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We show that the entanglement entropy and alpha entropies corresponding to spatial polygonal sets in $(2+1)$ dimensions contain a term which scales logarithmically with the cutoff. Its coefficient is a universal quantity consisting in a sum…

High Energy Physics - Theory · Physics 2008-11-26 H. Casini , M. Huerta

We study the R\'enyi entanglement entropy (EE) of the two-dimensional $J$-$Q$ model, the emblematic quantum spin model of deconfined criticality at the phase transition between antiferromagnetic and valence-bond-solid ground states.…

Strongly Correlated Electrons · Physics 2024-10-18 Jonathan D'Emidio , Anders W. Sandvik

Entanglement entropy is a powerful tool to detect continuous, discontinuous and even topological phase transitions in quantum as well as classical systems. In this work, von Neumann and Renyi entanglement entropies are studied numerically…

Statistical Mechanics · Physics 2023-10-30 Christophe Chatelain , Andrej Gendiar

We consider the two-dimensional (2d) Ising model on a infinitely long cylinder and study the probabilities $p_i$ to observe a given spin configuration $i$ along a circular section of the cylinder. These probabilities also occur as…

Strongly Correlated Electrons · Physics 2010-11-02 Jean-Marie Stéphan , Grégoire Misguich , Vincent Pasquier

We investigate the entanglement properties of the Quantum Six-Vertex Model on a cylinder, focusing on the Shannon-Renyi entropy in the limit of Renyi order $n = \infty$. This entropy, calculated from the ground state amplitudes of the…

Quantum Physics · Physics 2026-03-19 Sunny Pradhan , Jesús Cobos , Enrique Rico , Germán Sierra

We investigate multipartite entanglement for quantum states of 3d space geometry, described via generalised random spin networks with fixed areas, in the context of background independent approaches to quantum gravity. We focus on…

High Energy Physics - Theory · Physics 2022-12-20 Goffredo Chirco , Simone Cepollaro , Gianluca Cuffaro , Vittorio D'Esposito

We study the entanglement entropy in confining theories with gravity duals using the holographic prescription of Ryu and Takayanagi. The entanglement entropy between a region and its complement is proportional to the minimal area of a bulk…

High Energy Physics - Theory · Physics 2009-11-18 Ari Pakman , Andrei Parnachev

In this work, we investigate an exactly solvable two-leg spin ladder with three-spin interactions. We obtain analytically the finite-size corrections of the low-lying energies and determine the central charge as well as the scaling…

Statistical Mechanics · Physics 2012-08-30 D. Eloy , J. C. Xavier

We study how the universal contribution to entanglement entropy in a conformal field theory depends on the entangling region. We show that for a deformed sphere the variation of the universal contribution is quadratic in the deformation…

High Energy Physics - Theory · Physics 2015-02-17 Andrea Allais , Márk Mezei

We compute entanglement entropy for free massive scalar fields in anti-de Sitter (AdS) space. The entangling surface is a minimal surface whose boundary is a sphere at the boundary of AdS. The entropy can be evaluated from the thermal free…

High Energy Physics - Theory · Physics 2017-11-22 Sotaro Sugishita

We study entanglement entropy for regions with a singular boundary in higher dimensions using the AdS/CFT correspondence and find that various singularities make new universal contributions. When the boundary CFT has an even spacetime…

High Energy Physics - Theory · Physics 2015-06-05 Robert C. Myers , Ajay Singh

We perform a quantum Monte Carlo simulation of the resonating valence bond wavefunction on a two-dimensional square lattice with periodic boundary conditions. Using two replicas of the system, we calculate the second Renyi entropy on a…

Strongly Correlated Electrons · Physics 2024-02-28 Giacomo Torlai , Roger G. Melko

We introduce a systematic framework to calculate the bipartite entanglement entropy of a compact spatial subsystem in a one-dimensional quantum gas which can be mapped into a noninteracting fermion system. We show that when working with a…

Statistical Mechanics · Physics 2015-05-28 Pasquale Calabrese , Mihail Mintchev , Ettore Vicari

We examine the entanglement properties of the spin-half Heisenberg model on the two-dimensional square-lattice bilayer based on quantum Monte Carlo calculations of the second R\'enyi entanglement entropy. In particular, we extract the…

Strongly Correlated Electrons · Physics 2015-06-19 Johannes Helmes , Stefan Wessel

We study the holographic entanglement entropy of spatial regions with corners in the AdS4/BCFT3 correspondence by considering three dimensional boundary conformal field theories whose boundary is a timelike plane. We compute analytically…

High Energy Physics - Theory · Physics 2017-12-19 Domenico Seminara , Jacopo Sisti , Erik Tonni

Relative entropy is a measure of distinguishability for quantum states, and plays a central role in quantum information theory. The family of Renyi entropies generalizes to Renyi relative entropies that include as special cases most entropy…

High Energy Physics - Theory · Physics 2014-12-12 Nima Lashkari

We consider 3d N>= 2 superconformal field theories on a branched covering of a three-sphere. The Renyi entropy of a CFT is given by the partition function on this space, but conical singularities break the supersymmetry preserved in the…

High Energy Physics - Theory · Physics 2015-06-16 Tatsuma Nishioka , Itamar Yaakov

The entanglement entropy in one dimensional critical systems with boundaries has been associated with the noninteger ground state degeneracy. This quantity, being a characteristic of boundary fixed points, decreases under renormalization…

Statistical Mechanics · Physics 2017-08-30 Eyal Cornfeld , Eran Sela

Subdominant contributions to the entanglement entropy of quantum fields include logarithmic corrections to the area law characterized by universal coefficients that are independent of the ultraviolet regulator and capture detailed…

High Energy Physics - Theory · Physics 2021-12-28 Rodolfo Soldati , L. S. Menicucci , N. Yokomizo

We extend previous work on the perturbative expansion of the Renyi entropy, $S_q$, around $q=1$ for a spherical entangling surface in a general CFT. Applied to conformal scalar fields in various spacetime dimensions, the results appear to…

High Energy Physics - Theory · Physics 2015-06-22 Jeongseog Lee , Aitor Lewkowycz , Eric Perlmutter , Benjamin R. Safdi