Formation and critical dynamics of topological defects in Lifshitz holography
Abstract We examine the formation and critical dynamics of topological defects via Kibble-Zurek mechanism in a (2+1)-dimensional quantum critical point, which is conjectured to dual to a Lifshitz geometry. Quantized magnetic fluxoids are spontaneously generated and trapped in the cores of order para...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP04(2020)147 |
| _version_ | 1819116400623484928 |
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| author | Zhi-Hong Li Chuan-Yin Xia Hua-Bi Zeng Hai-Qing Zhang |
| author_facet | Zhi-Hong Li Chuan-Yin Xia Hua-Bi Zeng Hai-Qing Zhang |
| author_sort | Zhi-Hong Li |
| collection | DOAJ |
| description | Abstract We examine the formation and critical dynamics of topological defects via Kibble-Zurek mechanism in a (2+1)-dimensional quantum critical point, which is conjectured to dual to a Lifshitz geometry. Quantized magnetic fluxoids are spontaneously generated and trapped in the cores of order parameter vortices, which is a feature of type-II superconductors. Time evolution of the average condensate is found to lag behind the instantaneous equilibrium value of the order parameter, a typical phenomenon in non- equilibrium dynamics. Scalings of vortex number density and the “freeze-out” time match the predictions from Kibble-Zurek mechanism. From these scalings, the dynamic and static critical exponents in the boundary field theory are found, at least at finite temperature, to be irrespective of the Lifshitz exponent in the bulk. |
| first_indexed | 2024-12-22T05:16:29Z |
| format | Article |
| id | doaj.art-301fc315d7ab4dae9f01453a45550bdd |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-22T05:16:29Z |
| publishDate | 2020-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-301fc315d7ab4dae9f01453a45550bdd2022-12-21T18:37:51ZengSpringerOpenJournal of High Energy Physics1029-84792020-04-012020411210.1007/JHEP04(2020)147Formation and critical dynamics of topological defects in Lifshitz holographyZhi-Hong Li0Chuan-Yin Xia1Hua-Bi Zeng2Hai-Qing Zhang3Center for Gravitational Physics, Department of Space Science, Beihang UniversityDepartment of Electronic Science and Applied Physics, School of Science, Kunming University of Science and TechnologyCenter for Gravitation and Cosmology, School of Physics Science and Technology, Yangzhou UniversityCenter for Gravitational Physics, Department of Space Science, Beihang UniversityAbstract We examine the formation and critical dynamics of topological defects via Kibble-Zurek mechanism in a (2+1)-dimensional quantum critical point, which is conjectured to dual to a Lifshitz geometry. Quantized magnetic fluxoids are spontaneously generated and trapped in the cores of order parameter vortices, which is a feature of type-II superconductors. Time evolution of the average condensate is found to lag behind the instantaneous equilibrium value of the order parameter, a typical phenomenon in non- equilibrium dynamics. Scalings of vortex number density and the “freeze-out” time match the predictions from Kibble-Zurek mechanism. From these scalings, the dynamic and static critical exponents in the boundary field theory are found, at least at finite temperature, to be irrespective of the Lifshitz exponent in the bulk.http://link.springer.com/article/10.1007/JHEP04(2020)147AdS-CFT CorrespondenceGauge-gravity correspondenceHolography and condensed matter physics (AdS/CMT) |
| spellingShingle | Zhi-Hong Li Chuan-Yin Xia Hua-Bi Zeng Hai-Qing Zhang Formation and critical dynamics of topological defects in Lifshitz holography Journal of High Energy Physics AdS-CFT Correspondence Gauge-gravity correspondence Holography and condensed matter physics (AdS/CMT) |
| title | Formation and critical dynamics of topological defects in Lifshitz holography |
| title_full | Formation and critical dynamics of topological defects in Lifshitz holography |
| title_fullStr | Formation and critical dynamics of topological defects in Lifshitz holography |
| title_full_unstemmed | Formation and critical dynamics of topological defects in Lifshitz holography |
| title_short | Formation and critical dynamics of topological defects in Lifshitz holography |
| title_sort | formation and critical dynamics of topological defects in lifshitz holography |
| topic | AdS-CFT Correspondence Gauge-gravity correspondence Holography and condensed matter physics (AdS/CMT) |
| url | http://link.springer.com/article/10.1007/JHEP04(2020)147 |
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