تقرير
Kibble-Zurek Mechanism and Beyond: Lessons from a Holographic Superfluid Disk
| العنوان: | Kibble-Zurek Mechanism and Beyond: Lessons from a Holographic Superfluid Disk |
|---|---|
| المؤلفون: | Xia, Chuan-Yin, Zeng, Hua-Bi, Grabarits, András, del Campo, Adolfo |
| سنة النشر: | 2024 |
| المجموعة: | Condensed Matter High Energy Physics - Theory Quantum Physics |
| مصطلحات موضوعية: | Condensed Matter - Statistical Mechanics, Condensed Matter - Quantum Gases, High Energy Physics - Theory, Quantum Physics |
| الوصف: | The superfluid phase transition dynamics and associated spontaneous vortex formation with the crossing of the critical temperature in a disk geometry is studied in the framework of the $AdS/CFT$ correspondence by solving the Einstein-Abelian-Higgs model in an $AdS_4$ black hole. For a slow quench, the vortex density admits a universal scaling law with the cooling rate as predicted by the Kibble-Zurek mechanism (KZM), while for fast quenches, the density shows a universal scaling behavior as a function of the final temperature, that lies beyond the KZM prediction. The vortex number distribution in both the power-law and saturation regimes can be approximated by a normal distribution. However, the study of the universal scaling of the cumulants reveals non-normal features and indicates that vortex statistics in the newborn superfluid is best described by the Poisson binomial distribution, previously predicted in the KZM regime [Phys. Rev. Lett. 124, 240602 (2020)]. This is confirmed by studying the cumulant scalings as a function of the quench time and the quench depth. Our work supports the existence of a universal defect number distribution that accommodates the KZM scaling, its breakdown at fast quenches, and the additional universal scaling laws as a function of the final value of the control parameter. Comment: 13 pages, 7 figures |
| نوع الوثيقة: | Working Paper |
| الوصول الحر: | http://arxiv.org/abs/2406.09433Test |
| رقم الانضمام: | edsarx.2406.09433 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |