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

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).

References in corpus (5)

• Dynamics of Loschmidt echoes and fidelity decay
• Fidelity susceptibility, scaling, and universality in quantum critical phenomena
• Quantum Monte Carlo simulations of fidelity at magnetic quantum phase transitions
• Universal nonequilibrium quantum dynamics in imaginary time
• Multicriticality of the (2+1)-dimensional gonihedric model: A realization of the (d,m)=(3,2) Lifshitz point

Cited by in corpus (4)

• Criticalities of the transverse- and longitudinal-field fidelity susceptibilities for the d=2 quantum Ising model
• A Quantum Fidelity Study of the Anisotropic Next-Nearest-Neighbour Triangular Lattice Heisenberg Model
• The magnetic susceptibility on the transverse antiferromagnetic Ising model: Analysis of the reentrant behaviour
• Longitudinal-field fidelity susceptibility analysis of the $J_1$-$J_2$ transverse-field Ising model around $J_2/J_1\approx 0.5$