Fidelity of the near resonant quantum kicked rotor

Details Fidelity of the near resonant quantum kicked rotor Fidelity of the near resonant quantum kicked rotor

2011-04-14

arxiv.org/abs/1104.2704v2

B Probst et al 2011 J. Phys. A: Math. Theor. 44 335101

Physics

Quantum Physics

14 pages, 7 figures; Revised version

Scientific paper

10.1088/1751-8113/44/33/335101

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.

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