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Novel vortices and the role of a complex chemical potential in a rotating holographic superfluid
Physical Review D ( IF 5 ) Pub Date : 2021-12-02 , DOI: 10.1103/physrevd.104.126004
Ankur Srivastav , Sunandan Gangopadhyay

In this work, we have analytically devised novel vortex solutions in a rotating holographic superfluid. To achieve this result, we have considered a static disk at the anti–de Sitter (AdS) boundary and let the superfluid rotate relative to it. This idea has been numerically exploited in Chuan-Yin Xia et al., [Phys. Rev. D 100, 061901(R) (2019)], where the formation of vortices in such a setting was reported. We have found that these vortex solutions are eigenfunctions of angular momentum. We have also shown that vortices with higher winding numbers are associated with higher quantized rotation of the superfluid. We have, then, analyzed the equation of motion along the bulk AdS direction using the Stürm-Liouville eigenvalue approach. A surprising outcome of our study is that the chemical potential must be purely imaginary. We have then observed that the winding number of the vortices decreases with the increase in the imaginary chemical potential. We conclude from this that an imaginary chemical potential leads to less dissipation in such holographic superfluids.

中文翻译:

新型涡流和复杂化学势在旋转全息超流体中的作用

在这项工作中,我们在旋转全息超流体中分析设计了新颖的涡流解决方案。为了实现这一结果,我们考虑了反德西特(anti-de Sitter)处的静态盘(一种d) 边界并让超流体相对于它旋转。这个想法在 Chuan-Yin Xia等人中得到了数值利用, [物理。修订版 D 100, 061901(R) (2019)],其中报道了在这种环境中形成涡流。我们发现这些涡旋解是角动量的本征函数。我们还表明,具有更高绕组数的涡旋与超流体的更高量化旋转相关。然后,我们使用 Stürm-Liouville 特征值方法分析了沿体 AdS 方向的运动方程。我们研究的一个令人惊讶的结果是化学势必须是纯虚的。然后我们观察到涡旋的缠绕数随着虚化学势的增加而减少。我们由此得出结论,假想的化学势会导致这种全息超流体中的耗散较少。
更新日期:2021-12-02
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