Finite-temperature critical behavior of mutual information

We study mutual information for Renyi entropy of arbitrary index n, in interacting quantum systems at finite-temperature critical points, using high-temperature expansion, quantum Monte Carlo simulations and scaling theory. We find that, for n>1, the critical behavior is manifest at two temperatu...

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Bibliographic Details
Published inPhysical review letters Vol. 106; no. 13; p. 135701
Main Authors Singh, Rajiv R P, Hastings, Matthew B, Kallin, Ann B, Melko, Roger G
Format Journal Article
LanguageEnglish
Published United States 01.04.2011
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Summary:We study mutual information for Renyi entropy of arbitrary index n, in interacting quantum systems at finite-temperature critical points, using high-temperature expansion, quantum Monte Carlo simulations and scaling theory. We find that, for n>1, the critical behavior is manifest at two temperatures T(c) and nT(c). For the XXZ model with Ising anisotropy, the coefficient of the area law has a t lnt singularity, whereas the subleading correction from corners has a logarithmic divergence, with a coefficient related to the exact results of Cardy and Peschel. For T<nT(c) there is a constant term associated with broken symmetries that jumps at both T(c) and nT(c), which can be understood in terms of a scaling function analogous to the boundary entropy of Affleck and Ludwig.
ISSN:1079-7114
DOI:10.1103/PhysRevLett.106.135701