English
Related papers

Related papers: Entanglement entropy of two disjoint intervals in …

200 papers

We explore the structures of light cone and Regge limit singularities of $n$-point Virasoro conformal blocks in $c>1$ two-dimensional conformal field theories with no chiral primaries, using fusion matrix approach. These CFTs include not…

High Energy Physics - Theory · Physics 2019-09-04 Yuya Kusuki , Masamichi Miyaji

An entanglement Renyi entropy for a spatial partition of a system is studied in conformal theories which admit a dual description in terms of an anti-de Sitter gravity. The divergent part of the Renyi entropy is computed in 4D conformal N=4…

High Energy Physics - Theory · Physics 2015-06-03 Dmitri V. Fursaev

We consider the Renyi entropies S_n in one-dimensional massive integrable models diagonalizable by means of corner transfer matrices (as Heisenberg and Ising spin chains). By means of explicit examples and using the relation of corner…

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

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

We study the effects of a power-law trapping potential on the scaling behaviour of the entanglement at the quantum critical point of one-dimensional (1D) lattice particle systems. We compute bipartite von Neumann and Renyi entropies in the…

Statistical Mechanics · Physics 2015-05-19 Massimo Campostrini , Ettore Vicari

We study the time evolution of Renyi entanglement entropy for locally excited states in two dimensional large central charge CFTs. It generically shows a logarithmical growth and we compute the coefficient of $\log t$ term. Our analysis…

High Energy Physics - Theory · Physics 2018-03-14 Yuya Kusuki , Tadashi Takayanagi

Entanglement (Renyi) entropies of spatial regions are a useful tool for characterizing the ground states of quantum field theories. In this paper we investigate the extent to which these are universal quantities for a given theory, and to…

High Energy Physics - Theory · Physics 2013-03-18 Matthew Headrick , Albion Lawrence , Matthew M. Roberts

We calculate analytically the R\'enyi bipartite entanglement entropy $S_{\alpha}$ of the ground state of $1+1$ dimensional conformal field theories (CFT) after performing a projective measurement in a part of the system. We show that the…

High Energy Physics - Theory · Physics 2016-08-03 M. A. Rajabpour

Entanglement entropy has proven invaluable to our understanding of quantum criticality. It is natural to try to extend the concept to non-unitary quantum mechanics, which has seen growing interest from areas as diverse as open quantum…

Statistical Mechanics · Physics 2017-08-02 Romain Couvreur , Jesper Lykke Jacobsen , Hubert Saleur

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 study the Renyi entropy of the one-dimensional XYZ spin-1/2 chain in the entirety of its phase diagram. The model has several quantum critical lines corresponding to rotated XXZ chains in their paramagnetic phase, and four tri-critical…

Statistical Mechanics · Physics 2011-02-01 Elisa Ercolessi , Stefano Evangelisti , Fabio Franchini , Francesco Ravanini

We study the entanglement of two disjoint intervals in the conformal field theory of the Luttinger liquid (free compactified boson). Tr\rho_A^n for any integer n is calculated as the four-point function of a particular type of twist fields…

High Energy Physics - Theory · Physics 2009-12-03 Pasquale Calabrese , John Cardy , Erik Tonni

We calculate the von Neumann and R\'enyi bipartite entanglement entropy of the $O(2)$ model with a chemical potential on a 1+1 dimensional Euclidean lattice with open and periodic boundary conditions. We show that the Calabrese-Cardy…

High Energy Physics - Lattice · Physics 2017-08-30 A. Bazavov , Y. Meurice , S. -W. Tsai , J. Unmuth-Yockey , Li-Ping Yang , Jin Zhang

We investigate the entanglement and R\'enyi entropies for the (1+1)-dimensional O(3) nonlinear sigma model using the tensor renormalization group method. The central charge is determined from the asymptotic scaling properties of both…

High Energy Physics - Theory · Physics 2023-09-20 Xiao Luo , Yoshinobu Kuramashi

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

The scaling behavior of the entanglement entropy in the two-dimensional random transverse field Ising model is studied numerically through the strong disordered renormalization group method. We find that the leading term of the entanglement…

Disordered Systems and Neural Networks · Physics 2009-11-13 Rong Yu , Hubert Saleur , Stephan Haas

A new numerical approach to entanglement entropies of the Renyi type is proposed for one-dimensional quantum field theories. The method extends the truncated conformal spectrum approach and we will demonstrate that it is especially suited…

Statistical Mechanics · Physics 2016-06-23 T. Palmai

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

Renyi and von Neumann entropies quantifying the amount of entanglement in ground states of critical spin chains are known to satisfy a universal law which is given by the Conformal Field Theory (CFT) describing their scaling regime. This…

Statistical Mechanics · Physics 2015-05-30 Miguel Ibanez Berganza , Francisco Castilho Alcaraz , German Sierra

We study the dynamics of entanglement in the scaling limit of the Ising spin chain in the presence of both a longitudinal and a transverse field. We present analytical results for the quench of the longitudinal field in critical transverse…

Statistical Mechanics · Physics 2020-06-15 Olalla A. Castro-Alvaredo , Máté Lencsés , István M. Szécsényi , Jacopo Viti