Fidelity of the near-resonant quantum kicked rotor

B. Probst, Remy Dubertrand, S. Wimberger

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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.
Original languageEnglish
Article number335101
JournalJournal of Physics A: Mathematical and Theoretical
Volume44
Issue number33
Early online date27 Jul 2011
DOIs
Publication statusPublished - 19 Aug 2011
Externally publishedYes

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