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We study the evolution of entanglement after a global quench in a one-dimensional quantum system with a localized impurity. For systems described by a conformal field theory, the entanglement entropy between the two regions separated by the…

Statistical Mechanics · Physics 2023-04-12 Luca Capizzi , Viktor Eisler

In the framework of Algebraic Quantum Field Theory, several operator algebraic notions of entanglement entropy can be associated with any pair of causally disjoint spacetime regions $\mathcal{S}_A$ and $\mathcal{S}_B$ with positive relative…

Quantum Physics · Physics 2026-01-28 Lorenzo Panebianco , Benedikt Wegener

Possible connections between quantum entanglement and cosmological eras are considered. In particular, assuming that two epochs are each other entangled, by measuring the entanglement degree, it is possible to recover dynamical properties…

General Relativity and Quantum Cosmology · Physics 2015-06-19 S. Capozziello , O. Luongo

In the context of characterizing the structure of quantum entanglement in many-body systems, we introduce the entanglement contour, a tool to identify which real-space degrees of freedom contribute, and how much, to the entanglement of a…

Strongly Correlated Electrons · Physics 2016-11-25 Yangang Chen , Guifre Vidal

We investigate the behavior of entanglement entropy at finite temperature and chemical potential for strongly coupled large-N gauge theories in $d$-dimensions ($d\ge 3$) that are dual to Anti-de Sitter-Reissner-Nordstrom geometries in…

High Energy Physics - Theory · Physics 2018-09-25 Sandipan Kundu , Juan F. Pedraza

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

We review some of the recent progress on the study of entropy of entanglement in many-body quantum systems. Emphasis is placed on the scaling properties of entropy for one-dimensional multi-partite models at quantum phase transitions and,…

Statistical Mechanics · Physics 2015-05-13 J. I. Latorre , A. Riera

We review research on a number of situations where a quantum impurity or a physical boundary has an interesting effect on entanglement entropy. Our focus is mainly on impurity entanglement as it occurs in one dimensional systems with a…

Statistical Mechanics · Physics 2010-05-07 Ian Affleck , Nicolas Laflorencie , Erik S. Sorensen

In this paper, we explore the question of how different gauge choices in a gauge theory affect the tensor product structure of the Hilbert space in configuration space. In particular, we study the Coulomb gauge and observe that the naive…

High Energy Physics - Theory · Physics 2018-03-28 Zhi Yang , Ling-Yan Hung

We review a formulation of the entanglement entropy of a quantum scalar field in terms of its spacetime two-point correlation functions. We discuss applications of this formulation to studying entanglement entropy in various settings in…

High Energy Physics - Theory · Physics 2024-12-06 Yasaman K. Yazdi

We consider the holographic entanglement entropy of $(d+2)$-dimensional semi-local quantum liquids, for which the dual gravity background in the deep interior is $AdS_{2}\times\mathbb{R}^{d}$ multiplied by a warp factor which depends on the…

High Energy Physics - Theory · Physics 2015-06-17 Johanna Erdmenger , Da-Wei Pang , Hansjörg Zeller

Using the AdS/CFT correspondence, we examine entanglement entropy for a boundary theory deformed by a relevant operator and establish two results. The first is that if there is a contribution which is logarithmic in the UV cut-off, then the…

High Energy Physics - Theory · Physics 2012-11-07 Ling-Yan Hung , Robert C. Myers , Michael Smolkin

If gravity is fundamentally quantum, any two quantum particles must get entangled with each other due to their mutual interaction through gravity. This phenomenon, dubbed gravity-mediated entanglement, has led to recent efforts of detecting…

General Relativity and Quantum Cosmology · Physics 2023-11-10 Suddhasattwa Brahma , Abhinove Nagarajan Seenivasan

The $1+1$ dimensional $Z_2$ gauge theory is the simplest model that allows for quantum computation or quantum simulation to probe the fundamental aspects of a gauge theory coupled with dynamical fermions. To reliably benchmark such a…

We review studies of entanglement entropy in systems with quenched randomness, concentrating on universal behavior at strongly random quantum critical points. The disorder-averaged entanglement entropy provides insight into the quantum…

Disordered Systems and Neural Networks · Physics 2015-05-13 Gil Refael , Joel E. Moore

We revisit the issue of defining the entropy of a spatial region in a broad class of quantum theories. In theories with explicit regularizations, working within an elementary but general algebraic framework applicable to matter and gauge…

High Energy Physics - Theory · Physics 2018-09-18 Jennifer Lin , Djordje Radicevic

A charged entanglement entropy is a new measure which probes quantum entanglement between different charge sectors. We study symmetry protected topological (SPT) phases in 2+1 dimensional space-time by using this charged entanglement…

Strongly Correlated Electrons · Physics 2016-05-11 Shunji Matsuura , Xueda Wen , Ling-Yan Hung , Shinsei Ryu

Calculations of the entanglement entropy of a spatial region in continuum quantum field theory require boundary conditions on the fields at the fictitious boundary of the region. These boundary conditions impact the treatment of the zero…

High Energy Physics - Theory · Physics 2016-12-28 Ben Michel , Mark Srednicki

We consider the large $N$ interacting vector $O(N)$ model on a sphere in $4-\epsilon$ Euclidean dimensions. The Gaussian theory in the UV is taken to be either conformally or non-conformally coupled. The endpoint of the RG flow corresponds…

High Energy Physics - Theory · Physics 2016-03-23 Chris Akers , Omer Ben-Ami , Vladimir Rosenhaus , Michael Smolkin , Shimon Yankielowicz

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