1305.3958 (Yoshihiro Nishiyama)

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

Yoshihiro Nishiyama

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 \alpha_F =0.715(20).

View original: http://arxiv.org/abs/1305.3958