Holographic topological defects in a ring: role of diverse boundary conditions
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-05-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP05(2022)056 |
| _version_ | 1811253256868855808 |
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| author | Zhi-Hong Li Han-Qing Shi Hai-Qing Zhang |
| author_facet | Zhi-Hong Li Han-Qing Shi Hai-Qing Zhang |
| author_sort | Zhi-Hong Li |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-12T16:48:14Z |
| format | Article |
| id | doaj.art-8b6ae0674f11488381b185f968959aef |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-12T16:48:14Z |
| publishDate | 2022-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-8b6ae0674f11488381b185f968959aef2022-12-22T03:24:31ZengSpringerOpenJournal of High Energy Physics1029-84792022-05-012022511610.1007/JHEP05(2022)056Holographic topological defects in a ring: role of diverse boundary conditionsZhi-Hong Li0Han-Qing Shi1Hai-Qing Zhang2Center for Gravitational Physics, Department of Space Science, Beihang UniversityCenter for Gravitational Physics, Department of Space Science, Beihang UniversityCenter for Gravitational Physics, Department of Space Science, Beihang UniversityAbstract 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.https://doi.org/10.1007/JHEP05(2022)056AdS-CFT CorrespondenceGauge-Gravity CorrespondenceHolography and Condensed Matter Physics (AdS/CMT) |
| spellingShingle | Zhi-Hong Li Han-Qing Shi Hai-Qing Zhang Holographic topological defects in a ring: role of diverse boundary conditions Journal of High Energy Physics AdS-CFT Correspondence Gauge-Gravity Correspondence Holography and Condensed Matter Physics (AdS/CMT) |
| title | Holographic topological defects in a ring: role of diverse boundary conditions |
| title_full | Holographic topological defects in a ring: role of diverse boundary conditions |
| title_fullStr | Holographic topological defects in a ring: role of diverse boundary conditions |
| title_full_unstemmed | Holographic topological defects in a ring: role of diverse boundary conditions |
| title_short | Holographic topological defects in a ring: role of diverse boundary conditions |
| title_sort | holographic topological defects in a ring role of diverse boundary conditions |
| topic | AdS-CFT Correspondence Gauge-Gravity Correspondence Holography and Condensed Matter Physics (AdS/CMT) |
| url | https://doi.org/10.1007/JHEP05(2022)056 |
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