On the Spectrum of the Resonant Quantum Kicked Rotor
Mathematical Physics
2015-05-13 v2 math.MP
Quantum Physics
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.
Keywords
Cite
@article{arxiv.0902.3896,
title = {On the Spectrum of the Resonant Quantum Kicked Rotor},
author = {Italo Guarneri},
journal= {arXiv preprint arXiv:0902.3896},
year = {2015}
}
Comments
Description of related published work has been expanded in the Introduction