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arXiv · 1307.3603

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

Yoshihiro Nishiyama
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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 α^{(t)}_F=0.752(24) and α^{(h)}_F=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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Yoshihiro Nishiyama. 2013-07-13. Criticalities of the transverse- and longitudinal-field fidelity susceptibilities for the d=2 quantum Ising model. https://doi.org/10.1103/physreve.88.012129

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