Quantum resonances of the kicked rotor and the SU(q) group
The quantum kicked rotor map is embedded into a continuous unitary transformation generated by a time-independent quasi Hamiltonian. In some vicinity of a quantum resonance of order q, we relate the problem to the regular motion along a circle in a (q(2)-1) component inhomogeneous "magnetic" field of a quantum particle with q intrinsic degrees of freedom described by the SU(q) group. This motion is in parallel with the classical phase oscillations near a nonlinear resonance.
Sokolov
VV
Budker Institute of Nuclear Physics, 630090 Novosibirsk, Russia.
Zhirov
OV
Alonso
D
Casati
G