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Kink-like solitons in quantum droplet
Journal of Physics B: Atomic, Molecular and Optical Physics ( IF 1.6 ) Pub Date : 2021-09-03 , DOI: 10.1088/1361-6455/ac1692
Aradhya Shukla , Neeraj , Prasanta K Panigrahi

Solitonic excitations of the one-dimensional quantum droplets are obtained, which smoothly connect vacuum with the flat-top droplet, akin to compactons in classical liquids. These solitons are of the kink type, necessarily residing on a constant pedestal, determined by the mean-field (MF) repulsion and beyond mean field quantum correction and having exactly one-third of the uniform condensate amplitude. Akin to the kinks, the propagating modes occur in pairs and are phase-locked with the background. The lowest chemical potential and condensate amplitude at the flat-top boundary matches with the self-trapped quantum droplet. More general excitations of analogous kind are obtained through the Mbius transform, which connect the required solutions to elliptic functions in general.



中文翻译:

量子液滴中的扭结状孤子

获得一维量子液滴的孤子激发,将真空与平顶液滴平滑连接,类似于经典液体中的压实子。这些孤子是扭结型的,必须驻留在一个恒定的基座上,由平均场 (MF) 排斥和平均场量子校正之外决定,并且恰好具有均匀凝聚振幅的三分之一。类似于扭结,传播模式成对出现并与背景锁相。平顶边界处的最低化学势和凝聚幅度与自陷量子液滴相匹配。通过 Mbius 变换获得更一般的类比激励,该变换将所需的解与一般的椭圆函数联系起来。

更新日期:2021-09-03
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