Detection of avoided crossings by fidelity

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...

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Hauptverfasser: Plötz, Patrick (VerfasserIn) , Lubasch, Michael (VerfasserIn) , Wimberger, Sandro (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 2011
In: Physica. A, Statistical mechanics and its applications
Year: 2011, Jahrgang: 390, Heft: 7, Pages: 1363-1369
ISSN:1873-2119
DOI:10.1016/j.physa.2010.12.017
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.physa.2010.12.017
Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/S0378437110010496
Volltext
Verfasserangaben:Patrick Plötz, Michael Lubasch, Sandro Wimberger
Beschreibung
Zusammenfassung: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.
Beschreibung:Available online 22 December 2010
Gesehen am 23.12.2022
Beschreibung:Online Resource
ISSN:1873-2119
DOI:10.1016/j.physa.2010.12.017