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

Yoshihiro Nishiyama

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 19, 4345-4350

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).

Keywords: Quantum information; Ising model; Critical point phenomena; Numerical simulation studies (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:19:p:4345-4350

DOI: 10.1016/j.physa.2013.05.024

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