Quantized Orbits and Resonant Transport

Details Quantized Orbits and Resonant Transport Quantized Orbits and Resonant Transport

1999-10-08

arxiv.org/abs/chao-dyn/9910012v1

Nonlinear Sciences

Chaotic Dynamics

REVTEX document - 8 pages + 3 postscript figures. Submitted to Phys.Rev.Lett

Scientific paper

10.1103/PhysRevLett.84.4581

A tight binding representation of the kicked Harper model is used to obtain an integrable semiclassical Hamiltonian consisting of degenerate "quantized" orbits. New orbits appear when renormalized Harper parameters cross integer multiples of $\pi/2$. Commensurability relations between the orbit frequencies are shown to correlate with the emergence of accelerator modes in the classical phase space of the original kicked problem. The signature of this resonant transport is seen in both classical and quantum behavior. An important feature of our analysis is the emergence of a natural scaling relating classical and quantum couplings which is necessary for establishing correspondence.

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