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arXiv 1906.04020cond-mat.quant-gas
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涡环诱导的玻色-爱因斯坦凝聚体的集体振荡

Collective oscillations of a Bose-Einstein condensate induced by a vortex ring

Wen-Kai Bai, Jian-chong Xing, Tao Yang, Wen-Li Yang, Wu-Ming Liu

摘要:

研究了涡环激发下三维玻色-爱因斯坦凝聚体的集体振荡。我们确定独立的,集成的,和固定的模式的质量中心振荡的冷凝物相对于涡环运动。结果表明,凝聚体质心的振荡幅度强烈地依赖于涡旋环的初始半径、原子间相互作用和阱的纵横比,而振荡频率是固定的,等于谐振阱在涡旋环运动方向上的频率.然而,当在涡环上施加Kelvin波扰动时,BEC的质心振荡随扰动模式、长尺度扰动强度以及扰动波数的变化而发生显著变化。Kelvin扰动波数的宇称对凝聚体的质心振荡模式有重要影响。

英文摘要:

We study the collective oscillations of three-dimensional Bose-Einstein condensates (BECs) excited by a vortex ring. We identify independent, integrated, and stationary modes of the center-of-mass oscillation of the condensate with respect to the vortex ring movement. We show that the oscillation amplitude {of the center-of-mass of the condensate} depends strongly on the initial radius of the vortex ring, the inter-atomic interaction, and the aspect ration of the trap, while the oscillation frequency is fixed and equal to the frequency of the harmonic trap in the direction of the ring movement. However, when applying Kelvin wave perturbations on the vortex ring, the center-of-mass oscillation of the BEC is changed nontrivially with respect to the perturbation modes, the long-scale perturbation strength as well as the wave number of the perturbations. The parity of the wave number of the Kelvin perturbations plays important role on the mode of the center-of-mass oscillation of the condensate.

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