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We develop a new setting in the framework of braneworld holography to describe a pair of coupled and entangled uniformly accelerated universes. The model consists of two branes embedded into AdS space capping off the UV and IR regions,…

High Energy Physics - Theory · Physics 2023-11-07 Sergio E. Aguilar-Gutierrez , Ayan K. Patra , Juan F. Pedraza

We introduce a holographic framework for the entanglement Hamiltonian in symmetry-protected topological (SPT) phases with area-law entanglement, whose reduced density matrix $\rho \propto e^{-H_e}$ can be treated as a lower-dimensional…

Strongly Correlated Electrons · Physics 2025-06-30 Pablo Sala , Frank Pollmann , Masaki Oshikawa , Yizhi You

Defining finite entanglement entropy for a subregion in quantum field theory requires the introduction of two logically independent scales: an IR scale that controls the size of the subregion, and a UV cut-off. In AdS/CFT, the IR scale is…

High Energy Physics - Theory · Physics 2024-05-30 Abir Ghosh , Chethan Krishnan

Double holography has been proved to be a powerful method in comprehending the spacetime entanglement. In this paper we investigate the doubly holographic construction in ${\mathrm{dS_{2}} }$ spacetime. We find that in this model there…

High Energy Physics - Theory · Physics 2025-02-13 Wen-Hao Jiang , Cheng Peng , Yun-Song Piao

In this paper, we study the entanglement entropy between two SYK systems with bilinear coupling. We use the replica trick to calculate the entanglement entropy in the ground state. In parallel, we calculate the entanglement entropy through…

High Energy Physics - Theory · Physics 2019-07-24 Yiming Chen , Pengfei Zhang

It was proposed by Ryu and Takayanagi that 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 apply this holographic geometrical method of…

High Energy Physics - Theory · Physics 2014-06-11 Pavel Krtous , Andrei Zelnikov

In the context of the Bank-Fishler-Shenker-Susskind Matrix theory, we analyze a spherical membrane in light-cone M theory along with two asymptotically distant probes. In the appropriate energy regime, we find that the membrane behaves like…

High Energy Physics - Theory · Physics 2018-12-31 Vatche Sahakian , Yossathorn Tawabutr , Cynthia Yan

A holographic dual description of inhomogeneous systems is discussed. Notably, finite temperature results for the entanglement entropy in both the rainbow chain and the SSD model are obtained holographically by choosing appropriate…

Strongly Correlated Electrons · Physics 2020-01-08 Ian MacCormack , Aike Liu , Masahiro Nozaki , Shinsei Ryu

We derive dynamics of the entanglement wedge cross section directly from the two-dimensional holographic CFTs with a local operator quench. This derivation is based on the reflected entropy, a correlation measure for mixed states. We…

High Energy Physics - Theory · Physics 2021-03-17 Yuya Kusuki , Kotaro Tamaoka

We extend a recent de Sitter holographic proposal and entanglement entropy prescription to generic closed FRW cosmologies in arbitrary dimensions, and propose that for large classes of bouncing and Big Bang/Big Crunch cosmologies, the full…

High Energy Physics - Theory · Physics 2024-05-28 Victor Franken , Hervé Partouche , François Rondeau , Nicolaos Toumbas

Boundary correlation functions provide insight into the emergence of an effective geometry in higher spin gravity duals of O(N) or U(N) symmetric field theories. On a compact manifold, the singlet constraint leads to nontrivial dynamics at…

High Energy Physics - Theory · Physics 2017-03-08 Irene Amado , Bo Sundborg , Larus Thorlacius , Nico Wintergerst

In this paper we use the method of generalized gravitational entropy in \cite{Lewkowycz:2013nqa} to construct the dual bulk geometry for a spherical entangling surface, and calculate the R\'enyi entropy with the dual bulk gravity theory…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Wu-zhong Guo , Miao Li

We discuss relevant scalar deformations of a holographic theory with a compact boundary. An example of such a theory would be the global AdS$_4$ with its spatially compact boundary $S^2$. To introduce a relevant deformation, we choose to…

High Energy Physics - Theory · Physics 2021-12-16 Pallab Basu , Pranav Kumar , Chuene Mosomane

We use the conformal invariance and the holographic correspondence to fully specify the dependence of entanglement entropy on the extrinsic geometry of the 2d surface $\Sigma$ that separates two subsystems of quantum strongly coupled…

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

We generalize the topological entanglement entropy to a family of topological Renyi entropies parametrized by a parameter alpha, in an attempt to find new invariants for distinguishing topologically ordered phases. We show that,…

Strongly Correlated Electrons · Physics 2010-01-05 Steven T. Flammia , Alioscia Hamma , Taylor L. Hughes , Xiao-Gang Wen

We construct a new class of entanglement measures by extending the usual definition of Renyi entropy to include a chemical potential. These charged Renyi entropies measure the degree of entanglement in different charge sectors of the theory…

High Energy Physics - Theory · Physics 2015-06-17 Alexandre Belin , Ling-Yan Hung , Alexander Maloney , Shunji Matsuura , Robert C. Myers , Todd Sierens

Ryu and Takayanagi conjectured a formula for the entanglement (von Neumann) entropy of an arbitrary spatial region in an arbitrary holographic field theory. The von Neumann entropy is a special case of a more general class of entropies…

High Energy Physics - Theory · Physics 2013-01-04 Matthew Headrick

The entanglement entropy of a subsystem $A$ of a quantum system is expressed, in the replica method, through analytic continuation with respect to n of the trace of the n-th power of the reduced density matrix $\tr\rho_A^n$. We study the…

Statistical Mechanics · Physics 2010-03-25 F. Gliozzi , L. Tagliacozzo

We extend the approach of Casini, Huerta and Myers to a new calculation of the Renyi entropy of a general CFT in d dimensions with a spherical entangling surface, in terms of certain thermal partition functions. We apply this approach to…

High Energy Physics - Theory · Physics 2012-11-07 Janet Hung , Robert C. Myers , Michael Smolkin , Alexandre Yale

We use a mix of field theoretic and holographic techniques to elucidate various properties of quantum entanglement entropy. In (3+1)-dimensional conformal field theory we study the divergent terms in the entropy when the entangling surface…

High Energy Physics - Theory · Physics 2012-07-13 Igor R. Klebanov , Tatsuma Nishioka , Silviu S. Pufu , Benjamin R. Safdi