Entanglement of excited states in critical spin chains


Autoria(s): Ibanez Berganza, Miguel; Alcaraz, Francisco Castilho; Sierra, German
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

02/10/2013

02/10/2013

2012

Resumo

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 law can be generalized to excitations described by primary fields in CFT, as was done by Alcaraz et al in 2011 (see reference [1], of which this work is a completion). An alternative derivation is presented, together with numerical verifications of our results in different models belonging to the c = 1, 1/2 universality classes. Oscillations of the Renyi entropy in excited states are also discussed.

Spanish projects [FIS2009-11654]

Spanish projects

QuiteMad

QuiteMad

Brazilian agency FAPESP

Brazilian agency FAPESP

Brazilian agency CNPq

Brazilian agency CNPq

Identificador

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, BRISTOL, v. 68, n. 1, pp. 78-88, JAN, 2012

1742-5468

http://www.producao.usp.br/handle/BDPI/33965

10.1088/1742-5468/2012/01/P01016

http://dx.doi.org/10.1088/1742-5468/2012/01/P01016

Idioma(s)

eng

Publicador

IOP PUBLISHING LTD

BRISTOL

Relação

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Direitos

restrictedAccess

Copyright IOP PUBLISHING LTD

Palavras-Chave #CONFORMAL FIELD THEORY #SOLVABLE LATTICE MODELS #ENTANGLEMENT IN EXTENDED QUANTUM SYSTEMS (THEORY) #GROUND-STATE #FIELD-THEORY #ENTROPY #AREA #MECHANICS #PHYSICS, MATHEMATICAL
Tipo

article

original article

publishedVersion