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Quantum Monte Carlo detection of SU(2) symmetry breaking in the participation entropies of line subsystems

by David J. Luitz, Nicolas Laflorencie

Submission summary

As Contributors: David J. Luitz
Arxiv Link: https://arxiv.org/abs/1612.06338v2
Date accepted: 2017-02-24
Date submitted: 2017-02-22
Submitted by: Luitz, David J.
Submitted to: SciPost Physics
Discipline: Physics
Subject area: Quantum Physics
Approach: Theoretical

Abstract

Using quantum Monte Carlo simulations, we compute the participation (Shannon-R\'enyi) entropies for groundstate wave functions of Heisenberg antiferromagnets for one-dimensional (line) subsystems of length $L$ embedded in two-dimensional ($L\times L$) square lattices. We also study the line entropy at finite temperature, i.e. of the diagonal elements of the density matrix, for three-dimensional ($L\times L\times L$) cubic lattices. The breaking of SU(2) symmetry is clearly captured by a universal logarithmic scaling term $l_q\ln L$ in the R\'enyi entropies, in good agreement with the recent field-theory results of Misguish, Pasquier and Oshikawa [arXiv:1607.02465]. We also study the dependence of the log prefactor $l_q$ on the R\'enyi index $q$ for which a transition is detected at $q_c\simeq 1$.

Ontology / Topics

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Antiferromagnets Heisenberg model Heisenberg spin chains Line subsystems Monte-Carlo simulations Quantum Monte Carlo simulations Rényi entropy Shannon entropy Symmetry breaking

Published as SciPost Phys. 2, 011 (2017)



Submission & Refereeing History

Resubmission 1612.06338v2 on 22 February 2017
Submission 1612.06338v1 on 23 December 2016

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