Quasi-energy distributions in the kicked Harper model

We study a one-dimensional kicked quantum system characterized by a single classical parameter γ and a quantum parameter N∝ħ −1. An ensemble of time evolution operators is obtained by varying the phase-space boundary conditions, and the spectral correlations are studied within this ensemble. As γ te...

Full description

Saved in:
Bibliographic Details
Published in:Physics letters. A 1991-09, Vol.158 (9), p.469-474
Main Authors: Wei, Dan, Arovas, D.P.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Nonlinear dynamics and nonlinear dynamical systems
Physics
Statistical physics, thermodynamics, and nonlinear dynamical systems
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We study a one-dimensional kicked quantum system characterized by a single classical parameter γ and a quantum parameter N∝ħ −1. An ensemble of time evolution operators is obtained by varying the phase-space boundary conditions, and the spectral correlations are studied within this ensemble. As γ tends to infinity, rendering the classical ( N→∞) limit strongly chaotic, the quasi-energy pair correlation function g γ(ω) tends toward a limit, which for large N is well described by the level statistics of circular random matrix ensembles.
ISSN:0375-9601
1873-2429
DOI:10.1016/0375-9601(91)90462-H