On the Spectrum of the Resonant Quantum Kicked Rotor

Details On the Spectrum of the Resonant Quantum Kicked Rotor On the Spectrum of the Resonant Quantum Kicked Rotor

2009-02-23

arxiv.org/abs/0902.3896v2

Physics

Mathematical Physics

Description of related published work has been expanded in the Introduction

Scientific paper

It is proven that none of the bands in the quasi-energy spectrum of the Quantum Kicked Rotor is flat at any primitive resonance of any order. Perturbative estimates of bandwidths at small kick strength are established for the case of primitive resonances of prime order. Different bands scale with different powers of the kick strength, due to degeneracies in the spectrum of the free rotor.

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