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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
Submission summary
Submission information |
Arxiv Link: |
https://arxiv.org/abs/1612.06338v2 (pdf)
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Date accepted: |
2017-02-24 |
Date submitted: |
2017-02-22 01:00 |
Submitted by: |
Luitz, David J. |
Submitted to: |
SciPost Physics |
Ontological classification |
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 $q_c\simeq 1$.
Published as
SciPost Phys. 2, 011 (2017)