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- Title
Holographic topological defects in a ring: role of diverse boundary conditions.
- Authors
Li, Zhi-Hong; Shi, Han-Qing; Zhang, Hai-Qing
- Abstract
We investigate the formation of topological defects in the course of a dynamical phase transition with different boundary conditions in a ring from AdS/CFT correspondence. According to the Kibble-Zurek mechanism, quenching the system across the critical point to symmetry-breaking phase will result in topological defects — winding numbers — in a compact ring. By setting two different boundary conditions, i.e., Dirichlet and Neumann boundary conditions for the spatial component of the gauge fields in the AdS boundary, we achieve the holographic superfluid and holographic superconductor models, respectively. In the final equilibrium state, different configurations of the order parameter phases for these two models indicate a persistent superflow in the holographic superfluid, however, the holographic superconductor lacks this superflow due to the existence of local gauge fields. The two-point correlation functions of the order parameter also behave differently. In particular, for holographic superfluid the correlation function is a cosine function depending on the winding number. The correlation function for the holographic superconductor, however, decays rapidly at short distances and vanishes at long distance, due to the random localities of the gauge fields. These results are consistent with our theoretical analysis.
- Subjects
NEUMANN boundary conditions; PHASE transitions; STATISTICAL correlation; CONDENSED matter physics; SUPERCONDUCTORS
- Publication
Journal of High Energy Physics, 2022, Vol 2022, Issue 5, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP05(2022)056