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We identify various universal contributions to the entanglement entropy for massive free fields. As well as the `area' terms found in [1], we find other geometric contributions of the form discussed in [2]. We also compute analogous…

High Energy Physics - Theory · Physics 2015-06-11 Aitor Lewkowycz , Robert C. Myers , Michael Smolkin

We study the structure of divergences and universal terms of the entanglement and R\'enyi entropies for singular regions. First, we show that for $(3+1)$-dimensional free conformal field theories (CFTs), entangling regions emanating from…

High Energy Physics - Theory · Physics 2019-09-04 Pablo Bueno , Horacio Casini , William Witczak-Krempa

Entanglement entropy is typically proportional to area, but sometimes it acquires an additional logarithmic pre-factor. We offer some intuitive explanations for these facts.

High Energy Physics - Theory · Physics 2016-06-29 Anushya Chandran , Chris Laumann , Rafael D. Sorkin

The entanglement entropy (EE) can measure the entanglement between a spatial subregion and its complement, which provides key information about quantum states. Here, rather than focusing on specific regions, we study how the entanglement…

Strongly Correlated Electrons · Physics 2019-02-21 William Witczak-Krempa

Entanglement entropy, taken here to be geometric, requires a geometrically separable Hilbert space. In lattice gauge theories, it is not immediately clear if the physical Hilbert space is geometrically separable. In a previous paper we have…

High Energy Physics - Theory · Physics 2024-05-07 Mihael Hategan-Marandiuc

We discuss the relation between entanglement and criticality in translationally invariant harmonic lattice systems with non-randon, finite-range interactions. We show that the criticality of the system as well as validity or break-down of…

Quantum Physics · Physics 2009-11-11 R. G. Unanyan , M. Fleischhauer

In quantum field theory, a consistent prescription to define and deform integration contours in the complex energy plane is needed to evaluate loop integrals and compute scattering amplitudes. In some nonlocal field theories, including…

High Energy Physics - Theory · Physics 2023-01-02 Luca Buoninfante

Quantum entanglement and nonlocality are inequivalent notions: There exist entangled states that nevertheless admit local-realistic interpretations. This paper studies a special class of local-hidden-variable theories, in which the linear…

Quantum Physics · Physics 2017-11-17 Bin Yan

Entanglement entropy is a fundamental concept with rising importance in different fields ranging from quantum information science, black holes to materials science. In complex materials and systems, entanglement entropy provides insight…

Quantum Physics · Physics 2024-04-02 Zhi-Kang Lin , Yao Zhou , Bin Jiang , Bing-Quan Wu , Li-Mei Chen , Xiao-Yu Liu , Li-Wei Wang , Peng Ye , Jian-Hua Jiang

Understanding the relation between nonlocality and entanglement is one of the fundamental problems in quantum physics. In the bipartite case, it is known that the correlations observed for some entangled quantum states can be explained…

Quantum Physics · Physics 2015-07-22 R. Augusiak , M. Demianowicz , J. Tura , A. Acín

Breakdown of local physics in string theory at distances longer than the string scale is investigated. Such nonlocality would be expected to be visible in ultrahigh-energy scattering. The results of various approaches to such scattering are…

High Energy Physics - Theory · Physics 2008-11-26 Steven B. Giddings

We investigate the distribution of entanglement entropy in hybrid quantum circuits consisting of random unitary gates and local measurements applied at a finite rate. We demonstrate that higher moments of the entanglement entropy…

Quantum Physics · Physics 2026-04-14 Jeonghyeok Park , Hyukjoon Kwon , Hyunseok Jeong

Much has been learned about universal properties of entanglement entropies in ground states of quantum many-body lattice systems. Here we unveil universal properties of the average bipartite entanglement entropy of eigenstates of the…

Statistical Mechanics · Physics 2018-12-04 Lev Vidmar , Lucas Hackl , Eugenio Bianchi , Marcos Rigol

It is often observed in the ground state of spatially-extended quantum systems with local interactions that the entropy of a large region is proportional to its surface area. In some cases, this area law is corrected with a logarithmic…

Quantum Physics · Physics 2010-12-09 Lluis Masanes

We calculate the entanglement entropy of a slab of finite width in the pure Maxwell theory. We find that a large part of entropy is contributed by the entanglement of a mode, nonlocal in terms of the transverse magnetic field degrees of…

High Energy Physics - Theory · Physics 2020-08-03 Candost Akkaya , Alex Kovner

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

We consider the Ising model in a transverse field with long-range antiferromagnetic interactions that decay as a power law with their distance. We study both the phase diagram and the entanglement properties as a function of the exponent of…

Strongly Correlated Electrons · Physics 2013-02-08 Thomas Koffel , M. Lewenstein , Luca Tagliacozzo

Entanglement entropy for spatial subregions is difficult to define in string theory because of the extended nature of strings. Here we propose a definition for Bosonic open strings using the framework of string field theory. The key…

High Energy Physics - Theory · Physics 2018-04-04 Vijay Balasubramanian , Onkar Parrikar

The standard theory of relativity is based on the hypothesis of locality. The locality principle assumes that an object is affected only by its immediate surroundings and not by variables in the past. It follows that in standard relativity…

General Relativity and Quantum Cosmology · Physics 2012-11-12 Bahram Mashhoon

The many-body entanglement between two finite (size-$d$) disjoint vacuum regions of non-interacting lattice scalar field theory in one spatial dimension -- a $(d_A \times d_B)_{\rm mixed}$ Gaussian continuous variable system -- is locally…

Quantum Physics · Physics 2022-10-18 Natalie Klco , D. H. Beck , Martin J. Savage
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