On the Spectrum of the Resonant Quantum Kicked Rotor

Abstract

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.

Description of related published work has been expanded in the Introduction

References in corpus (3)

• Quantum resonances and decoherence for delta-kicked atoms
• General Quantum Resonances of the Kicked Particle
• Quantum Accelerator Modes near Higher-Order Resonances

Cited by in corpus (9)

• Kicked-Harper model vs On-Resonance Double Kicked Rotor Model: From Spectral Difference to Topological Equivalence
• Exponential Quantum Spreading in a Class of Kicked Rotor Systems near High-Order Resonances
• The Gross Pitaevski map as a chaotic dynamical system
• Fidelity for kicked atoms with gravity near a quantum resonance
• Self-duality triggered dynamical transition
• Kicked-rotor quantum resonances in position space: Application to situations of experimental interest
• Spacing ratios in mixed-type systems
• Symmetry and dynamics universality of supermetal in quantum chaos
• Staggered-Ladder Quasienergy Spectra for Generic Quasimomentum and Quantum-Dynamical Manifestations