Quantum Monte Carlo detection of SU(2) symmetry breaking in the participation entropies of line subsystems

Abstract

Using quantum Monte Carlo simulations, we compute the participation (Shannon-Rényi) 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 Rényi 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 Rényi index $q$ for which a transition is detected at $q_c\simeq 1$.

13 pages, 5 figures, submitted to SciPost Physics

References in corpus (7)

• Quantum entanglement in condensed matter systems
• Entanglement Entropy of the Two-Dimensional Heisenberg Antiferromagnet
• Rényi entropy of a line in two-dimensional Ising models
• Entanglement entropy scaling in the bilayer Heisenberg spin system
• Participation spectroscopy and entanglement Hamiltonian of quantum spin models
• Improving entanglement and thermodynamic Rényi entropy measurements in quantum Monte Carlo
• Universal logarithmic corrections to entanglement entropies in two dimensions with spontaneously broken continuous symmetries

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• Resummation-based Quantum Monte Carlo for Entanglement Entropy Computation