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Finite-size scaling of mutual information in Monte Carlo simulations: Application to the spin-12 XXZ model

Roger G. Melko, Ann B. Kallin, and Matthew B. Hastings
Phys. Rev. B 82, 100409(R) – Published 17 September 2010

Abstract

We develop a quantum Monte Carlo procedure to compute the Renyi mutual information of an interacting quantum many-body system at nonzero temperature. Performing simulations on a spin-12 XXZ model, we observe that for a subregion of fixed size embedded in a system of size L, the mutual information converges at large L to a limiting function which displays nonmonotonic temperature behavior corresponding to the onset of correlations. For a region of size L/2 embedded in a system of size L, the mutual information divided by L converges to a limiting function of temperature, with apparently nontrivial corrections near critical points.

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  • Received 24 August 2010

DOI:https://doi.org/10.1103/PhysRevB.82.100409

©2010 American Physical Society

Authors & Affiliations

Roger G. Melko1, Ann B. Kallin1, and Matthew B. Hastings2

  • 1Department of Physics and Astronomy, University of Waterloo, Ontario, Canada N2L 3G1
  • 2Microsoft Research, Station Q, CNSI Building, University of California, Santa Barbara, California 93106, USA

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Issue

Vol. 82, Iss. 10 — 1 September 2010

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