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

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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

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Criticality
Susceptibility
Fidelity
Ising model
Ising Model
Transverse
magnetic permeability
Quantum Dynamics
Diagonalization
Critical Behavior
Scalar, inner or dot product
Critical Exponents
Eigenvector
Ground State
eigenvectors
exponents
ground state
products
Interaction
interactions

ASJC Scopus subject areas

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

Cite this

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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).",
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