Complexity for holographic superconductors with the nonlinear electrodynamics

We systematically study the complexity of a strip-shaped subregion in a fully backreacted holographic model of a superconductor with the nonlinear electrodynamics by the “complexity=volume” (CV) conjecture, and compare it with the holographic entanglement entropy. We consider three types of typical...

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Autores principales:	Chuyu Lai, Qiyuan Pan
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2022
Materias:	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/63972de126384c5f98f5fa18cdaaa1d2
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spelling	oai:doaj.org-article:63972de126384c5f98f5fa18cdaaa1d22021-11-26T04:24:20ZComplexity for holographic superconductors with the nonlinear electrodynamics0550-321310.1016/j.nuclphysb.2021.115615https://doaj.org/article/63972de126384c5f98f5fa18cdaaa1d22022-01-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S0550321321003126https://doaj.org/toc/0550-3213We systematically study the complexity of a strip-shaped subregion in a fully backreacted holographic model of a superconductor with the nonlinear electrodynamics by the “complexity=volume” (CV) conjecture, and compare it with the holographic entanglement entropy. We consider three types of typical nonlinear electrodynamics and find that the holographic complexity can be utilized as a good probe of the superconductor phase transition in the nonlinear electrodynamics like the holographic entanglement entropy does. For the operator O−, the complexity decreases (or increases) monotonically as the absolute value of the nonlinear parameter \|b\| grows in the superconducting (or normal) phase, which is the opposite of the behavior of the holographic entanglement entropy, and this property holds for various types of the nonlinear electrodynamics. For the operator O+, in the superconducting phase, it is interesting to note that the complexity is a monotonic decreasing function of \|b\| for the Logarithmic nonlinear electrodynamics (LNE), but in systems with the Born-Infeld nonlinear electrodynamics (BINE) and Exponential nonlinear electrodynamics (ENE), as the parameter \|b\| increases, the complexity first decreases and arrives at its minimum at some threshold, then increases monotonously. Whereas the non-monotonic variation of the holographic entanglement entropy can be seen in all the three types of the nonlinear electrodynamics, concretely, it first rises, then descends with larger \|b\|, and has a peak at the inflection point. Furthermore, comparing with the BINE and LNE, we find that the ENE has stronger effect on the condensation formation, the subregion complexity and the entanglement entropy of the holographic superconductors with backreaction.Chuyu LaiQiyuan PanElsevierarticleNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENNuclear Physics B, Vol 974, Iss , Pp 115615- (2022)
institution	DOAJ
collection	DOAJ
language	EN
topic	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Chuyu Lai Qiyuan Pan Complexity for holographic superconductors with the nonlinear electrodynamics
description	We systematically study the complexity of a strip-shaped subregion in a fully backreacted holographic model of a superconductor with the nonlinear electrodynamics by the “complexity=volume” (CV) conjecture, and compare it with the holographic entanglement entropy. We consider three types of typical nonlinear electrodynamics and find that the holographic complexity can be utilized as a good probe of the superconductor phase transition in the nonlinear electrodynamics like the holographic entanglement entropy does. For the operator O−, the complexity decreases (or increases) monotonically as the absolute value of the nonlinear parameter \|b\| grows in the superconducting (or normal) phase, which is the opposite of the behavior of the holographic entanglement entropy, and this property holds for various types of the nonlinear electrodynamics. For the operator O+, in the superconducting phase, it is interesting to note that the complexity is a monotonic decreasing function of \|b\| for the Logarithmic nonlinear electrodynamics (LNE), but in systems with the Born-Infeld nonlinear electrodynamics (BINE) and Exponential nonlinear electrodynamics (ENE), as the parameter \|b\| increases, the complexity first decreases and arrives at its minimum at some threshold, then increases monotonously. Whereas the non-monotonic variation of the holographic entanglement entropy can be seen in all the three types of the nonlinear electrodynamics, concretely, it first rises, then descends with larger \|b\|, and has a peak at the inflection point. Furthermore, comparing with the BINE and LNE, we find that the ENE has stronger effect on the condensation formation, the subregion complexity and the entanglement entropy of the holographic superconductors with backreaction.
format	article
author	Chuyu Lai Qiyuan Pan
author_facet	Chuyu Lai Qiyuan Pan
author_sort	Chuyu Lai
title	Complexity for holographic superconductors with the nonlinear electrodynamics
title_short	Complexity for holographic superconductors with the nonlinear electrodynamics
title_full	Complexity for holographic superconductors with the nonlinear electrodynamics
title_fullStr	Complexity for holographic superconductors with the nonlinear electrodynamics
title_full_unstemmed	Complexity for holographic superconductors with the nonlinear electrodynamics
title_sort	complexity for holographic superconductors with the nonlinear electrodynamics
publisher	Elsevier
publishDate	2022
url	https://doaj.org/article/63972de126384c5f98f5fa18cdaaa1d2
work_keys_str_mv	AT chuyulai complexityforholographicsuperconductorswiththenonlinearelectrodynamics AT qiyuanpan complexityforholographicsuperconductorswiththenonlinearelectrodynamics
_version_	1718409904551624704

Complexity for holographic superconductors with the nonlinear electrodynamics

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