SciPost Physics

SciPost Phys. 2, 011 (2017) · published 24 March 2017

• doi: 10.21468/SciPostPhys.2.2.011
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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 $q_c\simeq 1$.

• García-Mata et al., Two critical localization lengths in the Anderson transition on random graphs
  Phys. Rev. Research 2, 012020 (2020) [Crossref]
• D’Emidio, Entanglement Entropy from Nonequilibrium Work
  Phys. Rev. Lett. 124, 110602 (2020) [Crossref]
• Yoshino et al., Intercomponent entanglement entropy and spectrum in binary Bose-Einstein condensates
  Phys. Rev. A 103, 043321 (2021) [Crossref]
• Misguich et al., Finite-size scaling of the Shannon-Rényi entropy in two-dimensional systems with spontaneously broken continuous symmetry
  Phys. Rev. B 95, 195161 (2017) [Crossref]