Fidelity of the near-resonant quantum kicked rotor

We present a perturbative result for the temporal evolution of the fidelity of the quantum kicked rotor, i.e. the overlap of the same initial state evolved with two slightly different kicking strengths, for kicking periods close to a principal quantum resonance. Based on a pendulum approximation, we...

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Hauptverfasser: Probst, Benedikt (VerfasserIn) , Dubertrand, Rémy (VerfasserIn) , Wimberger, Sandro (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 27 July 2011
In: Journal of physics. A, Mathematical and theoretical
Year: 2011, Jahrgang: 44, Heft: 33, Pages: 1-12
ISSN:1751-8121
DOI:10.1088/1751-8113/44/33/335101
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1088/1751-8113/44/33/335101
Verlag, lizenzpflichtig, Volltext: https://dx.doi.org/10.1088/1751-8113/44/33/335101
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Verfasserangaben:B. Probst, R. Dubertrand and S. Wimberger
Beschreibung
Zusammenfassung:We present a perturbative result for the temporal evolution of the fidelity of the quantum kicked rotor, i.e. the overlap of the same initial state evolved with two slightly different kicking strengths, for kicking periods close to a principal quantum resonance. Based on a pendulum approximation, we describe the fidelity for rotational orbits in the pseudo-classical phase space of a corresponding classical map. Our results are compared to numerical simulations indicating the range of applicability of our analytical approximation.
Beschreibung:Gesehen am 17.01.2023
Beschreibung:Online Resource
ISSN:1751-8121
DOI:10.1088/1751-8113/44/33/335101