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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

This Submission thread is now published as SciPost Phys. 2, 011 (2017)

Submission summary

As Contributors: David J. Luitz
Arxiv Link: (pdf)
Date accepted: 2017-02-24
Date submitted: 2017-02-22 01:00
Submitted by: Luitz, David J.
Submitted to: SciPost Physics
Academic field: Physics
  • Quantum Physics
Approach: Theoretical


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

Published as SciPost Phys. 2, 011 (2017)

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Resubmission 1612.06338v2 on 22 February 2017

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