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Related papers: Twist Operator BOPE and Entanglement Entropy in 2D…

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We calculate the time evolution of the entanglement entropy in a 1+1 CFT with a holographic dual when there is a localized left-moving packet of energy density. We find the gravity result agrees with a field theory result derived from the…

High Energy Physics - Theory · Physics 2013-07-10 Matthew M. Roberts

We study the entanglement entropy and spectrum between components in binary Bose-Einstein condensates in $d$ spatial dimensions. We employ effective field theory to show that the entanglement spectrum exhibits an anomalous square-root…

Quantum Gases · Physics 2021-04-21 Takumi Yoshino , Shunsuke Furukawa , Masahito Ueda

We introduce a novel technique to numerically calculate R\'enyi entanglement entropies in lattice quantum field theory using generative models. We describe how flow-based approaches can be combined with the replica trick using a custom…

We give a prescription for calculating the entanglement entropy in holographic probe brane systems by systematically taking the leading order backreaction of the probe brane into account. We find a simple compact double integral formula,…

High Energy Physics - Theory · Physics 2015-06-16 Han-Chih Chang , Andreas Karch

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…

High Energy Physics - Theory · Physics 2014-06-11 Pavel Krtous , Andrei Zelnikov

We compute entanglement entropy for free massive scalar fields in anti-de Sitter (AdS) space. The entangling surface is a minimal surface whose boundary is a sphere at the boundary of AdS. The entropy can be evaluated from the thermal free…

High Energy Physics - Theory · Physics 2017-11-22 Sotaro Sugishita

The entanglement entropy of a subsystem $A$ of a quantum system is expressed, in the replica method, through analytic continuation with respect to n of the trace of the n-th power of the reduced density matrix $\tr\rho_A^n$. We study the…

Statistical Mechanics · Physics 2010-03-25 F. Gliozzi , L. Tagliacozzo

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…

High Energy Physics - Theory · Physics 2021-03-17 Yuya Kusuki , Kotaro Tamaoka

We reconsider the computation of the entanglement entropy of two disjoint intervals in a (1+1) dimensional conformal field theory by conformal block expansion of the 4-point correlation function of twist fields. We show that accurate…

Statistical Mechanics · Physics 2019-03-26 Paola Ruggiero , Erik Tonni , Pasquale Calabrese

We study the entropy of chiral 2+1-dimensional topological phases, where there are both gapped bulk excitations and gapless edge modes. We show how the entanglement entropy of both types of excitations can be encoded in a single partition…

Statistical Mechanics · Physics 2008-11-26 Paul Fendley , Matthew P. A. Fisher , Chetan Nayak

We compute the bulk entanglement entropy of a massive scalar field in a Poincare AdS with the Dirichlet and Neumann boundary condition when we trace out a half space. Moreover, by taking into account the quantum back reaction to the minimal…

High Energy Physics - Theory · Physics 2016-01-25 Taiki Miyagawa , Noburo Shiba , Tadashi Takayanagi

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…

High Energy Physics - Theory · Physics 2010-02-03 Shinsei Ryu , Tadashi Takayanagi

The scaling of entanglement entropy for the nearest neighbor antiferromagnetic Heisenberg spin model is studied computationally for clusters joined by a single bond. Bisecting the balanced three legged Bethe Cluster, gives a second Renyi…

Strongly Correlated Electrons · Physics 2017-10-13 Barry A. Friedman , Gregory C. Levine

We prove that in any unitary CFT, a twist gap in the spectrum of operator product expansion (OPE) of identical scalar primary operators (i.e. $\phi\times \phi$) implies the existence of a family of primary operators $\mathcal{O}_{\tau,…

High Energy Physics - Theory · Physics 2025-11-20 Sridip Pal , Jiaxin Qiao , Slava Rychkov

We study the conformal bootstrap of 1D CFTs on the straight Maldacena-Wilson line in 4D ${\cal N}=4$ super-Yang-Mills theory. We introduce an improved truncation scheme with an 'OPE tail' approximation and use it to reproduce the…

High Energy Physics - Theory · Physics 2023-12-06 V. Niarchos , C. Papageorgakis , P. Richmond , A. G. Stapleton , M. Woolley

Two-dimensional conformal field theories with a large central charge and a small number of low-dimension operators are studied using the conformal block expansion. A universal formula is derived for the Renyi entropies of N disjoint…

High Energy Physics - Theory · Physics 2013-03-29 Thomas Hartman

The scaling of entanglement entropy is computationally studied in several $1\le d \le 2$ dimensional free fermion systems that are connected by one or more point contacts (PC). For both the $k$-leg Bethe lattice $(d =1)$ and $d=2$…

Strongly Correlated Electrons · Physics 2014-05-14 B. Caravan , B. A. Friedman , G. C. Levine

The entanglement entropy has been historically studied by many authors in order to obtain quantum mechanical interpretations of the gravitational entropy. The discovery of AdS/CFT correspondence leads to the idea of holographic entanglement…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Tadashi Takayanagi

We study the entanglement structure of Abelian topological order described by $p$-form BF theory in arbitrary dimensions. We do so directly in the low-energy topological quantum field theory by considering the algebra of topological surface…

High Energy Physics - Theory · Physics 2024-10-17 Jackson R. Fliss , Stathis Vitouladitis

In this paper, we explore the imaginary part of the timelike entanglement entropy. In the context of field theory, it is more appropriate to obtain the timelike entanglement entropy through the Wick rotation of the twist operators. It is…

High Energy Physics - Theory · Physics 2024-11-27 Wu-zhong Guo , Jin Xu