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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: | https://arxiv.org/abs/1612.06338v2 (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 |
Specialties: |
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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
See full Ontology or Topics database.Published as SciPost Phys. 2, 011 (2017)