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We derive the holographic entanglement entropy functional for a generic gravitational theory whose action contains terms up to cubic order in the Riemann tensor, and in any dimension. This is the simplest case for which the so-called…

高能物理 - 理论 · 物理学 2023-01-11 Elena Cáceres , Rodrigo Castillo Vásquez , Alejandro Vilar López

For time-independent excited states in conformal field theories, the entanglement entropy of small subsystems satisfies a `first law'-like relation, in which the change in entanglement is proportional to the energy within the entangling…

高能物理 - 理论 · 物理学 2018-09-25 Sagar F. Lokhande , Gerben W. J. Oling , Juan F. Pedraza

We use the conformal invariance and the holographic correspondence to fully specify the dependence of entanglement entropy on the extrinsic geometry of the 2d surface $\Sigma$ that separates two subsystems of quantum strongly coupled…

高能物理 - 理论 · 物理学 2008-11-26 Sergey N. Solodukhin

We study holographic entanglement entropy of non-local field theories both at extremality and finite temperature. The gravity duals, constructed in arXiv:1208.3469 [hep-th], are characterized by a parameter $w$. Both the zero temperature…

高能物理 - 理论 · 物理学 2014-06-18 Da-Wei Pang

It is well-known that entanglement entropy in field theory at its ground state is dominated by an area law term, presenting a similarity to the entropy of black holes. It is interesting to investigate whether this similarity can be extended…

高能物理 - 理论 · 物理学 2022-06-14 Dimitrios Katsinis , Georgios Pastras

We study the holographic entanglement entropy under small deformations of AdS, including time-dependence. It is found through perturbative analysis that the divergent terms are not affected and the change appears only in the finite terms.…

高能物理 - 理论 · 物理学 2016-09-21 Nakwoo Kim , Jung Hun Lee

The conformal transformation in the Einstein - Hilbert action leads to a new frame where an extra scalar degree of freedom is compensated by the local conformal-like symmetry. We write down a most general action resulting from such…

高能物理 - 理论 · 物理学 2010-11-01 Ilya L. Shapiro , Hiroyuki Takata

Here I develop the connection between thermodynamics, entanglement, and gravity. I begin by showing that the classical null energy condition (NEC) can arise as a consequence of the second law of thermodynamics applied to local holographic…

高能物理 - 理论 · 物理学 2020-12-09 Andrew Svesko

We provide arguments indicating that the semiclassical Einstein equations follow from quantum relative entropy and its proportionality to an area variation. Using modular theory, we establish that the relative entropy between the vacuum…

高能物理 - 理论 · 物理学 2026-03-04 Philipp Dorau , Albert Much

We study instant conformal symmetry breaking as a holographic effect of ultrarelativistic particles moving in the AdS3 spacetime. We give the qualitative picture of this effect probing it by two-point correlation functions and the…

高能物理 - 理论 · 物理学 2017-06-22 D. S. Ageev , I. Ya. Aref'eva

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…

统计力学 · 物理学 2013-04-25 Brian Swingle

Entanglement asymmetry is a measure of symmetry breaking in quantum subsystems, inspired by quantum information theory, particularly suited to study out-of-equilibrium states. We study the entanglement asymmetry of a class of excited…

高能物理 - 理论 · 物理学 2025-09-23 Francesco Benini , Victor Godet , Amartya Harsh Singh

In the MacDowell-Mansouri formulation of general relativity, the spin connection and coframe variables are incorporated into a single Lie algebra-valued connection called the MacDowell-Mansouri connection, $\omega$. From the curvature form…

广义相对论与量子宇宙学 · 物理学 2025-08-11 James A. Reid

Understanding the dependence of entanglement entropy on the renormalized mass in quantum field theories can provide insight into phenomena such as quantum phase transitions, since the mass varies in a singular way near the transition. Here…

高能物理 - 理论 · 物理学 2012-12-11 Mark P. Hertzberg

We consider the minimal area of the entanglement wedge cross section (EWCS) in Einstein gravity. In the context of holography, it is proposed that this quantity is dual to different information measures, e.g., entanglement of purification,…

高能物理 - 理论 · 物理学 2019-05-30 Komeil Babaei Velni , M. Reza Mohammadi Mozaffar , M. H. Vahidinia

Entanglement entropy satisfies a first law-like relation, which equates the first order perturbation of the entanglement entropy for the region $A$ to the first order perturbation of the expectation value of the modular Hamiltonian, $\delta…

高能物理 - 理论 · 物理学 2021-10-25 Muxin Han , Qiang Wen

Recently it was observed that the first law of Entanglement leads to the linearized Einstein equation. In this paper, we point out that the gravity dual of an relative entropy expression is equivalent to the full non-linear Einstein…

高能物理 - 理论 · 物理学 2018-07-18 Eunseok Oh , I. Y. Park , Sang-Jin Sin

In an attempt to find a quasi-local measure of quantum entanglement, we introduce the concept of entanglement density in relativistic quantum theories. This density is defined in terms of infinitesimal variations of the region whose…

高能物理 - 理论 · 物理学 2015-05-27 Jyotirmoy Bhattacharya , Veronika E. Hubeny , Mukund Rangamani , Tadashi Takayanagi

We investigate the dynamics of the ground state entanglement entropy for a discretized scalar field propagating within the Oppenheimer-Snyder collapse metric. Starting from a well-controlled initial configuration, we follow the system as it…

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

We examine the structure of the shear viscosity to entropy density ratio eta/s in holographic theories of gravity coupled to a scalar field, in the presence of higher derivative corrections. Thanks to a non-trivial scalar field profile,…

高能物理 - 理论 · 物理学 2015-06-05 Sera Cremonini , Umut Gursoy , Phillip Szepietowski