Critical behavior of the fidelity susceptibility for the d = 2 transverse-field Ising model

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3 Citations (Scopus)

Abstract

The overlap (inner product) between the ground-state eigenvectors with proximate interaction parameters, the so-called fidelity, plays a significant role in the quantum-information theory. In this paper, the critical behavior of the fidelity susceptibility is investigated for a two-dimensional transverse-field (quantum) Ising model by means of the numerical diagonalization method. In order to treat a variety of system sizes N=12,14,.,32, we adopt the screw-boundary condition. Finite-size artifacts (scaling corrections) of the fidelity susceptibility appear to be suppressed, as compared to those of the Binder parameter. As a result, we estimate the fidelity susceptibility critical exponent as αF=0.715(20).

Original languageEnglish
Pages (from-to)4345-4350
Number of pages6
JournalPhysica A: Statistical Mechanics and its Applications
Volume392
Issue number19
DOIs
Publication statusPublished - Oct 1 2013

Keywords

  • Critical point phenomena
  • Ising model
  • Numerical simulation studies
  • Quantum information

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

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