Detection of avoided crossings by fidelity
Quantum Physics
2011-02-03 v3 Quantum Gases
Abstract
The fidelity, defined as overlap of eigenstates of two slightly different Hamiltonians, is proposed as an efficient detector of avoided c rossings in the energy spectrum. This new application of fidelity is motivated for model systems, and its value for analyzing complex qua ntum spectra is underlined by applying it to a random matrix model and a tilted Bose-Hubbard system.
Keywords
Cite
@article{arxiv.0909.4333,
title = {Detection of avoided crossings by fidelity},
author = {Patrick Plötz and Michael Lubasch and Sandro Wimberger},
journal= {arXiv preprint arXiv:0909.4333},
year = {2011}
}
Comments
more comprehensive version including new theory and data analysis