Detection of avoided crossings by fidelity

Patrick Plötz, Michael Lubasch and Sandro Wimberger

Physica A: Statistical Mechanics and its Applications, 2011, vol. 390, issue 7, 1363-1369

Abstract: The fidelity, defined as overlap of eigenstates of two slightly different Hamiltonians, is proposed as an efficient detector of avoided crossings in the energy spectrum. This new application of fidelity is motivated for model systems, and its value for analyzing complex quantum spectra is underlined by applying it to a random matrix model and a tilted Bose–Hubbard system.

Keywords: Avoided crossings; Fidelity; Quantum chaos; Complex systems (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:390:y:2011:i:7:p:1363-1369

DOI: 10.1016/j.physa.2010.12.017

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