Quantum Resonances of Kicked Rotor and SU(q) group

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 $q$, 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.

arXiv commentRevTeX, 4 pages, 3 figures

References in corpus (2)

• Field theory of the quantum kicked rotor
• Dynamical theory of quantum chaos or hidden random matrix ensemble?

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