Publication: Finite-size scaling of mutual information in Monte Carlo simulations: Application to the spin-1/2 XXZ model

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Title	Finite-size scaling of mutual information in Monte Carlo simulations: Application to the spin-1/2 XXZ model
Authors/Editors*	Roger G. Melko, Ann B. Kallin, Matthew B. Hastings
Where published*	Physical Review B
How published*	Journal
Year*	2010
Volume	82
Number
Pages	100409
Publisher
Keywords
Link	http://prb.aps.org/abstract/PRB/v82/i10/e100409
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-1/2 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.