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Related papers: Complexity for Charged Thermofield Double States

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We investigate a large-$N$ CFT in a high-energy pure state coupled to a small auxiliary system of $M$ weakly-interacting degrees of freedom, and argue the relative state complexity of the auxiliary system is holographically dual to an…

High Energy Physics - Theory · Physics 2020-07-28 Alexander Yosifov , Aditya Iyer , Lachezar Filipov

In this paper, we consider the evolution of the thermofield-double state under the double-traced operator that connects its both sides. We will compute the entanglement entropy of the resulting state using the replica trick for the large N…

High Energy Physics - Theory · Physics 2021-10-28 Pouria Dadras

We examine the circuit complexity of coherent states in a free scalar field theory, applying Nielsen's geometric approach as in [1]. The complexity of the coherent states have the same UV divergences as the vacuum state complexity and so we…

High Energy Physics - Theory · Physics 2018-10-10 Minyong Guo , Juan Hernandez , Robert C. Myers , Shan-Ming Ruan

We provide mass/energy formulas for the extended thermodynamics, mixed thermodynamics, and holographic conformal field theory (CFT) thermodynamics for the charged and rotating Kerr-Newman Anti-de Sitter black holes. Then for the CFT thermal…

High Energy Physics - Theory · Physics 2023-06-27 Ting-Feng Gong , Jie Jiang , Ming Zhang

In this paper, we relate the complexity for a holographic state to a simple gravitational object of which the growth rate at late times is equal to temperature times black hole entropy. We show that if this is correct, the thermodynamics of…

High Energy Physics - Theory · Physics 2019-07-31 Zhong-Ying Fan , Minyong Guo

In the paper we further refine the thermodynamics method of black hole/CFT correspondence. We show that one can derive the central charges of different holographic pictures directly from the entropy product $S_+S_-$ if it is…

High Energy Physics - Theory · Physics 2013-04-04 Bin Chen , Zhao Xue , Jia-ju Zhang

In this paper, we delve into the study of thermodynamics and phase transition of charged Gauss-Bonnet black holes within the context of anti-de Sitter (AdS) space, with particular emphasis on the central charge's role within the dual…

General Relativity and Quantum Cosmology · Physics 2024-08-15 Jafar Sadeghi , Mohammad Reza Alipour , Mohammad Ali S. Afshar , Saeed Noori Gashti

We generate a class of string backgrounds by a sequence of TsT transformations of the NS1-NS5 system that we argue are holographically dual to states in a single-trace $T\bar T + J\bar T + T\bar J$-deformed CFT$_2$. The new string…

High Energy Physics - Theory · Physics 2025-01-08 Luis Apolo , Wei Song

We analyze the near-horizon limit of a general black hole with two commuting killing vector fields in the limit of zero temperature. We use black hole thermodynamics methods to relate asymptotic charges of the complete spacetime to those…

High Energy Physics - Theory · Physics 2014-11-21 Bruno Carneiro da Cunha , Amilcar R. de Queiroz

We consider circuit complexity in certain interacting scalar quantum field theories, mainly focusing on the $\phi^4$ theory. We work out the circuit complexity for evolving from a nearly Gaussian unentangled reference state to the entangled…

High Energy Physics - Theory · Physics 2018-10-24 Arpan Bhattacharyya , Arvind Shekar , Aninda Sinha

It is assumed that the holographic complexities such as the complexity-action (CA) and the complexity-volume (CV) conjecture are dual to complexity in field theory. However, because the definition of the complexity in field theory is still…

High Energy Physics - Theory · Physics 2021-02-05 Run-Qiu Yang , Yu-Sen An , Chao Niu , Cheng-Yong Zhang , Keun-Young Kim

In this paper, we study the thermodynamic behavior of charged AdS black holes in a conformal holographic extended thermodynamic. Our setup is constructed using a new dictionary that relates AdS black hole quantities to the corresponding…

High Energy Physics - Theory · Physics 2024-03-26 Yahya Ladghami , Taoufik Ouali

We explore entanglement negativity, a measure of the distillable entanglement contained in a quantum state, in relativistic field theories in various dimensions. We first give a general overview of negativity and its properties and then…

High Energy Physics - Theory · Physics 2015-06-22 Mukund Rangamani , Massimiliano Rota

We explore the phase structure of a holographic toy model of superfluid states in non-relativistic conformal field theories. At low background mass density, we find a familiar second-order transition to a superfluid phase at finite…

High Energy Physics - Theory · Physics 2015-03-19 Allan Adams , Juven Wang

In this article, we explore the holographic Q-picture description for the charged rotating black holes in the five-dimensional minimal supergravity. The central charge in the Q-picture depends only on black hole charge, therefore can be…

High Energy Physics - Theory · Physics 2010-11-23 C. -M. Chen , V. Kamali , M. R. Setare

We study the complexity of Gaussian mixed states in a free scalar field theory using the 'purification complexity'. The latter is defined as the lowest value of the circuit complexity, optimized over all possible purifications of a given…

High Energy Physics - Theory · Physics 2020-03-18 Elena Caceres , Shira Chapman , Josiah D. Couch , Juan P. Hernandez , Robert C. Myers , Shan-Ming Ruan

Circuit complexity for two-dimensional topological quantum field theories (2D TQFT) was defined by Couch, Fan, and Shashi in [12]. In this paper, we study complexity for the 2D TQFT given by quantum cohomology of compact symplectic…

Algebraic Geometry · Mathematics 2026-03-04 Xiaobo Liu , Chongyu Wang

The holographic principle implies that quantum field theory overcounts the number of independent degrees of freedom in quantum gravity. An argument due to Cohen, Kaplan, and Nelson (CKN) suggests that the number of degrees of freedom…

High Energy Physics - Phenomenology · Physics 2021-07-09 Nikita Blinov , Patrick Draper

In this article, we investigate the quantum circuit complexity and entanglement entropy in the recently studied black hole gas framework using the two-mode squeezed states formalism written in arbitrary dimensional spatially flat…

High Energy Physics - Theory · Physics 2021-09-03 Kiran Adhikari , Sayantan Choudhury , Satyaki Chowdhury , K. Shirish , Abinash Swain

We study the holographic dual of the extended thermodynamics of spherically symmetric, charged Gauss-Bonnet AdS black holes in the context of the AdS/CFT correspondence. Compared to Einstein's theory of gravity, Gauss-Bonnet gravity…

High Energy Physics - Theory · Physics 2025-12-22 Limin Zeng