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We calculate analytically the R\'enyi bipartite entanglement entropy $S_{\alpha}$ of the ground state of $1+1$ dimensional conformal field theories (CFT) after performing a projective measurement in a part of the system. We show that the…

高能物理 - 理论 · 物理学 2016-08-03 M. A. Rajabpour

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

In this work we study the time evolutions of (Renyi) entanglement entropy of locally excited states in two dimensional conformal field theories (CFTs) at finite temperature. We consider excited states created by acting with local operators…

高能物理 - 理论 · 物理学 2015-06-23 Pawel Caputa , Joan Simon , Andrius Stikonas , Tadashi Takayanagi

We study the time evolution of Renyi entanglement entropy for locally excited states in two dimensional large central charge CFTs. It generically shows a logarithmical growth and we compute the coefficient of $\log t$ term. Our analysis…

高能物理 - 理论 · 物理学 2018-03-14 Yuya Kusuki , Tadashi Takayanagi

Quantum entanglement and its main quantitative measures, the entanglement entropy and entanglement negativity, play a central role in many body physics. An interesting twist arises when the system considered has symmetries leading to…

统计力学 · 物理学 2020-01-08 Noa Feldman , Moshe Goldstein

This is an extended version of our short report hep-th/0603001, where a holographic interpretation of entanglement entropy in conformal field theories is proposed from AdS/CFT correspondence. In addition to a concise review of relevant…

高能物理 - 理论 · 物理学 2010-02-03 Shinsei Ryu , Tadashi Takayanagi

Entanglement entropies are notoriously difficult to compute. Large-N strongly-coupled holographic CFTs are an important exception, where the AdS/CFT dictionary gives the entanglement entropy of a CFT region in terms of the area of an…

高能物理 - 理论 · 物理学 2017-05-30 Sebastian Fischetti , Toby Wiseman

We investigate how entanglement spreads in time-dependent states of a 1+1 dimensional conformal field theory (CFT). The results depend qualitatively on the value of the central charge. In rational CFTs, which have central charge below a…

高能物理 - 理论 · 物理学 2015-10-07 Curtis T. Asplund , Alice Bernamonti , Federico Galli , Thomas Hartman

It was proposed by Ryu and Takayanagi that the entanglement entropy in conformal field theory (CFT) is related through the AdS/CFT correspondence to the area of a minimal surface in the bulk. We apply this holographic geometrical method of…

高能物理 - 理论 · 物理学 2014-06-11 Pavel Krtous , Andrei Zelnikov

We present a new class of local quenches described by mixed states, parameterized universally by two parameters. We compute the evolutions of entanglement entropy for both a holographic and Dirac fermion CFT in two dimensions. This turns…

高能物理 - 理论 · 物理学 2019-11-22 Arpan Bhattacharyya , Tadashi Takayanagi , Koji Umemoto

Various aspects of warped conformal field theories (WCFTs) are studied including entanglement entropy on excited states, the Renyi entropy after a local quench, and out-of-time-order four-point functions. Assuming a large central charge and…

高能物理 - 理论 · 物理学 2019-04-11 Luis Apolo , Song He , Wei Song , Jianfei Xu , Junjie Zheng

We derive dynamics of the entanglement wedge cross section directly from the two-dimensional holographic CFTs with a local operator quench. This derivation is based on the reflected entropy, a correlation measure for mixed states. We…

高能物理 - 理论 · 物理学 2021-03-17 Yuya Kusuki , Kotaro Tamaoka

We investigate the real time dynamics of the radiation produced by a local quench in a $d$-dimensional conformal field theory (CFT) with $d>2$. Using the interpretation of the higher-dimensional twist operator as a conformal defect, we…

高能物理 - 理论 · 物理学 2025-02-28 Lorenzo Bianchi , Andrea Mattiello , Jacopo Sisti

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…

Growth of entanglement entropy in time-dependent states formed due to a global quench in holographic conformal field theories which admit an Einstein-Gauss-Bonnet dual gravity description is studied. The global quench in the bulk is…

高能物理 - 理论 · 物理学 2025-08-28 Sabyasachi Maulik , Soumen Pari

In this paper we discuss the topics concerning the local excitation and coherent state in 2D CFT. It is shown that the local excitation of primary operator can be taken as a coherent state of the global conformal group. We also discuss the…

高能物理 - 理论 · 物理学 2015-12-15 Wu-Zhong Guo

We study the evolution of entanglement after a global quench in a one-dimensional quantum system with a localized impurity. For systems described by a conformal field theory, the entanglement entropy between the two regions separated by the…

统计力学 · 物理学 2023-04-12 Luca Capizzi , Viktor Eisler

We study entanglement entropy of excited states in two dimensional conformal field theories (CFTs). Especially we consider excited states obtained by acting primary operators on a vacuum. We show that under its time evolution, entanglement…

高能物理 - 理论 · 物理学 2014-08-20 Song He , Tokiro Numasawa , Tadashi Takayanagi , Kento Watanabe

We use the AdS/CFT correspondence to study models of entanglement and correlations between two $d=4$ CFTs in thermofield double states at finite chemical potential. Our bulk spacetimes are planar Reissner-Nordstr\"om AdS black holes. We…

高能物理 - 理论 · 物理学 2014-04-14 Tomas Andrade , Sebastian Fischetti , Donald Marolf , Simon F. Ross , Moshe Rozali

Bulk localized excited states in an AdS spacetime can be constructed from Ishibashi states with respect to the global conformal symmetry in the dual CFT. We study boundary two point functions of primary operators in the presence of bulk…

高能物理 - 理论 · 物理学 2016-10-12 Kanato Goto , Masamichi Miyaji , Tadashi Takayanagi