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We derive a general relation between the ground state entanglement Hamiltonian and the physical stress tensor within the path integral formalism. For spherical entangling surfaces in a CFT, we reproduce the \emph{local} ground state…

高能物理 - 理论 · 物理学 2014-05-05 Gabriel Wong , Israel Klich , Leopoldo A. Pando Zayas , Diana Vaman

In analogy to the first law of thermodynamics, the increase in entanglement entropy $\delta S$ of a conformal field theory (CFT) is proportional to the increase in energy, $\delta E$, of the subsystem divided by an effective entanglement…

高能物理 - 理论 · 物理学 2016-07-13 G. C. Levine , B. Caravan

We argue that the entanglement entropy for a very small subsystem obeys a property which is analogous to the first law of thermodynamics when we excite the system. In relativistic setups, its effective temperature is proportional to the…

高能物理 - 理论 · 物理学 2013-03-14 Jyotirmoy Bhattacharya , Masahiro Nozaki , Tadashi Takayanagi , Tomonori Ugajin

We study thermodynamics of entanglement entropy for weakly excited states in certain non-conformal fields theories, whose gravity duals are given by non-conformal Dp-branes. We observe that the entanglement entropy of a sufficiently small…

高能物理 - 理论 · 物理学 2013-12-16 Da-Wei Pang

Entanglement temperature is an interesting quantity which relates the increased amount of entanglement entropy and energy for a weakly excited state in entanglement first-law, it is proportional to the inverse of the size of the…

高能物理 - 理论 · 物理学 2016-04-25 Xiao-Bao Xu , Gu-Qiang Li , Jie-Xiong Mo

We study entanglement entropy for an excited state by making use of the proposed holographic description of the entanglement entropy. For a sufficiently small entangling region and with reasonable identifications we find an equation between…

高能物理 - 理论 · 物理学 2013-08-30 Mohsen Alishahiha , Davood Allahbakhshi , Ali Naseh

In this paper, we investigate the entanglement entropy for the generalized charged BTZ black hole through the $AdS_{3}/CFT_{2}$ correspondence. Using the holographic description of the entanglement entropy for the strip-subsystem in…

广义相对论与量子宇宙学 · 物理学 2016-05-03 Seyed Ali Hosseini Mansoori , Behrouz Mirza , Mahdi Davoudi Darareh , Sharooz Janbaz

Inspired by the holographic computation of large interval entanglement entropy of two dimensional conformal field theory at high temperature, it was proposed that the thermal entropy is related to the entanglement entropy as…

高能物理 - 理论 · 物理学 2015-05-01 Bin Chen , Jie-qiang Wu

In this paper, we have investigated the entanglement thermodynamics for $d$-dimensional charged $AdS$ black hole by studying the holographic entanglement entropy in different cases. We have first computed the holographic entanglement…

高能物理 - 理论 · 物理学 2018-12-03 Sourav Karar , Debabrata Ghorai , Sunandan Gangopadhyay

The holographic quantum entanglement entropy for an infinite strip region of the boundary for the field theory dual to charged black holes in ${\cal A}dS_{3+1}$ is investigated. In this framework we elucidate the low and high temperature…

高能物理 - 理论 · 物理学 2016-09-21 Pankaj Chaturvedi , Vinay Malvimat , Gautam Sengupta

We demonstrate that the entanglement entropy area law for free fermion ground states and the corresponding volume law for highly excited states are related by a position-momentum duality, thus of the same origin. For a typical excited state…

统计力学 · 物理学 2015-03-05 Hsin-Hua Lai , Kun Yang

In this paper, we define the holographic multipartite entanglement entropy for $N$ separated subsystems living in a compact $\text{CFT}_d$ space-time. In a large $N$ limit, we find that the first-order holographic entanglement entropy…

高能物理 - 理论 · 物理学 2020-05-06 Hadyan Luthfan Prihadi , Donny Dwiputra , Freddy Permana Zen

We study the dynamics of entanglement entropy for weakly excited states in conformal field theories by using the AdS/CFT. This is aimed at a first step to find a counterpart of Einstein equation in the CFT language. In particular, we point…

高能物理 - 理论 · 物理学 2013-08-09 Masahiro Nozaki , Tokiro Numasawa , Andrea Prudenziati , Tadashi Takayanagi

A class of (2+1)-dimensional quantum many body system characterized by an anisotropic scaling symmetry (Lifshitz symmetry) near their quantum critical point can be described by a (3+1)-dimensional dual gravity theory with negative…

高能物理 - 理论 · 物理学 2015-05-14 Somdeb Chakraborty , Parijat Dey , Sourav Karar , Shibaji Roy

We use holography in order to study the entropy of thermal CFTs on (1+1)-dimensional curved backgrounds that contain horizons. Starting from the metric of the BTZ black hole, we perform explicit coordinate transformations that set the…

高能物理 - 理论 · 物理学 2021-09-29 Dimitrios Giataganas , Nikolaos Tetradis

Gauge/gravity duality relates an AdS black hole with uniform boost with a boosted strongly-coupled CFT at finite temperature. We study the perturbative change in holographic entanglement entropy for strip sub-region in such gravity…

高能物理 - 理论 · 物理学 2021-04-20 Sabyasachi Maulik , Harvendra Singh

We consider a quantum junction described by a 1+1-dimensional boundary conformal field theory (BCFT). Our analysis focuses on correlations emerging at finite temperature, achieved through the computation of entanglement measures. Our…

高能物理 - 理论 · 物理学 2024-05-28 Luca Capizzi , Andrei Rotaru

Using the AdS/CFT correspondence, we probe the scale-dependence of thermalization in strongly coupled field theories following a quench, via calculations of two-point functions, Wilson loops and entanglement entropy in d=2,3,4. In the…

We investigate a weak version of subsystem eigenstate thermalization hypothesis (ETH) for a two-dimensional large central charge conformal field theory by comparing the local equivalence of high energy state and thermal state of canonical…

高能物理 - 理论 · 物理学 2017-11-22 Song He , Feng-Li Lin , Jia-ju Zhang

We provide a derivation of holographic entanglement entropy for spherical entangling surfaces. Our construction relies on conformally mapping the boundary CFT to a hyperbolic geometry and observing that the vacuum state is mapped to a…

高能物理 - 理论 · 物理学 2011-05-12 Horacio Casini , Marina Huerta , Robert C. Myers
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