Criticalities of the transverse- and longitudinal-field fidelity susceptibilities for the d=2 quantum Ising model
arXiv:1307.3603 · doi:10.1103/PhysRevE.88.012129
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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- Ground-state properties of the one-dimensional transverse Ising model in a longitudinal magnetic field
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- A Quantum Fidelity Study of the Anisotropic Next-Nearest-Neighbour Triangular Lattice Heisenberg Model
- Longitudinal-field fidelity susceptibility analysis of the - transverse-field Ising model around