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We evaluate reflected entropy in certain anisotropic boundary theories dual to nonrelativistic geometries using holography. It is proposed that this quantity is proportional to the minimal area of the entanglement wedge cross section. Using…

High Energy Physics - Theory · Physics 2025-01-23 Mohammad Javad Vasli , M. Reza Mohammadi Mozaffar , Komeil Babaei Velni , Mohammad Sahraei

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…

High Energy Physics - Theory · Physics 2013-03-29 Thomas Hartman

We consider a holographic fermionic system in which the fermions are interacting with a U(1) gauge field in the presence of a dilaton field in a gravity bulk of a charged black hole with hyperscaling violation. Using both analytical and…

High Energy Physics - Theory · Physics 2015-06-22 Xiao-Mei Kuang , Eleftherios Papantonopoulos , Bin Wang , Jian-Pin Wu

We compute the bipartite entanglement properties of the spin-half square-lattice Heisenberg model by a variety of numerical techniques that include valence bond quantum Monte Carlo (QMC), stochastic series expansion QMC, high temperature…

Strongly Correlated Electrons · Physics 2013-04-16 Ann B. Kallin , Matthew B. Hastings , Roger G. Melko , Rajiv R. P. Singh

We study the entropy of chiral 2+1-dimensional topological phases, where there are both gapped bulk excitations and gapless edge modes. We show how the entanglement entropy of both types of excitations can be encoded in a single partition…

Statistical Mechanics · Physics 2008-11-26 Paul Fendley , Matthew P. A. Fisher , Chetan Nayak

We present a simple derivation of the entanglement entropy for a region made up of a union of disjoint intervals in 1+1 dimensional quantum field theories using holographic techniques. This generalizes the results for 1+1 dimensional…

High Energy Physics - Theory · Physics 2008-11-26 Veronika E. Hubeny , Mukund Rangamani

Quantum geometry, which encompasses both Berry curvature and the quantum metric, plays a key role in multi-band interacting electron systems. We study the entanglement entropy of a region of linear size $\ell$ in fermion systems with…

Strongly Correlated Electrons · Physics 2024-03-01 Nisarga Paul

In this work, we compute the entanglement entropy in continuous icMERA tensor networks for large $N$ models at strong coupling. Our results show that the $1/N$ quantum corrections to the Fisher information metric (interpreted as a local…

High Energy Physics - Theory · Physics 2022-04-07 Jose J. Fernandez-Melgarejo , Javier Molina-Vilaplana

Using measures of entanglement such as negativity and tangles we provide a detailed analysis of entanglement structures in pure states of non-interacting qubits. The motivation for this exercise primarily comes from holographic…

High Energy Physics - Theory · Physics 2015-08-28 Mukund Rangamani , Massimiliano Rota

The volume inside a Ryu-Takayanagi surface has been conjectured to be related to the complexity of subregions of the boundary field theory. Here, we study the behaviour of this volume analytically, when the entangling surface has a strip…

High Energy Physics - Theory · Physics 2017-08-02 Pratim Roy , Tapobrata Sarkar

We study the entanglement entropy in 1+1 dimensional conformal field theories in the presence of interfaces from a holographic perspective. Compared with the well-known case of boundary conformal field theories, interfaces allow for several…

High Energy Physics - Theory · Physics 2023-08-22 Andreas Karch , Zhu-Xi Luo , Hao-Yu Sun

Entanglement plays a prominent role in the study of condensed matter many-body systems: Entanglement measures not only quantify the possible use of these systems in quantum information protocols, but also shed light on their physics.…

Quantum Physics · Physics 2021-11-02 Shachar Fraenkel , Moshe Goldstein

We extend the study of finite-entanglement scaling from one-dimensional gapless models to two-dimensional systems with a Fermi surface. In particular, we show that the entanglement entropy of a contractible spatial region with linear size…

Strongly Correlated Electrons · Physics 2024-01-11 Quinten Mortier , Ming-Hao Li , Jutho Haegeman , Nick Bultinck

We analyze entanglement between quantum interacting fields. In particular, we use R\'enyi entropy to quantify the entanglement between the fields in the ground state of the linear $\sigma$ model. We adopt R\'enyi entropy because the failure…

Quantum Physics · Physics 2015-03-17 Daniele Teresi , Giuseppe Compagno

Quantum fluctuations of local quantities can be a direct signature of entanglement in an extended quantum many-body system. Hence they may serve as a theoretical (as well as an experimental) tool to detect the spatial properties of the…

Quantum Gases · Physics 2017-05-24 Irénée Frérot , Tommaso Roscilde

To produce a fermionic model exhibiting an entanglement entropy volume law, we propose a particular version of nonlocality in which the energy-momentum dispersion relation is effectively randomized at the shortest length scales while…

Quantum Physics · Physics 2019-07-31 G. C. Levine

The entanglement entropy of the random transverse-field Ising model is calculated by a numerical implementation of the asymptotically exact strong disorder renormalization group method in 2d, 3d and 4d hypercubic lattices for different…

Statistical Mechanics · Physics 2012-03-23 István A. Kovács , Ferenc Iglói

We employ the holographic approach to study the thermalization in the quenched strongly-coupled field theories with very general anisotropic scalings including Lifshitz and hyperscaling violating fixed points. The holographic dual is a…

High Energy Physics - Theory · Physics 2021-04-02 Po-Chun Sun , Da-Shin Lee , Chen-Pin Yeh

I make a novel contact between string theory and degenerate fermion dynamics in thin semiconductors. Utilizing AdS/CFT correspondence in string theory and tunability of coupling parameters in condensed matter systems, I focus on the…

High Energy Physics - Theory · Physics 2014-11-20 Soo-Jong Rey

Quantum phases characterized by surfaces of gapless excitations are known to violate the otherwise ubiquitous boundary law of entanglement entropy in the form of a multiplicative log correction: $S\sim L^{d-1} \log L$. Using variational…

Strongly Correlated Electrons · Physics 2016-09-07 Ryan V. Mishmash , Olexei I. Motrunich