Physics – Condensed Matter
Scientific paper
1998-09-27
Phys. Rev. E, 59 (1999), 294
Physics
Condensed Matter
21 pages RevTex, 8 figures in GIF format. Accepted to Phys. Rev E
Scientific paper
10.1103/PhysRevE.59.294
Quantum weak chaos is studied in a perturbed degenerate system --- a charged particle interacting with a monochromatic wave in a transverse magnetic field. The evolution operator for an arbitrary number of periods of the external field is built and its structure is explored in terms of the QE (quasienergy eigenstates) under resonance condition (wave frequency $=$ cyclotron frequency) in the regime of weak classical chaos. The new phenomenon of diffusion via the quantum separatrices and the influence of chaos on diffusion are investigated and, in the quasi classical limit, compared with its classical dynamics. We determine the crossover from purely quantum diffusion to a diffusion which is the quantum manifestation of classical diffusion along the stochastic web. This crossover results from the non-monotonic dependence of the characteristic localization length of the QE states on the wave amplitude. The width of the quantum separatrices was computed and compared with the width of the classical stochastic web. We give the physical parameters which can be realized experimentally to show the manifestation of quantum chaos in nonlinear acoustic resonance.
Demikhovskii Ya. V.
Kamenev Dimitry I.
Luna-Acosta Germán A.
No associations
LandOfFree
Quantum weak chaos in a degenerate system 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 weak chaos in a degenerate system, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum weak chaos in a degenerate system will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-307251