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We study entanglement entropy for parity-violating (time-reversal breaking) quantum field theories on $\mathbb{R}^{1,2}$ in the presence of a domain wall between two distinct parity-odd phases. The domain wall hosts a 1+1-dimensional…

High Energy Physics - Theory · Physics 2016-04-06 Taylor L. Hughes , Robert G. Leigh , Onkar Parrikar , Srinidhi T. Ramamurthy

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…

High Energy Physics - Theory · Physics 2025-02-28 Lorenzo Bianchi , Andrea Mattiello , Jacopo Sisti

For a generic conformal field theory (CFT) in four dimensions, the scale anomaly dictates that the universal part of entanglement entropy across a sphere ($\mathcal{C}_{\text{univ}}(S^{2})$) is positive. Based on this fact, we explore the…

High Energy Physics - Theory · Physics 2016-12-28 Ali Naseh

The quantum Ising chain of length, L, which is separated into two parts by localized or extended defects is considered at the critical point where scaling of the interface magnetization is non-universal. We measure the entanglement entropy…

Statistical Mechanics · Physics 2013-05-29 Ferenc Iglói , Zsolt Szatmári , Yu-Cheng Lin

We consider the entanglement entropy for the 2D Ising model at the conformal fixed point in the presence of interfaces. More precisely, we investigate the situation where the two subsystems are separated by a defect line that preserves…

High Energy Physics - Theory · Physics 2015-05-25 Enrico M. Brehm , Ilka Brunner

We consider entanglement through permeable interfaces in the c=1 (1+1)-dimensional conformal field theory. We compute the partition functions with the interfaces inserted. By the replica trick, the entanglement entropy is obtained…

High Energy Physics - Theory · Physics 2008-12-18 Kazuhiro Sakai , Yuji Satoh

We show that the dynamics resulting from preparing a one-dimensional quantum system in the ground state of two decoupled parts, then joined together and left to evolve unitarily with a translational invariant Hamiltonian (a local quench),…

Statistical Mechanics · Physics 2009-11-13 Pasquale Calabrese , John Cardy

The entanglement entropy (EE) of quantum systems is often used as a test of low-energy descriptions by conformal field theory (CFT). Here we point out that this is not a reliable indicator, as the EE often shows the same behavior even when…

Strongly Correlated Electrons · Physics 2017-08-02 Pranay Patil , Ying Tang , Emanuel Katz , Anders W. Sandvik

We consider entanglement through permeable junctions of $N$ $(1+1)$-dimensional free boson and free fermion conformal field theories. In the folded picture we constrain the form of the general boundary state. We calculate replicated…

High Energy Physics - Theory · Physics 2017-05-31 Michael Gutperle , John D. Miller

In this letter we show that the R\'enyi entanglement entropy of a region of large size $\ell$ in a one-dimensional critical model whose ground state breaks conformal invariance (such as in those described by non-unitary conformal field…

High Energy Physics - Theory · Physics 2015-06-19 Davide Bianchini , Olalla A. Castro-Alvaredo , Benjamin Doyon , Emanuele Levi , Francesco Ravanini

We derive in detail several universal features in the time evolution of entanglement entropy and other nonlocal observables in quenched holographic systems. The quenches are such that a spatially uniform density of energy is injected at an…

High Energy Physics - Theory · Physics 2014-03-26 Hong Liu , S. Josephine Suh

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…

Statistical Mechanics · Physics 2020-01-08 Noa Feldman , Moshe Goldstein

We study entanglement entropy after a double local quench in two-dimensional conformal field theories (CFTs), with any central charge $c>1$. In the holographic CFT, such a state with double-excitation is dual to an AdS space with two…

High Energy Physics - Theory · Physics 2020-02-19 Yuya Kusuki , Masamichi Miyaji

We study zero-temperature XX chains and transverse Ising chains and join an initially separate finite piece on one or on both sides to an infinite remainder. In both critical and non-critical systems we find a typical increase of the…

Statistical Mechanics · Physics 2009-11-13 V. Eisler , D. Karevski , T. Platini , I. Peschel

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 study a particular type of local quench in a generic quantum critical one-dimensional system, using conformal field theory (CFT) techniques, and providing numerical checks of the results in free fermion systems. The system is initially…

Statistical Mechanics · Physics 2015-03-19 Jean-Marie Stéphan , Jérôme Dubail

Conformal field theory (CFT) has been extremely successful in describing large-scale universal effects in one-dimensional (1D) systems at quantum critical points. Unfortunately, its applicability in condensed matter physics has been limited…

Strongly Correlated Electrons · Physics 2017-02-15 Jérôme Dubail , Jean-Marie Stéphan , Jacopo Viti , Pasquale Calabrese

We study universal features in the shape dependence of entanglement entropy in the vacuum state of a conformal field theory (CFT) on $\mathbb{R}^{1,d-1}$. We consider the entanglement entropy across a deformed planar or spherical entangling…

High Energy Physics - Theory · Physics 2016-04-22 Thomas Faulkner , Robert G. Leigh , Onkar Parrikar

The composite fermion Fermi liquid (CFL) state at $\nu=1/2$ filling of a Landau level is a paradigmatic non-Fermi liquid borne out purely by Coulomb interactions. But in what ways is this exotic state of matter different from a Fermi…

Strongly Correlated Electrons · Physics 2025-03-31 Cristian Voinea , Songyang Pu , Ajit C. Balram , Zlatko Papić

We study the structure of divergences and universal terms of the entanglement and R\'enyi entropies for singular regions. First, we show that for $(3+1)$-dimensional free conformal field theories (CFTs), entangling regions emanating from…

High Energy Physics - Theory · Physics 2019-09-04 Pablo Bueno , Horacio Casini , William Witczak-Krempa