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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)
|
| 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: |
|
| 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)
