Quantum Resonances of Kicked Rotor and SU(q) group
chao-dyn
2013-01-16 v1 Condensed Matter
Chaotic Dynamics
Abstract
The quantum kicked rotor (QKR) map is embedded into a continuous unitary transformation generated by a time-independent quasi-Hamiltonian. In some vicinity of a quantum resonance of order , we relate the problem to the {\it regular} motion along a circle in a -component inhomogeneous "magnetic" field of a quantum particle with intrinsic degrees of freedom described by the group. This motion is in parallel with the classical phase oscillations near a non-linear resonance.
Keywords
Cite
@article{arxiv.chao-dyn/9907033,
title = {Quantum Resonances of Kicked Rotor and SU(q) group},
author = {V. V. Sokolov and O. V. Zhirov and D. Alonso and G. Casati},
journal= {arXiv preprint arXiv:chao-dyn/9907033},
year = {2013}
}
Comments
RevTeX, 4 pages, 3 figures