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We investigate an asymptotically spatially flat Robertson-Walker spacetime from two different perspectives. First, using von Neumann entropy, we evaluate the entanglement generation due to the encoded information in spacetime. Then, we work…

量子物理 · 物理学 2017-06-21 Mehrnoosh Farahmand , Hosein Mohammadzadeh , Hossein Mehri-Dehnavi

We compute the von Neumann and generalized R\'{e}nyi entanglement entropies in the ground-state of the spin-1/2 antiferromagnetic Heisenberg model on the square lattice using the modified spin-wave theory for finite lattices. The addition…

强关联电子 · 物理学 2011-07-06 H. Francis Song , Nicolas Laflorencie , Stephan Rachel , Karyn Le Hur

The study of entanglement in gauge theories is expected to provide insights into many fundamental phenomena, including confinement. However, calculations of quantities related to entanglement in gauge theories are limited by ambiguities…

量子物理 · 物理学 2024-06-11 Andrea Bulgarelli , Marco Panero

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…

高能物理 - 理论 · 物理学 2024-12-06 Yasaman K. Yazdi

We calculate Sorkin's spacetime entanglement entropy of a Gaussian scalar field for complementary regions in the 2d cylinder spacetime and show that it has the Calabrese-Cardy form. We find that the cut-off dependent term is universal when…

广义相对论与量子宇宙学 · 物理学 2021-08-24 Abhishek Mathur , Sumati Surya , Nomaan X

We present a perturbative method to compute the ground state entanglement entropy for interacting systems. We apply it to a collective model of mutually interacting spins in a magnetic field. At the quantum critical point, the entanglement…

统计力学 · 物理学 2010-05-11 T. Barthel , S. Dusuel , J. Vidal

Entanglement is a physical phenomenon that each state cannot be described individually. Entanglement entropy gives quantitative understanding to the entanglement. We use decomposition of the Hilbert space to discuss properties of the…

高能物理 - 理论 · 物理学 2016-02-17 Chen-Te Ma

The entanglement entropy of SU(N) lattice gauge theory is studied exactly in 1+1 space-time dimensions and in Migdal-Kadanoff approximation in higher dimensional space. The existence of a non-analytical behavior reminiscent of a phase…

高能物理 - 格点 · 物理学 2010-01-21 Alexander Velytsky

Entanglement is the fundamental difference between classical and quantum systems and has become one of the guiding principles in the exploration of high- and low-energy physics. The calculation of entanglement entropies in interacting…

量子物理 · 物理学 2022-08-17 Patrick Emonts , Ivan Kukuljan

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…

高能物理 - 理论 · 物理学 2012-11-07 Ling-Yan Hung , Robert C. Myers , Michael Smolkin

Using Matrix theory, we propose a technique on how to compute the entangle- ment entropy between a supergravity probe and modes on a spherical membrane. We demonstrate that a membrane stretched between the probe and the sphere entangles…

高能物理 - 理论 · 物理学 2017-05-05 Vatche Sahakian

We introduce a prescription to compute the entanglement entropy of Galilean conformal field theories by combining gravitational anomalies and an \.{I}n\"{o}n\"{u}-Wigner contraction. We find that our expression for the entanglement entropy…

高能物理 - 理论 · 物理学 2016-03-02 Seyed Morteza Hosseini , Alvaro Veliz-Osorio

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…

高能物理 - 理论 · 物理学 2022-07-20 Djordje Radicevic

To understand an emergent spacetime is to understand the emergence of locality. Entanglement entropy is a powerful diagnostic of locality, because locality leads to a large amount of short distance entanglement. Two dimensional string…

高能物理 - 理论 · 物理学 2015-09-23 Sean A. Hartnoll , Edward Mazenc

The entanglement entropy of a subsystem of a quantum system is expressed, in the replica approach, through analytic continuation with respect to n of the trace of the n-th power of the reduced density matrix. This trace can be thought of as…

高能物理 - 理论 · 物理学 2008-12-18 Michele Caraglio , Ferdinando Gliozzi

A numerical method is developed for calculating the real time Green's functions of very large sparse Hamiltonian matrices, which exploits the numerical solution of the inhomogeneous time-dependent Schroedinger equation. The method has a…

计算物理 · 物理学 2007-05-23 Toshiaki Iitaka

The time evolution of entanglement tracks how information propagates in interacting quantum systems. We study entanglement entropy in CFT$_2$ with a time-dependent Hamiltonian. We perturb by operators with time-dependent source functions…

高能物理 - 理论 · 物理学 2018-03-14 Allic Sivaramakrishnan

We consider entanglement across a planar boundary in flat space. Entanglement entropy is usually thought of as the von Neumann entropy of a reduced density matrix, but it can also be thought of as half the von Neumann entropy of a product…

高能物理 - 理论 · 物理学 2022-04-20 Takanori Anegawa , Norihiro Iizuka , Daniel Kabat

We consider the entanglement between two spatial subregions in the Lieb-Liniger model of bosons in one spatial dimension interacting via a contact interaction. Using ground state path integral quantum Monte Carlo we numerically compute the…

量子气体 · 物理学 2016-09-07 C. M. Herdman , P. -N. Roy , R. G. Melko , A. Del Maestro

We explicitly reconstruct the metric of a gravity dual to field theories using known entanglement entropies using the Ryu-Takayanagi formula. We use for examples CFT's in $d = 1$, 2 and 3 as well as CFT on a circle of length $L$ and a…

高能物理 - 理论 · 物理学 2013-11-21 Michael Spillane