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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

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

The holographic entropy cone characterizes the relations between entanglement entropies for a spatial partitioning of the boundary spacetime of a holographic CFT in any state describing a classical bulk geometry. We argue that the…

高能物理 - 理论 · 物理学 2024-09-09 Sergio Hernández-Cuenca , Veronika E. Hubeny , Massimiliano Rota

The subleading corner logarithmic corrections in entanglement entropy (EE) are crucial for revealing universal characteristics of the quantum critical points (QCPs), but they are challenging to detect. Motivated by recent developments in…

强关联电子 · 物理学 2025-03-31 Yuan Da Liao , Menghan Song , Jiarui Zhao , Zi Yang Meng

The entanglement entropy (EE) can measure the entanglement between a spatial subregion and its complement, which provides key information about quantum states. Here, rather than focusing on specific regions, we study how the entanglement…

强关联电子 · 物理学 2019-02-21 William Witczak-Krempa

We present atomistic molecular dynamics simulations of two Polyethylene systems where all entanglements are trapped: a perfect network, and a melt with grafted chain ends. We examine microscopically at what level topological constraints can…

软凝聚态物质 · 物理学 2015-03-13 Stefanos D. Anogiannakis , Christos Tzoumanekas , Doros N. Theodorou

We study the relationship between mixed state entanglement and thermal phase transitions. As a typical example, we compute the holographic entanglement entropy (HEE), holographic mutual information (MI) and the holographic entanglement of…

高能物理 - 理论 · 物理学 2021-08-25 Peng Liu , Jian-Pin Wu

The Ryu-Takayanagi (RT) formula relates the entanglement entropy of a region in a holographic theory to the area of a corresponding bulk minimal surface. Using the max flow-min cut principle, a theorem from network theory, we rewrite the RT…

高能物理 - 理论 · 物理学 2018-08-23 Michael Freedman , Matthew Headrick

We develop a convenient framework for characterizing multipartite entanglement in composite systems, based on relations between entropies of various subsystems. This continues the program initiated in arXiv:1808.07871, of using holography…

高能物理 - 理论 · 物理学 2019-05-01 Veronika E. Hubeny , Mukund Rangamani , Massimiliano Rota

We study the behaviour of holographic entanglement entropy (HEE) in near equilibrium thermal states which are macroscopically described by conformal relativistic hydrodynamic flows dual to dynamical black brane geometries. We compute HEE…

高能物理 - 理论 · 物理学 2023-05-23 Jyotirmoy Bhattacharya , Parthajit Biswas , A. Chandranathan , Sayan Kumar Das

Entanglement entropy plays a variety of roles in quantum field theory, including the connections between quantum states and gravitation through the holographic principle. This article provides a review of entanglement entropy from a mixed…

高能物理 - 理论 · 物理学 2019-12-30 Tatsuma Nishioka

We present a combinatorial characterization of the Bethe entropy function of a factor graph, such a characterization being in contrast to the original, analytical, definition of this function. We achieve this combinatorial characterization…

信息论 · 计算机科学 2013-11-05 Pascal O. Vontobel

Persistent entropy (PE) is an information-theoretic summary statistic of persistence barcodes that has been widely used to detect regime changes in complex systems. Despite its empirical success, a general theoretical understanding of when…

机器学习 · 统计学 2026-02-11 Matteo Rucco

Pairs of pseudoscalar neutral mesons from decays of vector resonances are studied as bipartite systems in the framework of density operator. Time-dependent quantum entanglement is quantified in terms of the entanglement entropy and these…

高能物理 - 唯象学 · 物理学 2017-11-09 Wojciech Wislicki

The celebrated holographic entanglement entropy triggered investigations on the connections between quantum information theory and quantum gravity. An important achievement is that we have gained more insights into the quantum states. It…

高能物理 - 理论 · 物理学 2022-07-15 Nan Li , Chuan-Shi Dong , Dong-Hui Du , Fu-Wen Shu

Entanglement entropy for spatial subregions is difficult to define in string theory because of the extended nature of strings. Here we propose a definition for Bosonic open strings using the framework of string field theory. The key…

高能物理 - 理论 · 物理学 2018-04-04 Vijay Balasubramanian , Onkar Parrikar

Quantum annealing (QA) has emerged as a promising candidate for fast solvers for combinatorial optimization problems (COPs) and has attracted the interest of many researchers. Since COP is logically encoded in the Ising interaction among…

量子物理 · 物理学 2025-05-01 Yoshihiro Nambu

In this paper we continue the study of renormalized entanglement entropy introduced in [1]. In particular, we investigate its behavior near an IR fixed point using holographic duality. We develop techniques which, for any static holographic…

高能物理 - 理论 · 物理学 2015-06-17 Hong Liu , Márk Mezei

We study the mixed-state entanglement for AdS Born-Infeld (BI) theory. We calculate the mixed-state entanglement and investigate the relationship between it and the system parameters. We find that the holographic entanglement entropy (HEE)…

高能物理 - 理论 · 物理学 2023-09-26 Peng Liu , Zhe Yang , Chao Niu , Cheng-Yong Zhang , Jian-Pin Wu

Interplay of Coulomb interaction energy, free ion entropy, and conformational elasticity is a fascinating aspect in polyelectrolytes (PEs). We develop a theory for complexation of two oppositely charged PEs, a process known to be the…

软凝聚态物质 · 物理学 2022-09-15 Soumik Mitra , Arindam Kundagrami