Journal article
Classical Diffusion and Quantum Level Velocities: Systematic Deviations from Random Matrix Theory
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, Vol.60(4), pp.3992-3999
06/03/1999
Handle:
https://hdl.handle.net/2376/113099
PMID: 11970235
Abstract
We study the response of the quasi-energy levels in the context of quantized
chaotic systems through the level velocity variance and relate them to
classical diffusion coefficients using detailed semiclassical analysis. The
systematic deviations from random matrix theory, assuming independence of
eigenvectors from eigenvalues, is shown to be connected to classical higher
order time correlations of the chaotic system. We study the standard map as a
specific example, and thus the well known oscillatory behavior of the diffusion
coefficient with respect to the parameter is reflected exactly in the
oscillations of the variance of the level velocities. We study the case of
mixed phase-space dynamics as well and note a transition in the scaling
properties of the variance that occurs along with the classical transition to
chaos.
Metrics
10 Record Views
Details
- Title
- Classical Diffusion and Quantum Level Velocities: Systematic Deviations from Random Matrix Theory
- Creators
- Arul Lakshminarayan - Washington State University, Pullman, WANicholas R Cerruti - Washington State University, Pullman, WASteven Tomsovic - Washington State University, Pullman, WA
- Publication Details
- Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, Vol.60(4), pp.3992-3999
- Academic Unit
- Physics and Astronomy, Department of
- Identifiers
- 99900547965901842
- Language
- English
- Resource Type
- Journal article