Fidelity susceptibility in Gaussian Random Ensembles
Disordered Systems and Neural Networks
2020-04-10 v2 Statistical Mechanics
Mathematical Physics
math.MP
Quantum Physics
Abstract
The fidelity susceptibility measures sensitivity of eigenstates to a change of an external parameter. It has been fruitfully used to pin down quantum phase transitions when applied to ground states (with extensions to thermal states). Here we propose to use the fidelity susceptibility as a useful dimensionless measure for complex quantum systems. We find analytically the fidelity susceptibility distributions for Gaussian orthogonal and unitary universality classes for arbitrary system size. The results are verified by a comparison with numerical data.
Cite
@article{arxiv.1812.04853,
title = {Fidelity susceptibility in Gaussian Random Ensembles},
author = {Piotr Sierant and Artur Maksymov and Marek Kuś and Jakub Zakrzewski},
journal= {arXiv preprint arXiv:1812.04853},
year = {2020}
}
Comments
2nd version, 5+5pp, comments welcome