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We study the scaling of the Renyi and entanglement entropy of two disjoint blocks of critical Ising models, as function of their sizes and separations. We present analytic results based on conformal field theory that are quantitatively…

Statistical Mechanics · Physics 2010-02-22 Vincenzo Alba , Luca Tagliacozzo , Pasquale Calabrese

We study the Renyi entanglement entropies of two disjoint intervals in XY chains. We exploit the exact solution of the model in terms of free Majorana fermions and we show how to construct the reduced density matrix in the spin variables by…

Statistical Mechanics · Physics 2010-04-19 Maurizio Fagotti , Pasquale Calabrese

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 discuss the Renyi entanglement entropies of descendant states in critical one-dimensional systems with boundaries, that map to boundary conformal field theories in the scaling limit. We unify the previous conformal-field-theory…

Statistical Mechanics · Physics 2016-09-27 Luca Taddia , Fabio Ortolani , Tamás Pálmai

We study the entanglement and Renyi entropies of two disjoint intervals in minimal models of conformal field theory. We use the conformal block expansion and fusion rules of twist fields to define a systematic expansion in the elliptic…

High Energy Physics - Theory · Physics 2015-06-03 M. A. Rajabpour , F. Gliozzi

We study analytically the corrections to the leading terms in the Renyi entropy of a massive lattice theory, showing significant deviations from naive expectations. In particular, we show that finite size and finite mass effects give rise…

High Energy Physics - Theory · Physics 2012-05-31 Elisa Ercolessi , Stefano Evangelisti , Fabio Franchini , Francesco Ravanini

We extend and refine recent results on Renyi entropy in two-dimensional conformal field theories at large central charge. To do so, we examine the effects of higher spin symmetry and of allowing unequal left and right central charges, at…

High Energy Physics - Theory · Physics 2015-06-18 Eric Perlmutter

The scaling of entanglement entropy for the nearest neighbor antiferromagnetic Heisenberg spin model is studied computationally for clusters joined by a single bond. Bisecting the balanced three legged Bethe Cluster, gives a second Renyi…

Strongly Correlated Electrons · Physics 2017-10-13 Barry A. Friedman , Gregory C. Levine

We present a general theory of the corrections to the asymptotic behaviour of the Renyi entropies which measure the entanglement of an interval A of length L with the rest of an infinite one-dimensional system, in the case when this is…

Statistical Mechanics · Physics 2011-02-16 John Cardy , Pasquale Calabrese

We analytically evaluate the Renyi entropies for the two dimensional free boson CFT. The CFT is considered to be compactified on a circle and at finite temperature. The Renyi entropies S_n are evaluated for a single interval using the two…

High Energy Physics - Theory · Physics 2014-04-15 Shouvik Datta , Justin R. David

Using a Corner Transfer Matrix approach, we compute the bipartite entanglement R\'enyi entropy in the off-critical perturbations of non-unitary conformal minimal models realised by lattice spin chains Hamiltonians related to the Forrester…

High Energy Physics - Theory · Physics 2016-07-18 Davide Bianchini , Francesco Ravanini

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 the R\'enyi entropies of N disjoint intervals in the conformal field theories given by the free compactified boson and the Ising model. They are computed as the 2N point function of twist fields, by employing the partition function…

High Energy Physics - Theory · Physics 2014-01-27 Andrea Coser , Luca Tagliacozzo , Erik Tonni

In this letter we show that the R\'enyi entanglement entropy of a region of large size $\ell$ in a one-dimensional critical model whose ground state breaks conformal invariance (such as in those described by non-unitary conformal field…

High Energy Physics - Theory · Physics 2015-06-19 Davide Bianchini , Olalla A. Castro-Alvaredo , Benjamin Doyon , Emanuele Levi , Francesco Ravanini

We reconsider the computation of the entanglement entropy of two disjoint intervals in a (1+1) dimensional conformal field theory by conformal block expansion of the 4-point correlation function of twist fields. We show that accurate…

Statistical Mechanics · Physics 2019-03-26 Paola Ruggiero , Erik Tonni , Pasquale Calabrese

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

Two-dimensional conformal field theories with extended $\cal{W}$-symmetry algebras have dual descriptions in terms of weakly coupled higher spin gravity in AdS$_3\,$ at large central charge. Observables that can be computed and compared in…

High Energy Physics - Theory · Physics 2018-10-09 Jan de Boer , Alejandra Castro , Eliot Hijano , Juan I. Jottar , Per Kraus

We study the critical behavior and the ground-state entanglement of a large class of $\mathrm{su}(1|1)$ supersymmetric spin chains with a general (not necessarily monotonic) dispersion relation. We show that this class includes several…

Entanglement is one of the most intriguing features of quantum theory and a main resource in quantum information science. Ground states of quantum many-body systems with local interactions typically obey an "area law" meaning the…

High Energy Physics - Theory · Physics 2018-11-12 Fumihiko Sugino , Vladimir Korepin

Universal scaling terms occurring in Renyi entanglement entropies have the potential to bring new understanding to quantum critical points in free and interacting systems. Quantitative comparisons between analytical continuum theories and…

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