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arXiv · 1305.3958

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

Yoshihiro Nishiyama
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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 the two-dimensional tranverse-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 α_F =0.715(20).

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Yoshihiro Nishiyama. 2013-05-17. Critical behavior of the fidelity susceptibility for the d=2 transverse-field Ising model. https://doi.org/10.1016/j.physa.2013.05.024

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