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A simple derivation of the bound on entropy is given and the holographic principle is discussed. We estimate the number of quantum states inside space region on the base of uncertainty relation. The result is compared with the Bekenstein…

General Relativity and Quantum Cosmology · Physics 2015-06-25 M. G. Ivanov , I. V. Volovich

We consider the entanglement entropy for holographic field theories in finite volume. We show that the Araki-Lieb inequality is saturated for large enough subregions, implying that the thermal entropy can be recovered from the knowledge of…

High Energy Physics - Theory · Physics 2015-06-16 Veronika E. Hubeny , Henry Maxfield , Mukund Rangamani , Erik Tonni

We study one-loop bulk entanglement entropy in even spacetime dimensions using the heat kernel method, which captures the universal piece of entanglement entropy, a logarithmically divergent term in even dimensions. In four dimensions, we…

High Energy Physics - Theory · Physics 2021-07-21 Zhong-Ying Fan

A dispersive medium becomes entangled with zero-point fluctuations in the vacuum. We consider an arbitrary array of material bodies weakly interacting with a quantum field and compute the quantum mutual information between them. It is shown…

Quantum Physics · Physics 2015-06-08 Mohammad F. Maghrebi , Homer Reid

We compute the entanglement entropy for some quantum field theories on de Sitter space. We consider a superhorizon size spherical surface that divides the spatial slice into two regions, with the field theory in the standard vacuum state.…

High Energy Physics - Theory · Physics 2015-06-11 Juan Maldacena , Guilherme L. Pimentel

Motivated by the power of subregion/subregion duality for constraining the bulk geometry in gauge/gravity duality, we pursue a comprehensive and systematic approach to the behavior of extremal surfaces under perturbations. Specifically, we…

High Energy Physics - Theory · Physics 2020-01-08 Netta Engelhardt , Sebastian Fischetti

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…

High Energy Physics - Theory · Physics 2023-01-11 Elena Cáceres , Rodrigo Castillo Vásquez , Alejandro Vilar López

We study a holographic theory of general spacetimes that does not rely on the existence of asymptotic regions. This theory is to be formulated in a holographic space. When a semiclassical description is applicable, the holographic space is…

High Energy Physics - Theory · Physics 2017-04-12 Yasunori Nomura , Nico Salzetta , Fabio Sanches , Sean J. Weinberg

We study the entanglement entropy in a relativistic quantum field theory for regions which are not included in a single spatial hyperplane. This geometric configuration cannot be treated with the Euclidean time method and the replica trick.…

High Energy Physics - Theory · Physics 2011-09-30 David D. Blanco , Horacio Casini

We investigate holographically the entanglement entropy of a nonconformal medium whose dual geometry is described by an Einstein-Maxwell-dilaton theory. Due to an additional conserved charge corresponding to the number operator, its…

High Energy Physics - Theory · Physics 2015-06-17 Chanyong Park

We use holography in order to study the entanglement entropy for a spherical entangling surface in a FRW background with an arbitrary time dependence of the scale factor. The calculation is done in various dimensions, allowing for nonzero…

High Energy Physics - Theory · Physics 2021-07-07 D. Giataganas , N. Tetradis

We propose a simple approach to the calculation of the entanglement entropy of a spherically symmetric quantum system composed of two separate regions. We consider bound states of the system described by a wave function that is scale…

Quantum Physics · Physics 2019-02-12 Maurizio Melis

We consider a composite system where AdS$_3$ gravity is coupled to a flat heat bath and investigate the mutual information between two subregions on the intersection of the AdS$_3$ and bath, referred to as the boundary mutual information…

High Energy Physics - Theory · Physics 2026-02-16 Yuxuan Liu , Yi Ling , Zhuo-Yu Xian

In the long-standing quest to reconcile gravity with quantum mechanics, profound connections have been unveiled between concepts traditionally pertaining to quantum information theory, such as entanglement, and constitutive features of…

High Energy Physics - Theory · Physics 2022-06-28 Eugenia Colafranceschi , Gerardo Adesso

Quantum walks constitute a rich area of quantum information science, where multipartite entanglement plays a central role in the dynamics and scalability of quantum advantage over classical simulators. In this work, we study the…

Quantum Physics · Physics 2026-03-27 Emil K. F. Donkersloot , René Sondenheimer , Jan Sperling

We extend our studies of holographic entropy inequalities to gapped phases of matter. For any number of regions, we determine the linear entropy inequalities satisfied by systems in which the entanglement entropy satisfies an exact area…

High Energy Physics - Theory · Physics 2015-10-02 Ning Bao , ChunJun Cao , Michael Walter , Zitao Wang

In this thesis I present numerical studies of entanglement entropy and the quantum null energy condition in strongly coupled far-from-equilibrium quantum states using holography. I give a careful introduction into the numerical methods used…

High Energy Physics - Theory · Physics 2018-10-03 Christian Ecker

As a hallmark of pure quantum effect, quantum entanglement has provided unconventional routes to condensed matter systems. Here, from the perspective of quantum entanglement, we disclose exotic quantum physics in non-Hermitian…

Mesoscale and Nanoscale Physics · Physics 2022-03-30 Li-Mei Chen , Yao Zhou , Shuai A. Chen , Peng Ye

In the context of characterizing the structure of quantum entanglement in many-body systems, we introduce the entanglement contour, a tool to identify which real-space degrees of freedom contribute, and how much, to the entanglement of a…

Strongly Correlated Electrons · Physics 2016-11-25 Yangang Chen , Guifre Vidal

Through the holographic correspondence, we compute the entanglement entropy of the gluonic field sourced by a quark-antiquark pair undergoing uniform back-to-back acceleration. Previous calculations had obtained this only for the case where…

High Energy Physics - Theory · Physics 2025-12-15 Andrés Argandoña , Alberto Güijosa