Holographic entanglement entropy and subregion complexity for excited states of holographic superconductors

We investigate the holographic entanglement entropy (HEE) and the holographic subregion complexity (HSC) for holographic superconductors, both in the Einstein and in the Einstein-Gauss-Bonnet gravitational theories. For both ground and excited states, we show that, in the Einstein gravity, the HSC d...

Full description

Bibliographic Details
Main Authors: Dong Wang, Xiongying Qiao, Mengjie Wang, Qiyuan Pan, Chuyu Lai, Jiliang Jing
Format: Article
Language:English
Published: Elsevier 2023-06-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321323001529
_version_ 1827944352201048064
author Dong Wang
Xiongying Qiao
Mengjie Wang
Qiyuan Pan
Chuyu Lai
Jiliang Jing
author_facet Dong Wang
Xiongying Qiao
Mengjie Wang
Qiyuan Pan
Chuyu Lai
Jiliang Jing
author_sort Dong Wang
collection DOAJ
description We investigate the holographic entanglement entropy (HEE) and the holographic subregion complexity (HSC) for holographic superconductors, both in the Einstein and in the Einstein-Gauss-Bonnet gravitational theories. For both ground and excited states, we show that, in the Einstein gravity, the HSC decreases as the temperature increases and the normal phase has a smaller HSC than the superconducting phase, which is opposite to the behavior of the HEE. Moreover, we find out that, for a given temperature T in the superconducting phase, the higher excited state leads to a lager value of the HEE but a smaller value of the HSC. However, the Einstein-Gauss-Bonnet gravity has significantly different effect on the HSC, while the HEE always increases monotonously as the temperature increases and its value in the normal phase always larger than that in the superconducting phase. Our results indicate that the HEE and HSC provide richer physics in phase transitions and condensation of scalar hair for holographic superconductors with excited states.
first_indexed 2024-03-13T10:29:00Z
format Article
id doaj.art-83176dd00c024112a2bbace379356650
institution Directory Open Access Journal
issn 0550-3213
language English
last_indexed 2024-03-13T10:29:00Z
publishDate 2023-06-01
publisher Elsevier
record_format Article
series Nuclear Physics B
spelling doaj.art-83176dd00c024112a2bbace3793566502023-05-19T04:44:56ZengElsevierNuclear Physics B0550-32132023-06-01991116223Holographic entanglement entropy and subregion complexity for excited states of holographic superconductorsDong Wang0Xiongying Qiao1Mengjie Wang2Qiyuan Pan3Chuyu Lai4Jiliang Jing5Key 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 University, Changsha, Hunan 410081, ChinaKey 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 University, Changsha, Hunan 410081, ChinaKey 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 University, Changsha, Hunan 410081, China; Corresponding authors.Key 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 University, Changsha, Hunan 410081, China; Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, Yangzhou 225009, China; Corresponding authors.Center for Astrophysics, School of Physics and Materials Science, Guangzhou University, Guangzhou 510006, China; Corresponding authors.Key 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 University, Changsha, Hunan 410081, China; Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, Yangzhou 225009, ChinaWe investigate the holographic entanglement entropy (HEE) and the holographic subregion complexity (HSC) for holographic superconductors, both in the Einstein and in the Einstein-Gauss-Bonnet gravitational theories. For both ground and excited states, we show that, in the Einstein gravity, the HSC decreases as the temperature increases and the normal phase has a smaller HSC than the superconducting phase, which is opposite to the behavior of the HEE. Moreover, we find out that, for a given temperature T in the superconducting phase, the higher excited state leads to a lager value of the HEE but a smaller value of the HSC. However, the Einstein-Gauss-Bonnet gravity has significantly different effect on the HSC, while the HEE always increases monotonously as the temperature increases and its value in the normal phase always larger than that in the superconducting phase. Our results indicate that the HEE and HSC provide richer physics in phase transitions and condensation of scalar hair for holographic superconductors with excited states.http://www.sciencedirect.com/science/article/pii/S0550321323001529
spellingShingle Dong Wang
Xiongying Qiao
Mengjie Wang
Qiyuan Pan
Chuyu Lai
Jiliang Jing
Holographic entanglement entropy and subregion complexity for excited states of holographic superconductors
Nuclear Physics B
title Holographic entanglement entropy and subregion complexity for excited states of holographic superconductors
title_full Holographic entanglement entropy and subregion complexity for excited states of holographic superconductors
title_fullStr Holographic entanglement entropy and subregion complexity for excited states of holographic superconductors
title_full_unstemmed Holographic entanglement entropy and subregion complexity for excited states of holographic superconductors
title_short Holographic entanglement entropy and subregion complexity for excited states of holographic superconductors
title_sort holographic entanglement entropy and subregion complexity for excited states of holographic superconductors
url http://www.sciencedirect.com/science/article/pii/S0550321323001529
work_keys_str_mv AT dongwang holographicentanglemententropyandsubregioncomplexityforexcitedstatesofholographicsuperconductors
AT xiongyingqiao holographicentanglemententropyandsubregioncomplexityforexcitedstatesofholographicsuperconductors
AT mengjiewang holographicentanglemententropyandsubregioncomplexityforexcitedstatesofholographicsuperconductors
AT qiyuanpan holographicentanglemententropyandsubregioncomplexityforexcitedstatesofholographicsuperconductors
AT chuyulai holographicentanglemententropyandsubregioncomplexityforexcitedstatesofholographicsuperconductors
AT jiliangjing holographicentanglemententropyandsubregioncomplexityforexcitedstatesofholographicsuperconductors