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Related papers: Complexity of Holographic Superconductors

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We present the results of our computation of the subregion complexity and also compare it with the entanglement entropy of a $2+1$--dimensional holographic superconductor which has a fully backreacted gravity dual with a stable ground sate.…

High Energy Physics - Theory · Physics 2020-04-08 Avik Chakraborty

We evaluate the full time dependence of holographic complexity in various eternal black hole backgrounds using both the complexity=action (CA) and the complexity=volume (CV) conjectures. We conclude using the CV conjecture that the rate of…

High Energy Physics - Theory · Physics 2018-11-15 Dean Carmi , Shira Chapman , Hugo Marrochio , Robert C. Myers , Sotaro Sugishita

We study holographic superconductivity by expanding the equations in the inverse of the number of spacetime dimensions D. We obtain an analytic expression for the critical temperature as a function of the conformal dimension of the…

High Energy Physics - Theory · Physics 2022-03-07 Roberto Emparan , Kentaro Tanabe

We calculate analytically properties of holographic superconductors in the probe limit. We analyze the range $1/2 < \Delta < 3$, where $\Delta$ is the dimension of the operator that condenses. We obtain the critical temperature in terms of…

High Energy Physics - Theory · Physics 2015-05-18 George Siopsis , Jason Therrien

This paper is devoted to the study of the evolution of holographic complexity after a local perturbation of the system at finite temperature. We calculate the complexity using both the complexity=action(CA) and the complexity=volume(CA)…

High Energy Physics - Theory · Physics 2019-12-11 Dmitry S. Ageev

We study the "complexity equals volume" (CV) and "complexity equals action" (CA) conjectures by examining moments of of time symmetry for $\rm AdS_3$ wormholes having $n$ asymptotic regions and arbitrary (orientable) internal topology. For…

High Energy Physics - Theory · Physics 2018-02-15 Zicao Fu , Alexander Maloney , Donald Marolf , Henry Maxfield , Zhencheng Wang

We study inhomogeneous solutions of a 3+1-dimensional Einstein-Maxwell-scalar theory. Our results provide a holographic model of superconductivity in the presence of a charge density wave sourced by a modulated chemical potential. We find…

High Energy Physics - Theory · Physics 2011-03-22 Raphael Flauger , Enrico Pajer , Stefanos Papanikolaou

The effects of a boundary on the circuit complexity are studied in two dimensional theories. The analysis is performed in the holographic realization of a conformal field theory with a boundary by employing different proposals for the dual…

High Energy Physics - Theory · Physics 2021-04-15 Paolo Braccia , Aldo L. Cotrone , Erik Tonni

We explore the behaviors of the holographic superconductors at zero temperature for a charged scalar field coupled to a Maxwell field in higher-dimensional AdS soliton spacetime via analytical way. In the probe limit, we obtain the critical…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Chong Oh Lee

We investigate the dependence of the conductivity and the entanglement entropy on the space-time dimensionality $d$ in two holographic superconductors: one dual to a quantum critical point with spontaneous symmetry breaking, and the other…

High Energy Physics - Theory · Physics 2016-01-15 Aurelio Romero-Bermúdez , Antonio M. García-García

We construct a time-dependent expression of the computational complexity of a quantum system which consists of two conformal complex scalar field theories in d dimensions coupled to constant electric potentials and defined on the boundaries…

High Energy Physics - Theory · Physics 2019-05-29 Musema Sinamuli , Robert B. Mann

By using the RT formula and the subregion CV conjecture respectively, we numerically investigate the holographic entanglement entropy (HEE) and holographic subregion complexity (HSC) for two holographic d-wave superconducting models with…

High Energy Physics - Theory · Physics 2023-03-09 Yuanceng Xu , Yu Shi , Dong Wang , Qiyuan Pan

We construct a $6$ derivative holographic superconductor model in the $4$-dimensional bulk spacetimes, in which the normal state describes a quantum critical (QC) phase. The phase diagram $(\gamma_1,\hat{T}_c)$ and the condensation as the…

High Energy Physics - Theory · Physics 2017-10-24 Jian-Pin Wu , Peng Liu

In this paper, we analytically investigate the properties of holographic superconductors in higher dimensions in the framework of Born-Infeld electrodynamics taking into account the backreaction of the spacetime using the Sturm-Liouville…

High Energy Physics - Theory · Physics 2016-04-20 Debabrata Ghorai , Sunandan Gangopadhyay

We study (3+1)-dimensional holographic superconductors in Einstein-Gauss-Bonnet gravity both numerically and analytically. It is found that higher curvature corrections make condensation harder. We give an analytic proof of this result, and…

High Energy Physics - Theory · Physics 2014-11-20 Ruth Gregory , Sugumi Kanno , Jiro Soda

We analyze the holographic subregion complexity in a $3d$ black hole with the vector hair. This $3d$ black hole is dual to a $1+1$ dimensional $p$-wave superconductor. We probe the black hole by changing the size of the interval and by…

High Energy Physics - Theory · Physics 2019-07-12 Mitsutoshi Fujita

We study the CV, CA, and CV2.0 approaches to holographic complexity in $(d+1)$-dimensional de Sitter spacetime. We find that holographic complexity and corresponding growth rate presents universal behaviour for all three approaches. In…

High Energy Physics - Theory · Physics 2022-06-08 Eivind Jørstad , Robert C. Myers , Shan-Ming Ruan

We investigate analytically as well as numerically the properties of s-wave holographic superconductors in $d$-dimensional spacetime and in the presence of Logarithmic nonlinear electrodynamics. We study three aspects of these kind of…

High Energy Physics - Theory · Physics 2018-04-17 Ahmad Sheykhi , Doa Hashemi Asl , Amin Dehyadegari

Holographic superconductor is an important arena for holography, as it allows concrete calculations to further understand the dictionary between bulk physics and boundary physics. An important quantity of recent interest is the holographic…

High Energy Physics - Theory · Physics 2017-05-29 Mahdi Kord Zangeneh , Yen Chin Ong , Bin Wang

We study the evolution of holographic complexity of pure and mixed states in $1+1$-dimensional conformal field theory following a local quench using both the "complexity equals volume" (CV) and the "complexity equals action" (CA)…

High Energy Physics - Theory · Physics 2018-08-24 Dmitry S. Ageev , Irina Ya. Aref'eva , Andrey A. Bagrov , Mikhail I. Katsnelson
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