Quantum Kicked Dynamics and Classical Diffusion

Details Quantum Kicked Dynamics and Classical Diffusion Quantum Kicked Dynamics and Classical Diffusion

1997-01-05

arxiv.org/abs/chao-dyn/9701007v1

Phys. Lett. A 231, 344-346 (1997)

Nonlinear Sciences

Chaotic Dynamics

9 pages, LaTeX. Comments are welcome

Scientific paper

10.1016/S0375-9601(97)00358-7

We consider the quantum counterpart of the kicked harmonic oscillator showing that it undergoes the effect of delocalization in momentum when the classical diffusional threshold is obeyed. For this case the ratio between the oscillator frequency and the frequency of the kick is a rational number, strictly in analogy with the classical case that does not obey the Kolmogorov-Arnold-Moser theorem as the unperturbed motion is degenerate. A tight-binding formulation is derived showing that there is not delocalization in momentum for irrational ratio of the above frequencies. In this way, it is straightforwardly seen that the behavior of the quantum kicked rotator is strictly similar to the one of the quantum kicked harmonic oscillator, although the former, in the classical limit, obeys the Kolmogorov-Arnold-Moser theorem.

Affiliated with

Also associated with

No associations

Rating

Quantum Kicked Dynamics and Classical Diffusion does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quantum Kicked Dynamics and Classical Diffusion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum Kicked Dynamics and Classical Diffusion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-271362