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Related papers: Entanglement Entropy in Scalar Field Theory

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We compute a variational approximation to the entanglement entropy for states of the Gross-Neveu model. Further, we examine the functional dependence of the entanglement entropy on the coupling and number of colors in the theory. Our…

High Energy Physics - Theory · Physics 2019-08-14 Jordan S. Cotler , Mark T. Mueller

We investigate various aspects of capacity of entanglement in certain setups whose entanglement entropy becomes extensive and obeys a volume law. In particular, considering geometric decomposition of the Hilbert space, we study this measure…

High Energy Physics - Theory · Physics 2024-09-20 M. Reza Mohammadi Mozaffar

In this paper, we study the entanglement entropy in string theory in the simplest setup of dividing the nine dimensional space into two halves. This corresponds to the leading quantum correction to the horizon entropy in string theory on…

High Energy Physics - Theory · Physics 2015-01-07 Song He , Tokiro Numasawa , Tadashi Takayanagi , Kento Watanabe

The excess entanglement resulting from exciting a finite number of quasiparticles above the ground state of a free integrable quantum field theory has been investigated quite extensively in the literature. It has been found that it takes a…

High Energy Physics - Theory · Physics 2023-01-18 Luca Capizzi , Olalla A. Castro-Alvaredo , Cecilia De Fazio , Michele Mazzoni , Lucía Santamaría-Sanz

We compute the entanglement and R\'enyi entropy growth after a global quench in various dimensions in free scalar field theory. We study two types of quenches: a boundary state quench and a global mass quench. Both of these quenches are…

High Energy Physics - Theory · Physics 2017-05-02 Jordan S. Cotler , Mark P. Hertzberg , Márk Mezei , Mark T. Mueller

We discuss the scaling of entanglement entropy in the random singlet phase (RSP) of disordered quantum magnetic chains of general spin-S. Through an analysis of the general structure of the RSP, we show that the entanglement entropy scales…

Quantum Physics · Physics 2009-11-13 A. Saguia , M. S. Sarandy , B. Boechat , M. A. Continentino

The entanglement entropy in one dimensional critical systems with boundaries has been associated with the noninteger ground state degeneracy. This quantity, being a characteristic of boundary fixed points, decreases under renormalization…

Statistical Mechanics · Physics 2017-08-30 Eyal Cornfeld , Eran Sela

We propose a unified scaling theory of entanglement entropy in the confinements of finite bond dimensions, dynamics and system sizes. Within the theory, the finite-entanglement scaling introduced recently is generalized to the dynamics…

Statistical Mechanics · Physics 2018-12-26 Xuanmin Cao , Qijun Hu , Fan Zhong

Regulated Lorentz invariant quantum field theories satisfy an area law for the entanglement entropy $S$ of a spatial subregion in the ground state in $d>1$ spatial dimensions; nevertheless, the full density matrix contains many more than…

Statistical Mechanics · Physics 2013-04-25 Brian Swingle

We study entanglement entropy in theories with gravitational or mixed U(1) gauge-gravitational anomalies in two, four and six dimensions. In such theories there is an anomaly in the entanglement entropy: it depends on the choice of…

High Energy Physics - Theory · Physics 2017-07-25 Nabil Iqbal , Aron C. Wall

We discuss the entanglement entropy for a massive Klein-Gordon field in two Schwarzschild-like quantum black hole spacetimes, also including a nonminimal coupling term with the background scalar curvature. To compute the entanglement…

General Relativity and Quantum Cosmology · Physics 2025-06-10 Alessio Belfiglio , Orlando Luongo , Stefano Mancini , Sebastiano Tomasi

We express the entropy of a scalar field phi directly in terms of its spacetime correlation function W(x,y) = <phi(x) phi(y)>, assuming that the higher correlators are of "Gaussian" form. The resulting formula associates an entropy S(R) to…

High Energy Physics - Theory · Physics 2012-05-15 Rafael D. Sorkin

The calculation of entanglement entropy S of quantum fields in spacetimes with horizon shows that, quite generically, S (a) is proportional to the area A of the horizon and (b) is divergent. I argue that this divergence, which arises even…

General Relativity and Quantum Cosmology · Physics 2010-12-24 T. Padmanabhan

We revisit a model for gapped fractonic order in (2+1) dimensions (a symmetric-traceless tensor gauge theory with conservation of dipole and trace-quadrupole moments described in \cite{Prem:2017kxc}) and compute its ground-state…

Strongly Correlated Electrons · Physics 2021-09-03 Jackson R. Fliss

We study the evolution of the universal area law of entanglement entropy when the Hamiltonian of the system undergoes a time dependent perturbation. In particular, we derive a general formula for the time dependent first order correction to…

High Energy Physics - Theory · Physics 2016-09-21 Stefan Leichenauer , Mudassir Moosa , Michael Smolkin

We consider entanglement through permeable interfaces in the c=1 (1+1)-dimensional conformal field theory. We compute the partition functions with the interfaces inserted. By the replica trick, the entanglement entropy is obtained…

High Energy Physics - Theory · Physics 2008-12-18 Kazuhiro Sakai , Yuji Satoh

We present a theory of the entanglement transition tuned by measurement strength in qudit chains evolved by random unitary circuits and subject to either weak or random projective measurements. The transition can be understood as a…

Statistical Mechanics · Physics 2020-03-05 Yimu Bao , Soonwon Choi , Ehud Altman

This paper revisits standard calculations of free field entanglement entropy in light of the newly developed lattice-continuum correspondence. This correspondence prescribes an explicit method to extract an approximately continuum quantum…

High Energy Physics - Theory · Physics 2022-07-20 Djordje Radicevic

Entanglement entropy appears as a central property of quantum systems in broad areas of physics. However, its precise value is often sensitive to unknown microphysics, rendering it incalculable. By considering parametric dependence on…

High Energy Physics - Theory · Physics 2011-02-09 Mark P. Hertzberg , Frank Wilczek

In this paper we calculate the entanglement entropy of two coupled gapless systems in general spatial dimension d. The gapless systems can be either conformal field theories (CFT), or Fermi liquids. We assume the two systems are coupled…

Strongly Correlated Electrons · Physics 2015-05-27 Cenke Xu