Intrinsic relation between ground-state fidelity and the characterization of a quantum phase transition
Other Condensed Matter
2008-03-25 v2 Statistical Mechanics
Abstract
The notion of fidelity in quantum information science has been recently applied to analyze quantum phase transitions from the viewpoint of the ground state (GS) overlap for various many-body systems. In this work, we unveil the intrinsic relation between the GS fidelity and the derivatives of GS energy and find that they play equivalent role in identifying the quantum phase transition. The general connection between the two approaches enables us to understand the different singularity and scaling behaviors of fidelity exhibited in various systems on general grounds. Our general conclusions are illustrated via several quantum spin models which exhibit different kinds of QPTs.
Cite
@article{arxiv.0801.0020,
title = {Intrinsic relation between ground-state fidelity and the characterization of a quantum phase transition},
author = {Shu Chen and Li Wang and Yajiang Hao and Yupeng Wang},
journal= {arXiv preprint arXiv:0801.0020},
year = {2008}
}
Comments
5 pages, 3 figures