The scaling behavior of logarithmic fidelity in quantum phase transition in LMG model
Statistical Mechanics
2016-12-23 v2 Mesoscale and Nanoscale Physics
Quantum Physics
Abstract
In this paper, we explore the differences between classical logarithmic fidelity and quantum fidelity. The classical logarithmic fidelity is found to be always extensive while the quantum one manifests distinct size dependence in different phases. Illustrated by the anisotropic Lipkin-Meshkov-Glick model, we found numerically and analytically that the logarithmic fidelity scales like N in the symmetry-broken phase and scales like N^0 in the polarized phase. The singular behavior around the critical point is also investigated.
Keywords
Cite
@article{arxiv.1612.04690,
title = {The scaling behavior of logarithmic fidelity in quantum phase transition in LMG model},
author = {Ching-Yee Leung and Ho-Man Kwok and Shi-Jian Gu and Hai-Qing Lin},
journal= {arXiv preprint arXiv:1612.04690},
year = {2016}
}
Comments
6 pages, 6 figures, was done in 2010