Holographic entanglement entropy and complexity for D-wave superconductors
Abstract Using the RT formula and the subregion CV conjecture, we numerically investigate the holographic entanglement entropy (HEE) and holographic subregion complexity (HSC) for two holographic d-wave superconducting models with backreactions. We find that the HEE and HSC can probe these two d-wav...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-03-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-11327-y |
| _version_ | 1797836266687954944 |
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| author | Yuanceng Xu Yu Shi Dong Wang Qiyuan Pan |
| author_facet | Yuanceng Xu Yu Shi Dong Wang Qiyuan Pan |
| author_sort | Yuanceng Xu |
| collection | DOAJ |
| description | Abstract Using the RT formula and the subregion CV conjecture, we numerically investigate the holographic entanglement entropy (HEE) and holographic subregion complexity (HSC) for two holographic d-wave superconducting models with backreactions. We find that the HEE and HSC can probe these two d-wave superconducting phase transitions. The HEE of the superconducting phase is always lower than that of the normal phase. For the HSC, however, it behaves differently and interestingly, which depends on both the strip-width $$L_{x}$$ L x and backreaction $$\kappa $$ κ . More specifically, when the backreaction is larger than a particular critical value, or the strip-width of the boundary subsystem is smaller than a particular critical value, the HSC in the superconducting phase is larger than that in the normal phase, and vice versa. |
| first_indexed | 2024-04-09T15:07:09Z |
| format | Article |
| id | doaj.art-2c58545df4704162b0a992328625cab8 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-09T15:07:09Z |
| publishDate | 2023-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-2c58545df4704162b0a992328625cab82023-04-30T11:25:58ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-03-0183311110.1140/epjc/s10052-023-11327-yHolographic entanglement entropy and complexity for D-wave superconductorsYuanceng Xu0Yu Shi1Dong Wang2Qiyuan Pan3Institute of Astrophysics, Central China Normal UniversitySchool of Physics, Electronics and Intelligent Manufacturing, Huaihua UniversityKey Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, Synergetic Innovation Center for Quantum Effects and Applications, and Department of Physics, Hunan Normal UniversityKey Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, Synergetic Innovation Center for Quantum Effects and Applications, and Department of Physics, Hunan Normal UniversityAbstract Using the RT formula and the subregion CV conjecture, we numerically investigate the holographic entanglement entropy (HEE) and holographic subregion complexity (HSC) for two holographic d-wave superconducting models with backreactions. We find that the HEE and HSC can probe these two d-wave superconducting phase transitions. The HEE of the superconducting phase is always lower than that of the normal phase. For the HSC, however, it behaves differently and interestingly, which depends on both the strip-width $$L_{x}$$ L x and backreaction $$\kappa $$ κ . More specifically, when the backreaction is larger than a particular critical value, or the strip-width of the boundary subsystem is smaller than a particular critical value, the HSC in the superconducting phase is larger than that in the normal phase, and vice versa.https://doi.org/10.1140/epjc/s10052-023-11327-y |
| spellingShingle | Yuanceng Xu Yu Shi Dong Wang Qiyuan Pan Holographic entanglement entropy and complexity for D-wave superconductors European Physical Journal C: Particles and Fields |
| title | Holographic entanglement entropy and complexity for D-wave superconductors |
| title_full | Holographic entanglement entropy and complexity for D-wave superconductors |
| title_fullStr | Holographic entanglement entropy and complexity for D-wave superconductors |
| title_full_unstemmed | Holographic entanglement entropy and complexity for D-wave superconductors |
| title_short | Holographic entanglement entropy and complexity for D-wave superconductors |
| title_sort | holographic entanglement entropy and complexity for d wave superconductors |
| url | https://doi.org/10.1140/epjc/s10052-023-11327-y |
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