Mixed-state entanglement for AdS Born-Infeld theory
Abstract We study the mixed-state entanglement for AdS Born-Infeld (BI) theory. We calculate the mixed-state entanglement and investigate the relationship between it and the system parameters. We find that the holographic entanglement entropy (HEE) and mutual information (MI) exhibit monotonically i...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2023-09-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2023)105 |
| _version_ | 1827394665897263104 |
|---|---|
| author | Peng Liu Zhe Yang Chao Niu Cheng-Yong Zhang Jian-Pin Wu |
| author_facet | Peng Liu Zhe Yang Chao Niu Cheng-Yong Zhang Jian-Pin Wu |
| author_sort | Peng Liu |
| collection | DOAJ |
| description | Abstract We study the mixed-state entanglement for AdS Born-Infeld (BI) theory. We calculate the mixed-state entanglement and investigate the relationship between it and the system parameters. We find that the holographic entanglement entropy (HEE) and mutual information (MI) exhibit monotonically increasing and decreasing behavior with BI factor b. However, the entanglement wedge cross-section (EWCS) exhibits a very rich set of phenomena about system parameters. EWCS always increases with b when b is small and then monotonically decreases with b. These behaviors suggest that increasing the BI factor, which is essentially enhancing the coupling between the background geometry and the transport properties can always enhance the EWCS. The coupling between the entanglement and the transport behaviors has also been studied in condensed matter theories and is important to construct a stable quantum circuit. We also provide analytical understanding of the above phenomenon. Furthermore, we have tested two additional BI-like models and find the universality of these results, suggesting the crucial role of the BI term in governing the interplay between nonlinear electromagnetic effects and entanglement. |
| first_indexed | 2024-03-08T18:16:15Z |
| format | Article |
| id | doaj.art-103474cefa3447b3aeb88bff1cd694fb |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-08T18:16:15Z |
| publishDate | 2023-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-103474cefa3447b3aeb88bff1cd694fb2023-12-31T12:06:46ZengSpringerOpenJournal of High Energy Physics1029-84792023-09-012023912510.1007/JHEP09(2023)105Mixed-state entanglement for AdS Born-Infeld theoryPeng Liu0Zhe Yang1Chao Niu2Cheng-Yong Zhang3Jian-Pin Wu4Department of Physics and Siyuan Laboratory, Jinan UniversityDepartment of Physics and Siyuan Laboratory, Jinan UniversityDepartment of Physics and Siyuan Laboratory, Jinan UniversityDepartment of Physics and Siyuan Laboratory, Jinan UniversityCenter for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou UniversityAbstract We study the mixed-state entanglement for AdS Born-Infeld (BI) theory. We calculate the mixed-state entanglement and investigate the relationship between it and the system parameters. We find that the holographic entanglement entropy (HEE) and mutual information (MI) exhibit monotonically increasing and decreasing behavior with BI factor b. However, the entanglement wedge cross-section (EWCS) exhibits a very rich set of phenomena about system parameters. EWCS always increases with b when b is small and then monotonically decreases with b. These behaviors suggest that increasing the BI factor, which is essentially enhancing the coupling between the background geometry and the transport properties can always enhance the EWCS. The coupling between the entanglement and the transport behaviors has also been studied in condensed matter theories and is important to construct a stable quantum circuit. We also provide analytical understanding of the above phenomenon. Furthermore, we have tested two additional BI-like models and find the universality of these results, suggesting the crucial role of the BI term in governing the interplay between nonlinear electromagnetic effects and entanglement.https://doi.org/10.1007/JHEP09(2023)105Holography and Condensed Matter Physics (AdS/CMT)Black HolesAdS-CFT Correspondence |
| spellingShingle | Peng Liu Zhe Yang Chao Niu Cheng-Yong Zhang Jian-Pin Wu Mixed-state entanglement for AdS Born-Infeld theory Journal of High Energy Physics Holography and Condensed Matter Physics (AdS/CMT) Black Holes AdS-CFT Correspondence |
| title | Mixed-state entanglement for AdS Born-Infeld theory |
| title_full | Mixed-state entanglement for AdS Born-Infeld theory |
| title_fullStr | Mixed-state entanglement for AdS Born-Infeld theory |
| title_full_unstemmed | Mixed-state entanglement for AdS Born-Infeld theory |
| title_short | Mixed-state entanglement for AdS Born-Infeld theory |
| title_sort | mixed state entanglement for ads born infeld theory |
| topic | Holography and Condensed Matter Physics (AdS/CMT) Black Holes AdS-CFT Correspondence |
| url | https://doi.org/10.1007/JHEP09(2023)105 |
| work_keys_str_mv | AT pengliu mixedstateentanglementforadsborninfeldtheory AT zheyang mixedstateentanglementforadsborninfeldtheory AT chaoniu mixedstateentanglementforadsborninfeldtheory AT chengyongzhang mixedstateentanglementforadsborninfeldtheory AT jianpinwu mixedstateentanglementforadsborninfeldtheory |