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Fidelity of the near resonant quantum kicked rotor

By Benedikt Probst, Remy Dubertrand and Sandro Wimberger

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.Comment: 14 pages, 7 figures; Revised versio

Topics: Quantum Physics
Year: 2011
DOI identifier: 10.1088/1751-8113/44/33/335101
OAI identifier: oai:arXiv.org:1104.2704
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