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The entanglement entropy of a noninteracting fermionic system confined to a two-dimensional honeycomb lattice on a torus is calculated. We find that the entanglement entropy can characterize Lifshitz phase transitions without a local order…

Strongly Correlated Electrons · Physics 2015-02-09 Wen-Long You

We extend the entanglement entropy calculation performed in the seminal paper by Srednicki for free real massive scalar field theories in 1+1, 2+1 and 3+1 dimensions. We show that the inverse of the scalar field mass can be used as an…

High Energy Physics - Theory · Physics 2018-04-10 Dimitrios Katsinis , Georgios Pastras

Using holography, we study the entanglement entropy of strongly coupled field theories perturbed by operators that trigger an RG flow from a conformal field theory in the ultraviolet (UV) to a new theory in the infrared (IR). The…

High Energy Physics - Theory · Physics 2012-02-28 Tameem Albash , Clifford V. Johnson

We consider $p$-dimensional defects in $D$-dimensional conformal field theories (CFTs) and construct defect localized entropy by performing Casini-Huerta-Myers transformation for the system with defect. The defect localized entropy is a…

High Energy Physics - Theory · Physics 2023-07-21 Ma-Ke Yuan , Yang Zhou

We study entanglement entropy on the fuzzy sphere. We calculate it in a scalar field theory on the fuzzy sphere, which is given by a matrix model. We use a method that is based on the replica method and applicable to interacting fields as…

High Energy Physics - Theory · Physics 2016-06-21 Shizuka Okuno , Mariko Suzuki , Asato Tsuchiya

We consider the reconstruction of a Lifshitz spacetime from three perspectives: differential entropy (or "hole-ography"), causal wedges and entanglement wedges. We find that not all time-varying bulk curves in vacuum Lifshitz can be…

High Energy Physics - Theory · Physics 2016-05-04 Simon A. Gentle , Cynthia Keeler

The entanglement entropy correlates two quantum sub-systems which are the part of the larger system. A logarithmic divergence term present in the entanglement entropy is universal in nature and directly proportional to the conformal…

High Energy Physics - Theory · Physics 2016-10-19 Dharm Veer Singh , Shobhit Sachan

We derive the geodesic equation for determining the Ryu-Takayanagi surface in $AdS_3$ deformed by single trace $\mu T \bar T + \varepsilon_+ J \bar T + \varepsilon_- T \bar J$ deformation for generic values of $(\mu, \varepsilon_+,…

High Energy Physics - Theory · Physics 2021-03-17 Soumangsu Chakraborty , Akikazu Hashimoto

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

In this work, we explore the holographic entanglement entropy with an infinite strip region of the boundary in Horndeski gravity. In our prescription we consider the spherically and planar topologies black holes in the AdS$_{4}$/CFT$_{3}$…

High Energy Physics - Theory · Physics 2022-02-23 F. F. Santos

A Vaidya type geometry describing gravitation collapse in asymptotically Lifshitz spacetime with hyperscaling violation provides a simple holographic model for thermalization near a quantum critical point with non-trivial dynamic and…

High Energy Physics - Theory · Physics 2014-08-15 Piermarco Fonda , Lasse Franti , Ville Keranen , Esko Keski-Vakkuri , Larus Thorlacius , Erik Tonni

In this paper we discuss behaviors of entanglement entropy between two interacting CFTs and its holographic interpretation using the AdS/CFT correspondence. We explicitly perform analytical calculations of entanglement entropy between two…

High Energy Physics - Theory · Physics 2015-06-19 Ali Mollabashi , Noburo Shiba , Tadashi Takayanagi

In three dimensions, the pure Maxwell theory with compact U(1) gauge group is dual to a free compact scalar, and flows from the Maxwell theory with non-compact gauge group in the ultraviolet to a non-compact free massless scalar theory in…

High Energy Physics - Theory · Physics 2014-02-05 Cesar A. Agon , Matthew Headrick , Daniel L. Jafferis , Skyler Kasko

We present some exact results about universal quantities derived from the local density matrix, for a free massive Dirac field in two dimensions. We first find the trace of powers of the density matrix in a novel fashion, which involves the…

Other Condensed Matter · Physics 2011-02-16 H. Casini , C. D. Fosco , M. Huerta

We study the holographic entanglement entropy of an interval in a quantum field theory obtained by deforming a holographic two-dimensional conformal field theory via a general linear combination of irrelevant operators that are closely…

High Energy Physics - Theory · Physics 2020-10-28 Meseret Asrat

We evaluate the entanglement entropy of a non-minimal coupling Einstein-scalar theory with two approaches in classical Euclidean gravity. By analysing the equation of motion, we find that the entangled surface is restricted to be a minimal…

High Energy Physics - Theory · Physics 2016-06-29 Bing Sun , Weizhen Jia , Xingyang Yu

We explore the behaviour of renormalized entanglement entropy in a variety of holographic models: non-conformal branes; the Witten model for QCD; UV conformal RG flows driven by explicit and spontaneous symmetry breaking and Schr\"odinger…

High Energy Physics - Theory · Physics 2018-02-14 Marika Taylor , William Woodhead

We study the reflected entropy in $(1+1)$--dimensional Lifshitz field theory whose groundstate is described by a quantum mechanical model. Starting from tripartite Lifshitz groundstates, both critical and gapped, we derive explicit formulas…

High Energy Physics - Theory · Physics 2023-10-04 Clément Berthiere , Bin Chen , Hongjie Chen

We investigate the entanglement entropy of a massive scalar field nonminimally coupled to spacetime curvature, assuming a static, spherically symmetric background. We discretize the field Hamiltonian by introducing a lattice of spherical…

General Relativity and Quantum Cosmology · Physics 2025-02-24 Alessio Belfiglio , Orlando Luongo , Stefano Mancini

We study the information content of the reduced density matrix of a region in quantum field theory that cannot be recovered from its subregion density matrices. We reconstruct the density matrix from its subregions using two approaches:…

High Energy Physics - Theory · Physics 2019-01-30 Nima Lashkari