Fidelity of the near-resonant quantum kicked rotor

• Verfasst von: Probst, Benedikt [VerfasserIn]
• Verfasst von: Dubertrand, Rémy [VerfasserIn]
• Verfasst von: Wimberger, Sandro [VerfasserIn]
• Titel: Fidelity of the near-resonant quantum kicked rotor
• Verf.angabe: B. Probst, R. Dubertrand and S. Wimberger
• E-Jahr: 2011
• Jahr: 27 July 2011
• Umfang: 12 S.
• Fussnoten: Gesehen am 17.01.2023
• Titel Quelle: Enthalten in: Journal of physics / A
• Ort Quelle: Bristol : IOP Publ., 2007
• Jahr Quelle: 2011
• Band/Heft Quelle: 44(2011), 33, Artikel-ID 335101, Seite 1-12
• ISSN Quelle: 1751-8121
• DOI: doi:10.1088/1751-8113/44/33/335101
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1831250535

Abstract

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.