Numerical study of holographic entanglement entropy and subregion complexity for a p-wave superconductor in massive gravity
We invastigate numerically the holographic entanglement entropy (HEE) and holographic subregion complexity (HSC) for a p-wave superconductor with backreaction in the framework of dRGT massive gravity. We calculate the HEE and HSC as functions of subregion strip-width or temperature by following the...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-09-01
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| Series: | Nuclear Physics B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321325002883 |
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| author | Yiliang Hu Yabo Wu Junwang Lu Cheng-Yuan Zhang Jianan Chi Wenzhong Liu |
| author_facet | Yiliang Hu Yabo Wu Junwang Lu Cheng-Yuan Zhang Jianan Chi Wenzhong Liu |
| author_sort | Yiliang Hu |
| collection | DOAJ |
| description | We invastigate numerically the holographic entanglement entropy (HEE) and holographic subregion complexity (HSC) for a p-wave superconductor with backreaction in the framework of dRGT massive gravity. We calculate the HEE and HSC as functions of subregion strip-width or temperature by following the RT formula and CV conjecture. It is shown that both the HEE and HSC exhibit a discontinuity in their slope at the critical temperature, hence the two physical quantities can be able to probe the p-wave superconducting phase transition. Both the HEE and HSC increase linearly at the large strip-widths, which is consistent with the “area law” of entanglement entropy and the definition of complexity in quantum information. We notice that the HEE in the superconducting phase is always lower than that in the normal phase. In contrast, the behavior of HSC shows a distinct and intriguing dependence on the strip-width. Through comparing the values of HEE and HSC for different massive coupling constants or backreaction, we find that increasing backreaction or introducing massive gravity term results in a notable increase in both HEE and HSC. |
| format | Article |
| id | doaj-art-33cbd12c41f241aa8be0b05a9be47b5e |
| institution | Kabale University |
| issn | 0550-3213 |
| language | English |
| publishDate | 2025-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj-art-33cbd12c41f241aa8be0b05a9be47b5e2025-08-20T05:04:23ZengElsevierNuclear Physics B0550-32132025-09-01101811707910.1016/j.nuclphysb.2025.117079Numerical study of holographic entanglement entropy and subregion complexity for a p-wave superconductor in massive gravityYiliang Hu0Yabo Wu1Junwang Lu2Cheng-Yuan Zhang3Jianan Chi4Wenzhong Liu5Department of Physics, Liaoning Normal University, Dalian 116029, PR China; Department of Physics, Anshan Normal University, Anshan, 114007, PR ChinaDepartment of Physics, Liaoning Normal University, Dalian 116029, PR China; Corresponding author.School of Physics and Electronics, Qiannan Normal University for Nationalities, Duyun 558000, PR ChinaDepartment of Physics, Liaoning University, Shenyang, 110036, PR ChinaDepartment of Physics, Liaoning Normal University, Dalian 116029, PR ChinaDepartment of Physics, Liaoning Normal University, Dalian 116029, PR China; Department of Physics, Shenyang University, Shenyang 110044, PR ChinaWe invastigate numerically the holographic entanglement entropy (HEE) and holographic subregion complexity (HSC) for a p-wave superconductor with backreaction in the framework of dRGT massive gravity. We calculate the HEE and HSC as functions of subregion strip-width or temperature by following the RT formula and CV conjecture. It is shown that both the HEE and HSC exhibit a discontinuity in their slope at the critical temperature, hence the two physical quantities can be able to probe the p-wave superconducting phase transition. Both the HEE and HSC increase linearly at the large strip-widths, which is consistent with the “area law” of entanglement entropy and the definition of complexity in quantum information. We notice that the HEE in the superconducting phase is always lower than that in the normal phase. In contrast, the behavior of HSC shows a distinct and intriguing dependence on the strip-width. Through comparing the values of HEE and HSC for different massive coupling constants or backreaction, we find that increasing backreaction or introducing massive gravity term results in a notable increase in both HEE and HSC.http://www.sciencedirect.com/science/article/pii/S0550321325002883Holographic entanglement entropyHolographic subregion complexityp-wave superconductorMassive gravity |
| spellingShingle | Yiliang Hu Yabo Wu Junwang Lu Cheng-Yuan Zhang Jianan Chi Wenzhong Liu Numerical study of holographic entanglement entropy and subregion complexity for a p-wave superconductor in massive gravity Nuclear Physics B Holographic entanglement entropy Holographic subregion complexity p-wave superconductor Massive gravity |
| title | Numerical study of holographic entanglement entropy and subregion complexity for a p-wave superconductor in massive gravity |
| title_full | Numerical study of holographic entanglement entropy and subregion complexity for a p-wave superconductor in massive gravity |
| title_fullStr | Numerical study of holographic entanglement entropy and subregion complexity for a p-wave superconductor in massive gravity |
| title_full_unstemmed | Numerical study of holographic entanglement entropy and subregion complexity for a p-wave superconductor in massive gravity |
| title_short | Numerical study of holographic entanglement entropy and subregion complexity for a p-wave superconductor in massive gravity |
| title_sort | numerical study of holographic entanglement entropy and subregion complexity for a p wave superconductor in massive gravity |
| topic | Holographic entanglement entropy Holographic subregion complexity p-wave superconductor Massive gravity |
| url | http://www.sciencedirect.com/science/article/pii/S0550321325002883 |
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