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200 papers

This review focuses on the field of quantum entanglement applied to condensed matter physics systems with strong correlations, a domain which has rapidly grown over the last decade. By tracing out part of the degrees of freedom of…

Strongly Correlated Electrons · Physics 2016-08-11 Nicolas Laflorencie

Using the AdS/CFT correspondence, we probe the scale-dependence of thermalization in strongly coupled field theories following a quench, via calculations of two-point functions, Wilson loops and entanglement entropy in d=2,3,4. In the…

We study the dependence of the entanglement entropy with a magnetic flux, and show that the former quantity witnesses an Aharonov Bohm-like effect. In particular, we consider free charged scalar and Dirac fields living on a two dimensional…

High Energy Physics - Theory · Physics 2015-03-23 Raúl E. Arias , David D. Blanco , Horacio Casini

Using the Schwarzschild coordinate frame for a static cyclic symmetric metric in 2 + 1 Einstein gravity coupled to a electric Maxwell field and a dilaton logarithmically depending on the radial coordinate in the presence of an exponential…

General Relativity and Quantum Cosmology · Physics 2014-12-19 A. A. Garcia-Diaz , G. Gutierrez Cano

The degrees of freedom of any interacting quantum field theory are entangled in momentum space. Thus, in the vacuum state, the infrared degrees of freedom are described by a density matrix with an entanglement entropy. We derive a relation…

High Energy Physics - Theory · Physics 2013-05-30 Vijay Balasubramanian , Michael B. McDermott , Mark Van Raamsdonk

To produce a fermionic model exhibiting an entanglement entropy volume law, we propose a particular version of nonlocality in which the energy-momentum dispersion relation is effectively randomized at the shortest length scales while…

Quantum Physics · Physics 2019-07-31 G. C. Levine

We develop a novel real-time approach to computing the entanglement between spatial regions for Gaussian states in quantum field theory. The entanglement entropy is characterized in terms of local correlation functions on space-like Cauchy…

High Energy Physics - Theory · Physics 2018-05-23 Jürgen Berges , Stefan Floerchinger , Raju Venugopalan

We study the entanglement entropy of connected bipartitions in free fermion gases of N particles in arbitrary dimension d. We show that the von Neumann and Renyi entanglement entropies grow asymptotically as N^(1-1/d) ln N, with a prefactor…

Quantum Gases · Physics 2015-06-03 Pasquale Calabrese , Mihail Mintchev , Ettore Vicari

Fast magnetic reconnection is defined by the topology of the magnetic field lines changing on a timescale that is approximately an order of magnitude longer than the topology-conserving ideal-evolution timescale. Fast reconnection is an…

Plasma Physics · Physics 2022-05-18 Allen H Boozer

We investigate the behavior of the entanglement entropy of a confining gauge theory near cosmological singularities using gauge/gravity duality. As expected, the coefficients of the UV divergent terms are given by simple geometric…

High Energy Physics - Theory · Physics 2017-07-26 Netta Engelhardt , Gary T. Horowitz

We study the spreading of entanglement produced by the time evolution of a local fermionic excitation created above the ground state of the XXZ chain. The resulting entropy profiles are investigated via density-matrix renormalization group…

Statistical Mechanics · Physics 2021-01-13 Matthias Gruber , Viktor Eisler

A dispersive medium becomes entangled with zero-point fluctuations in the vacuum. We consider an arbitrary array of material bodies weakly interacting with a quantum field and compute the quantum mutual information between them. It is shown…

Quantum Physics · Physics 2015-06-08 Mohammad F. Maghrebi , Homer Reid

We derive some of the axioms of the algebraic theory of anyon [A. Kitaev, Ann. Phys., 321, 2 (2006)] from a conjectured form of entanglement area law for two-dimensional gapped systems. We derive the fusion rules of topological charges and…

Strongly Correlated Electrons · Physics 2020-06-11 Bowen Shi , Kohtaro Kato , Isaac H. Kim

We consider a multi-dimensional continuum Schr\"odinger operator which is given by a perturbation of the negative Laplacian by a compactly supported potential. We establish both an upper and a lower bound on the bipartite entanglement…

Mathematical Physics · Physics 2021-03-03 Peter Müller , Ruth Schulte

The vacuum entanglement entropy of Maxwell theory, when evaluated by standard methods, contains an unexpected term with no known statistical interpretation. We resolve this two-decades old puzzle by showing that this term is the…

High Energy Physics - Theory · Physics 2016-03-24 William Donnelly , Aron C. Wall

We consider a conformal field theory in two dimensions in which an external perturbation is placed. We study the energy flux and entanglement entropy for one, two and multiple intervals and give a suggestion relating the two in some cases.…

High Energy Physics - Theory · Physics 2017-11-01 Talya Vaknin

Quantum fluctuations of local quantities can be a direct signature of entanglement in an extended quantum many-body system. Hence they may serve as a theoretical (as well as an experimental) tool to detect the spatial properties of the…

Quantum Gases · Physics 2017-05-24 Irénée Frérot , Tommaso Roscilde

We study the entanglement entropy, the R\'enyi entropy, and the mutual (R\'enyi) information of Dirac fermions on a 2 dimensional torus in the presence of constant gauge fields. We derive their general formulas using the equivalence between…

High Energy Physics - Theory · Physics 2018-08-31 Bom Soo Kim

The problem of noninteracting electrons in the presence of annealed magnetic disorder, in addition to nonmagnetic quenched disorder, is considered. It is shown that the proper physical interpretation of this model is one of electrons…

Statistical Mechanics · Physics 2009-11-07 D. Belitz , T. R. Kirkpatrick

We consider situations where the renormalized geometric entropy, as defined by the AdS/CFT ansatz of Ryu and Takayanagi, shows extensive behavior in the volume of the entangled region. In general, any holographic geometry that is `capped'…

High Energy Physics - Theory · Physics 2014-11-18 Jose L. F. Barbon , Carlos A. Fuertes