limit. Moreover, the anomalous frequency shifts are enhanced by the higher particle number to values that should be observable experimentally.

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