Quantum Resonances of Kicked Rotor and SU(q) group

Details Quantum Resonances of Kicked Rotor and SU(q) group Quantum Resonances of Kicked Rotor and SU(q) group

1999-07-26

arxiv.org/abs/chao-dyn/9907033v1

Physics

Condensed Matter

RevTeX, 4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.84.3566

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 $q$, we relate the problem to the {\it 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 non-linear resonance.

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