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Related papers: Entanglement negativity, reflected entropy, and an…

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We study odd entanglement entropy (odd entropy in short), a candidate of measure for mixed states holographically dual to the entanglement wedge cross section, in two-dimensional free scalar field theories. Our study is restricted to…

High Energy Physics - Theory · Physics 2020-12-02 Ali Mollabashi , Kotaro Tamaoka

We extend the reflected entropy to the bipartite state in a two dimensional Galilean conformal field theory ($GCFT_2$) which is dual to the asymptotically flat spacetime described by the generalized minimal massive gravity (GMMG). To this…

High Energy Physics - Theory · Physics 2022-01-28 M. R. Setare , M. Koohgard

Recent studies have demonstrated that measures of tripartite entanglement can probe data characterizing topologically ordered phases to which bipartite entanglement is insensitive. Motivated by these observations, we compute the reflected…

Strongly Correlated Electrons · Physics 2023-07-10 Ramanjit Sohal , Shinsei Ryu

We study the reflected entropy between two spatial regions in $(2+1)$-dimensional Chern-Simons theories. Taking advantage of its replica trick formulation, the reflected entropy is computed using the edge theory approach and the surgery…

High Energy Physics - Theory · Physics 2021-02-03 Clément Berthiere , Hongjie Chen , Yuefeng Liu , Bin Chen

In this paper we study the entanglement entropy in the CFT$_2$, whose gravity dual is AdS$_3$ spacetime with a Chern-Simons term. Using the generalized Rindler method, we obtain the Rindler transformation in the two-dimensional planar CFT…

High Energy Physics - Theory · Physics 2023-11-23 Peng-Zhang He , Hai-Qing Zhang

We advance a construction for the covariant holographic entanglement negativity for time dependent mixed states of disjoint intervals in $(1+1)$ dimensional conformal field theories ($CFT_{1+1}$) dual to bulk non static $AdS_3$ geometries.…

High Energy Physics - Theory · Physics 2019-07-16 Vinay Malvimat , Sayid Mondal , Boudhayan Paul , Gautam Sengupta

We propose entanglement negativity as a fine-grained probe of measurement-induced criticality. We motivate this proposal in stabilizer states, where for two disjoint subregions, comparing their "mutual negativity" and their mutual…

Statistical Mechanics · Physics 2021-07-28 Shengqi Sang , Yaodong Li , Tianci Zhou , Xiao Chen , Timothy H. Hsieh , Matthew P. A. Fisher

We obtain the reflected entropy for bipartite states in a class of $(1+1)$-dimensional Galilean conformal field theories ($GCFT_{1+1}$) through a replica technique. Furthermore we compare our results with the entanglement wedge cross…

High Energy Physics - Theory · Physics 2022-12-27 Jaydeep Kumar Basak , Himanshu Chourasiya , Vinayak Raj , Gautam Sengupta

We investigate the reflected entropy for bipartite mixed state configurations in a $T\bar{T}$ deformed boundary conformal field theory in $2$ dimensions (BCFT$_2$). The bulk dual is described by asymptotically AdS$_3$ geometries with the…

High Energy Physics - Theory · Physics 2025-07-01 Debarshi Basu , Himanshu Chourasiya , Ankur Dey , Vinayak Raj

We establish the large central charge behaviour of the entanglement negativity for a mixed state configuration of a single interval enclosed between two intervals in a holographic $CFT_{1+1}$. To this end we utilize the monodromy technique…

High Energy Physics - Theory · Physics 2021-05-12 Vinay Malvimat , Gautam Sengupta

We propose a holographic entanglement negativity conjecture involving the bulk geometry, for mixed states of adjacent intervals in $(1+1)$-dimensional dual conformal field theories through the $AdS/CFT$ correspondence. The holographic…

High Energy Physics - Theory · Physics 2019-04-26 Parul Jain , Vinay Malvimat , Sayid Mondal , Gautam Sengupta

We introduce a new class of quantum and classical correlation measures by generalizing the reflected entropy to multipartite states. We define the new measures for quantum systems in one spatial dimension. For quantum systems having gravity…

High Energy Physics - Theory · Physics 2020-03-27 Jinwei Chu , Runze Qi , Yang Zhou

The entanglement negativity $\mathcal{E}(A:B)$ is a useful measure of quantum entanglement in bipartite mixed states. In random tensor networks (RTNs), which are related to fixed-area states, it was found in [arXiv:2101.11029] that the…

High Energy Physics - Theory · Physics 2025-07-21 Xi Dong , Jonah Kudler-Flam , Pratik Rath

In this article, we investigate the entanglement structure of bipartite mixed states in (1+1)-dimensional boundary conformal field theories (BCFT$_2$s) through the odd entanglement entropy (OEE) by employing an appropriate replica…

High Energy Physics - Theory · Physics 2023-10-18 Anjali Kumari , Vinayak Raj , Gautam Sengupta

We study various holographic pure and mixed state entanglement measures in the confined/deconfined phases of a bottom-up AdS/QCD model in the presence of a background magnetic field. We analyse the entanglement entropy, entanglement wedge…

High Energy Physics - Theory · Physics 2023-05-10 Parul Jain , Siddhi Swarupa Jena , Subhash Mahapatra

The holographic description in the presence of gravitational Chern-Simons term is studied. The modified gravitational equations are integrated by using the Fefferman-Graham expansion and the holographic stress-energy tensor is identified.…

High Energy Physics - Theory · Physics 2008-11-26 Sergey N. Solodukhin

The holographic representation of the entanglement entropy of four dimensional conformal field theories is studied. By generalizing the replica trick the anomalous terms in the entanglement entropy are evaluated. The same terms in the…

High Energy Physics - Theory · Physics 2008-11-26 A. Schwimmer , S. Theisen

We use the entanglement negativity, a measure of entanglement for mixed states, to probe the structure of entanglement in the ground state of a topologically ordered system. Through analytical calculations of the negativity in the ground…

Quantum Physics · Physics 2015-06-16 Yirun Arthur Lee , Guifre Vidal

In Conformal Field Theories with a gravitational AdS dual it is possible to calculate the entanglement entropy of a region $A$ holographically by using the Ryu-Takayanagi formula. In this work we consider systems that are in a pure state…

High Energy Physics - Theory · Physics 2015-07-06 Stefano Giusto , Rodolfo Russo

In an attempt to find a quasi-local measure of quantum entanglement, we introduce the concept of entanglement density in relativistic quantum theories. This density is defined in terms of infinitesimal variations of the region whose…

High Energy Physics - Theory · Physics 2015-05-27 Jyotirmoy Bhattacharya , Veronika E. Hubeny , Mukund Rangamani , Tadashi Takayanagi