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We study the holographic entanglement entropy of deformed entangling regions in three-dimensional CFTs dual to Einstein-AdS gravity, using a renormalization scheme based on the addition of extrinsic counterterms. In this prescription, when…

High Energy Physics - Theory · Physics 2020-10-28 Giorgos Anastasiou , Javier Moreno , Rodrigo Olea , David Rivera-Betancour

We consider linear superpositions of single particle excitations in a scalar field theory on $AdS_3$ and evaluate their contribution to the bulk entanglement entropy across the Ryu-Takayanagi surface. We compare the entanglement entropy of…

High Energy Physics - Theory · Physics 2024-05-03 Barsha G. Chowdhury , Justin R. David , Semanti Dutta , Jyotirmoy Mukherjee

In this work, we compute the entanglement entropy in continuous icMERA tensor networks for large $N$ models at strong coupling. Our results show that the $1/N$ quantum corrections to the Fisher information metric (interpreted as a local…

High Energy Physics - Theory · Physics 2022-04-07 Jose J. Fernandez-Melgarejo , Javier Molina-Vilaplana

We study shape-deformations of the entanglement entropy and the modular Hamiltonian for an arbitrary subregion and state (with a smooth dual geometry) in a holographic conformal field theory. More precisely, we study a double-deformation…

High Energy Physics - Theory · Physics 2018-07-04 Aitor Lewkowycz , Onkar Parrikar

We consider fine-grained probes of the entanglement structure of two dimensional conformal field theories deformed by the irrelevant double-trace operator $T\bar{T}$ and its closely related but nonetheless distinct single-trace counterpart.…

High Energy Physics - Theory · Physics 2020-08-18 Meseret Asrat , Jonah Kudler-Flam

Quantum gravity in a finite region of spacetime is conjectured to be dual to a conformal field theory deformed by the irrelevant operator $T \overline{T}$. We test this conjecture with entanglement entropy, which is sensitive to ultraviolet…

High Energy Physics - Theory · Physics 2018-10-03 William Donnelly , Vasudev Shyam

The Ryu-Takayanagi prescription reduces the problem of calculating entanglement entropy in CFTs to the determination of minimal surfaces in a dual anti-de Sitter geometry. For 3D gravity theories and BTZ black holes, we identify the minimal…

High Energy Physics - Theory · Physics 2017-09-19 I. Bakhmatov , N. S. Deger , J. Gutowski , E. Ó Colgáin , H. Yavartanoo

Tensor networks provide a natural framework for exploring holographic duality because they obey entanglement area laws. They have been used to construct explicit toy models realizing many interesting structural features of the AdS/CFT…

High Energy Physics - Theory · Physics 2016-11-07 Patrick Hayden , Sepehr Nezami , Xiao-Liang Qi , Nathaniel Thomas , Michael Walter , Zhao Yang

The Ryu-Takayanagi formula directly connects quantum entanglement and geometry. Yet the assumption of static geometry lead to an exponentially small mutual information between far-separated disjoint regions, which does not hold in many…

High Energy Physics - Theory · Physics 2023-05-17 Jonathan Lam , Yi-Zhuang You

In the context of holographic duality with AdS3 asymptotics, the Ryu-Takayanagi formula states that the entanglement entropy of a subregion is given by the length of a certain bulk geodesic. The entanglement entropy can be operationalized…

High Energy Physics - Theory · Physics 2016-04-05 Bartlomiej Czech , Patrick Hayden , Nima Lashkari , Brian Swingle

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…

High Energy Physics - Theory · Physics 2014-05-05 Gabriel Wong , Israel Klich , Leopoldo A. Pando Zayas , Diana Vaman

We explore holographic entanglement entropy for Minkowski spacetime in three and four dimensions. Under some general assumptions on the putative holographic dual, the entanglement entropy associated to a special class of subregions can be…

High Energy Physics - Theory · Physics 2019-12-10 Victor Godet , Charles Marteau

We propose an analogue of the Ryu-Takayanagi formula for holographic entanglement entropy applicable to non-relativistic holographic dualities involving Horava gravity. This is a powerful tool for the duality to have, as topological order…

High Energy Physics - Theory · Physics 2017-07-27 Stefan Janiszewski

We study the entanglement entropy of a general region in a theory of induced gravity using holographic calculations. In particular we use holographic entanglement entropy prescription of Ryu-Takayanagi in the context of the Randall-Sundrum…

High Energy Physics - Theory · Physics 2015-06-19 Razieh Pourhasan

We enumerate the cases in 2d conformal field theory where the logarithm of the reduced density matrix (the entanglement or modular hamiltonian) may be written as an integral over the energy-momentum tensor times a local weight. These…

Statistical Mechanics · Physics 2017-01-19 John Cardy , Erik Tonni

We provide a gravitational argument in favour of the covariant holographic entanglement entropy proposal. In general time-dependent states, the proposal asserts that the entanglement entropy of a region in the boundary field theory is given…

High Energy Physics - Theory · Physics 2016-11-22 Xi Dong , Aitor Lewkowycz , Mukund Rangamani

Progress in identifying the bulk microstate interpretation of the Ryu-Takayanagi formula requires understanding how to define entanglement entropy in the bulk closed string theory. Unfortunately, entanglement and Hilbert space factorization…

High Energy Physics - Theory · Physics 2020-11-17 William Donnelly , Yikun Jiang , Manki Kim , Gabriel Wong

We review the conformal field theory approach to entanglement entropy. We show how to apply these methods to the calculation of the entanglement entropy of a single interval, and the generalization to different situations such as finite…

Statistical Mechanics · Physics 2009-12-08 Pasquale Calabrese , John Cardy

In the last decades, it has been understood that a wide variety of phenomena in quantum field theory (QFT) can be characterised using quantum information measures, such as the entanglement entropy of a state and the relative entropy between…

High Energy Physics - Theory · Physics 2017-02-27 David Blanco

In this article we investigate aspects of entanglement entropy and mutual information in a large-N strongly coupled noncommutative gauge theory, both at zero and at finite temperature. Using the gauge-gravity duality and the Ryu-Takayanagi…

High Energy Physics - Theory · Physics 2014-01-29 Willy Fischler , Arnab Kundu , Sandipan Kundu