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Related papers: Finite Entanglement Entropy in String Theory

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We generalize techniques previously used to compute ground-state properties of one-dimensional noninteracting quantum gases to obtain exact results at finite temperature. We compute the order-n R\'enyi entanglement entropy to all orders in…

Statistical Mechanics · Physics 2017-06-13 Joaquín E. Drut , William J. Porter

We attempt to understand the fate of spacelike gravitational singularities in string theory via the quantum stress tensor for string matter in a fixed background. We first approximate the singularity with a homogeneous anisotropic…

High Energy Physics - Theory · Physics 2014-11-18 Albion Lawrence , Emil Martinec

This article presents the basis of a theory of entanglement. We begin with a classical theory of entangled discrete measures in Section~1. Section~2 treats quantum mechanics and discusses the statistics of bounded operators on a Hilbert…

Quantum Physics · Physics 2022-09-01 Stanley Gudder

It is pointed out that the entanglement entropy of quantum fields near the horizon of a two-dimensional black hole can be derived by means of the conformal field theory. This can be done in a way analogous to the computation of the entropy…

High Energy Physics - Theory · Physics 2007-05-23 Dmitri V. Fursaev

Entanglement entropy of quantum fields in gravitational settings is a topic of growing importance. This entropy of entanglement is conventionally computed relative to Cauchy hypersurfaces where it is possible via a partial tracing to…

High Energy Physics - Theory · Physics 2021-05-07 Yangang Chen , Lucas Hackl , Ravi Kunjwal , Heidar Moradi , Yasaman K. Yazdi , Miguel Zilhão

We investigate the entanglement properties of a finite size 1+1 dimensional Ising spin chain, and show how these properties scale and can be utilized to reconstruct the ground state wave function. Even at the critical point, few terms in a…

Quantum Physics · Physics 2007-05-23 Stein Olav Skrøvseth

This is the second in a two-part paper devoted to studying entanglement entropy and edge modes in the A model topological string theory. This theory enjoys a gauge-string (Gopakumar-Vafa) duality which is a topological analogue of AdS/CFT.…

High Energy Physics - Theory · Physics 2021-11-17 Yikun Jiang , Manki Kim , Gabriel Wong

We study the Type IIA NS five-brane wrapped on a Calabi-Yau manifold X in a double-scaled decoupling limit. We calculate the euclidean partition function in the presence of a flat RR 3-form field. The classical contribution is given by a…

High Energy Physics - Theory · Physics 2007-05-23 R. Dijkgraaf , E. Verlinde , M. Vonk

We consider deformation of a generic $d$ dimensional ($d\geq 2$) large-$N$ CFT on a sphere by a spin-0 operator which is bilinear in the components of the stress tensor. Such a deformation has been proposed to be holographically dual to an…

High Energy Physics - Theory · Physics 2019-09-26 Aritra Banerjee , Arpan Bhattacharyya , Soumangsu Chakraborty

We use the techniques in symmetric orbifolding to calculate the Entanglement Entropy of a single interval in a two dimensional conformal field theory on a circle which is excited to a pure highest weight state. This is achieved by…

High Energy Physics - Theory · Physics 2012-08-17 Amir Esmaeil Mosaffa

A recently proposed history formalism is used to define temporal entanglement in quantum systems, and compute its entropy. The procedure is based on the time-reduction of the history density operator, and allows a symmetrical treatment of…

Quantum Physics · Physics 2022-04-05 Leonardo Castellani

For holographic CFT states near the vacuum, entanglement entropies for spatial subsystems can be expressed perturbatively as an expansion in the one-point functions of local operators dual to light bulk fields. Using the connection between…

High Energy Physics - Theory · Physics 2016-07-20 Matthew J. S. Beach , Jaehoon Lee , Charles Rabideau , Mark Van Raamsdonk

We show that there is a unique maximal decomposition of a pure multi-partite (N>2) quantum state into a sum of states which are "locally orthogonal" in the sense that the local reduced state for a term in the sum lives in its own orthogonal…

Quantum Physics · Physics 2013-10-17 C. Jess Riedel

We review some of the recent progress on the study of entropy of entanglement in many-body quantum systems. Emphasis is placed on the scaling properties of entropy for one-dimensional multi-partite models at quantum phase transitions and,…

Statistical Mechanics · Physics 2015-05-13 J. I. Latorre , A. Riera

We introduce a series of quantities which characterizes a given local operator in conformal field theories from the viewpoint of quantum entanglement. It is defined by the increased amount of (Renyi) entanglement entropy at late time for an…

High Energy Physics - Theory · Physics 2014-03-26 Masahiro Nozaki , Tokiro Numasawa , Tadashi Takayanagi

We study quantum quenches in the two-dimensional Kitaev toric code model and compute exactly the time-dependent entanglement entropy of the non-equilibrium wave-function evolving from a paramagnetic initial state with the toric code…

Statistical Mechanics · Physics 2010-10-21 Armin Rahmani , Claudio Chamon

Entanglement plays a prominent role in the study of condensed matter many-body systems: Entanglement measures not only quantify the possible use of these systems in quantum information protocols, but also shed light on their physics.…

Quantum Physics · Physics 2021-11-02 Shachar Fraenkel , Moshe Goldstein

We discuss further our proposed modification of the Susskind-Horowitz-Polchinski scenario in which black hole entropy goes over to string entropy as one scales the string length scale up and the string coupling constant down, keeping…

High Energy Physics - Theory · Physics 2012-09-25 Bernard S. Kay

Topological entanglement entropy has been regarded as a smoking-gun signature of topological order in two dimensions, capturing the total quantum dimension of the topological particle content. An extrapolation method on cylinders has been…

Strongly Correlated Electrons · Physics 2016-08-29 Liujun Zou , Jeongwan Haah

The $\mathbb{Z}_2\times \mathbb{Z}_2$ heterotic string orbifold yielded a large space of phenomenological three generation models and serves as a testing ground to explore how the Standard Model of particle physics may be incorporated in a…

High Energy Physics - Theory · Physics 2021-11-09 Alon E. Faraggi , Viktor G. Matyas , Benjamin Percival