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Related papers: Multi-entropy at low Renyi index in 2d CFTs

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In the presence of a sharp corner in the boundary of the entanglement region, the entanglement entropy (EE) and Renyi entropies for 3d CFTs have a logarithmic term whose coefficient, the corner function, is scheme-independent. In the limit…

High Energy Physics - Theory · Physics 2015-08-12 Henriette Elvang , Marios Hadjiantonis

In this paper we investigate the holographic R\'enyi entropy of two disjoint intervals on complex plane with small cross ratio $x$ for conformal field theory with $W$ symmetry in the ground state, which could be dual to a higher spin…

High Energy Physics - Theory · Physics 2014-05-20 Bin Chen , Jiang Long , Jia-ju Zhang

In this note, we consider entanglement and Renyi entropies for spatial subsystems of a boundary conformal field theory (BCFT) or of a CFT in a state constructed using a Euclidean BCFT path integral. Holographic calculations suggest that…

High Energy Physics - Theory · Physics 2021-03-31 James Sully , Mark Van Raamsdonk , David Wakeham

Similarly to the system Hamiltonian, a subsystem's reduced density matrix is composed of blocks characterized by symmetry quantum numbers (charge sectors). We present a geometric approach for extracting the contribution of individual charge…

Statistical Mechanics · Physics 2018-05-17 Moshe Goldstein , Eran Sela

In this work, we study the real-time evolution of pseudo-(R\'enyi) entropy, a generalization of entanglement entropy, in two-dimensional conformal field theories (CFTs). We focus on states obtained by acting primary operators located at…

High Energy Physics - Theory · Physics 2022-09-28 Wu-zhong Guo , Song He , Yu-Xuan Zhang

We investigate boundary critical phenomena from a quantum information perspective. Bipartite entanglement in the ground state of one-dimensional quantum systems is quantified using the Renyi entropy S_alpha, which includes the von Neumann…

Strongly Correlated Electrons · Physics 2007-05-23 Huan-Qiang Zhou , Thomas Barthel , John Ove Fjaerestad , Ulrich Schollwoeck

We mainly study the R\'enyi entropy and entanglement entropy of the states locally excited by the descendent operators in two dimensional conformal field theories (CFTs). In rational CFTs, we prove that the increase of entanglement entropy…

High Energy Physics - Theory · Physics 2015-08-10 Bin Chen , Wu-Zhong Guo , Song He , Jie-qiang Wu

According to Ryu and Takayanagi, 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 study this holographic geometrical method of…

High Energy Physics - Theory · Physics 2018-07-18 Pavel Krtous , Andrei Zelnikov

We consider the problem of computing semi-classical R\'enyi entropies of CFT on AdS$_2$ backgrounds in JT gravity with nongravitating baths, for general replica number $n$. Away from the $n\to 1$ limit, the backreaction of the CFT twist…

High Energy Physics - Theory · Physics 2024-06-25 Timothy J. Hollowood , S. Prem Kumar , Luke C. Piper

Entropy is a natural geometric quantity measuring the complexity of a surface embedded in $\mathbb{R}^3$. For dynamical reasons relating to mean curvature flow, Colding-Ilmanen-Minicozzi-White conjectured that the entropy of any closed…

Differential Geometry · Mathematics 2015-09-22 Daniel Ketover , Xin Zhou

We present a detailed discussion of entanglement entropy in (1+1)-dimensional Warped Conformal Field Theories (WCFTs). We implement the Rindler method to evaluate entanglement and Renyi entropies for a single interval and along the way we…

High Energy Physics - Theory · Physics 2017-01-19 Alejandra Castro , Diego M. Hofman , Nabil Iqbal

We introduce new tools for studying modular flow in AdS/CFT. These tools allow us to efficiently extract bulk information related to causality and locality. For example, we discuss the relation between analyticity in modular time and…

High Energy Physics - Theory · Physics 2019-05-22 Thomas Faulkner , Min Li , Huajia Wang

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

Entropy is a fundamental concept in equilibrium statistical mechanics, yet its origin in the non-equilibrium dynamics of isolated quantum systems is not fully understood. A strong consensus is emerging around the idea that the stationary…

Statistical Mechanics · Physics 2017-09-20 Vincenzo Alba , Pasquale Calabrese

We extend previous work on the perturbative expansion of the Renyi entropy, $S_q$, around $q=1$ for a spherical entangling surface in a general CFT. Applied to conformal scalar fields in various spacetime dimensions, the results appear to…

High Energy Physics - Theory · Physics 2015-06-22 Jeongseog Lee , Aitor Lewkowycz , Eric Perlmutter , Benjamin R. Safdi

We investigate the universal information contained in the Renyi entanglement entropies for a free massless Dirac fermion in three spatial dimensions. Using numerical calculations on the lattice, we examine the case where the entangling…

Strongly Correlated Electrons · Physics 2019-05-08 Grigory Bednik , Lauren E. Hayward Sierens , Minyong Guo , Robert C. Myers , Roger G. Melko

In this work we study the time evolution of Renyi entanglement entropy for locally excited states created by twist operators in cyclic orbifold $(T^2)^n/\mathbb{Z}_n$ and symmetric orbifold $(T^2)^n/S_n$. We find that when the square of its…

High Energy Physics - Theory · Physics 2017-05-30 Pawel Caputa , Yuya Kusuki , Tadashi Takayanagi , Kento Watanabe

In a recent article T. Grover [Phys. Rev. Lett. 111, 130402 (2013)] introduced a simple method to compute Renyi entanglement entropies in the realm of the auxiliary field quantum Monte Carlo algorithm. Here, we further develop this approach…

Strongly Correlated Electrons · Physics 2014-03-26 Fakher F. Assaad , Thomas C. Lang , Francesco Parisen Toldin

In this paper we compute the leading correction to the bipartite entanglement entropy at large sub-system size, in integrable quantum field theories with diagonal scattering matrices. We find a remarkably universal result, depending only on…

High Energy Physics - Theory · Physics 2011-01-27 J. L. Cardy , O. A. Castro-Alvaredo , B. Doyon

We give a recipe for computing correlation functions of the displacement operator localized on a spherical or planar higher dimensional twist defect using AdS/CFT. Such twist operators are typically used to construct the $n$'th Renyi…

High Energy Physics - Theory · Physics 2017-09-06 Srivatsan Balakrishnan , Souvik Dutta , Thomas Faulkner
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