Criticalities of the transverse- and longitudinal-field fidelity susceptibilities for the d=2 quantum Ising model

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The inner product between the ground-state eigenvectors with proximate interaction parameters, namely, the fidelity, plays a significant role in the quantum dynamics. In this paper, the critical behaviors of the transverse- and longitudinal-field fidelity susceptibilities for the d=2 quantum (transverse-field) Ising model are investigated by means of the numerical-diagonalization method; the former susceptibility has been investigated rather extensively. The critical exponents for these fidelity susceptibilities are estimated as αF(t)=0.752(24) and αF(h)=1.81(13) , respectively. These indices are independent, and suffice for obtaining conventional critical indices such as ν=0.624(12) and γ=1.19(13).

Original languageEnglish
Article number012129
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume88
Issue number1
DOIs
Publication statusPublished - Jul 22 2013

    Fingerprint

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this