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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
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Submission summary
| Authors (as registered SciPost users): | Nicolas Laflorencie · David J. Luitz |
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| Preprint 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 | |
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| 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)