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Quantum gravity in a finite region of spacetime is conjectured to be dual to a conformal field theory deformed by the irrelevant operator $T \overline{T}$. We test this conjecture with entanglement entropy, which is sensitive to ultraviolet…

高能物理 - 理论 · 物理学 2018-10-03 William Donnelly , Vasudev Shyam

Entanglement entropy of quantum fields in gravitational settings is a topic of growing importance. This entropy of entanglement is conventionally computed relative to Cauchy hypersurfaces where it is possible via a partial tracing to…

高能物理 - 理论 · 物理学 2021-05-07 Yangang Chen , Lucas Hackl , Ravi Kunjwal , Heidar Moradi , Yasaman K. Yazdi , Miguel Zilhão

In these notes we give a pedagogical account of the replica trick derivation of CFT entanglement and its holographic counterpart, i.e. the Lewkowycz Maldacena derivation of the Ryu-Takayanagi formula. The application to an 'island set-up'…

高能物理 - 理论 · 物理学 2023-11-03 Nele Callebaut

The Entanglement contour function quantifies the contribution from each degree of freedom in a region $\mathcal{A}$ to the entanglement entropy $S_{\mathcal{A}}$. Recently in \cite{Wen:2018whg} the author gave two proposals for the…

高能物理 - 理论 · 物理学 2020-05-20 Qiang Wen

We derive a covariant expression for the renormalized holographic entanglement entropy for Conformal Field Theories (CFTs) dual to Quadratic Curvature Gravity in arbitrary dimensions. This expression is written as the sum of the bare…

高能物理 - 理论 · 物理学 2021-10-04 Giorgos Anastasiou , Ignacio J. Araya , Javier Moreno , Rodrigo Olea , David Rivera-Betancour

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 geometric entanglement entropy of a quantum field in the vacuum state is known to be divergent and, when regularized, to scale as the area of the boundary of the region. Here we introduce an operational definition of the entropy of the…

高能物理 - 理论 · 物理学 2019-04-10 Eugenio Bianchi , Alejandro Satz

We study entanglement entropy for slab like regions in quantum field theories, using their holographic duals. We focus on the transition between space like and time like separations. By considering boosted subsystems in conformal and…

高能物理 - 理论 · 物理学 2025-09-19 Carlos Nunez , Dibakar Roychowdhury

We show that long-distance quantum correlations probe short-distance physics. Two disjoint regions of the latticized, massless scalar field vacuum are numerically demonstrated to become separable at distances beyond the negativity sphere,…

高能物理 - 理论 · 物理学 2021-12-01 Natalie Klco , Martin J. Savage

We develop a general framework to compute the scaling of entanglement entropy in inhomogeneous one-dimensional quantum systems belonging to the Luttinger liquid universality class. While much insight has been gained in homogeneous systems…

统计力学 · 物理学 2020-03-26 Alvise Bastianello , Jérôme Dubail , Jean-Marie Stéphan

We present the analytical calculation of entanglement entropy for a class of two dimensional field theories governed by the symmetries of the Galilean conformal algebra, thus providing a rare example of such an exact computation. These…

高能物理 - 理论 · 物理学 2015-03-25 Arjun Bagchi , Rudranil Basu , Daniel Grumiller , Max Riegler

We continue the study of entanglement entropy for a QFT through a perturbative expansion of the path integral definition of the reduced density matrix. The universal entanglement entropy for a CFT perturbed by a relevant operator is…

高能物理 - 理论 · 物理学 2015-06-23 Vladimir Rosenhaus , Michael Smolkin

In this work, we study the holographic entanglement entropy of two dimensional $T\bar{T}$-deformed conformal field theory. We compute the correction due to the deformation up to the leading order of the deformation parameter in the…

高能物理 - 理论 · 物理学 2022-08-17 M. R. Setare , S. N. Sajadi

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

Two-dimensional conformal field theories with a large central charge and a small number of low-dimension operators are studied using the conformal block expansion. A universal formula is derived for the Renyi entropies of N disjoint…

高能物理 - 理论 · 物理学 2013-03-29 Thomas Hartman

We discuss recent progress in the study of entanglement within cosmological frameworks, focusing on both momentum and position-space approaches and also reviewing the possibility to directly extract entanglement from quantum fields.…

广义相对论与量子宇宙学 · 物理学 2025-11-12 Alessio Belfiglio , Orlando Luongo , Stefano Mancini

A variational phase space is constructed for a system of fields on Euclidean space with periodic boundary conditions. An extended action functional is defined such that the Euler-Lagrange equations generate a symplectic flow on the…

高能物理 - 格点 · 物理学 2023-03-23 Brenden McDearmon

Cooper and Long generalised Epstein and Penner's Euclidean cell decomposition of cusped hyperbolic manifolds of finite volume to non-compact strictly convex projective manifolds of finite volume. We show that Weeks' algorithm to compute…

几何拓扑 · 数学 2015-12-08 Stephan Tillmann , Sampson Wong

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…

高能物理 - 理论 · 物理学 2017-07-26 Netta Engelhardt , Gary T. Horowitz

With an aim towards understanding the time-dependence of entanglement entropy in generic quantum field theories, we propose a covariant generalization of the holographic entanglement entropy proposal of hep-th/0603001. Apart from providing…

高能物理 - 理论 · 物理学 2012-06-15 Veronika E. Hubeny , Mukund Rangamani , Tadashi Takayanagi