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Statistical measures of chaos in quantum systems

Persson, Per and Aberg, Sven LU (1995) In Physical Review E 52(1). p.148-153
Abstract

A simple model, based on random matrix theory, is utilized for the description of energy levels and level dynamics in mixed regular and chaotic quantum systems. We find that different types of level statistics, such as nearest neighbor distributions, long-range correlations, wave function analysis, curvature distributions, etc., show dramatically different sensitivity to the "chaoticity parameter." Differences between long-range and short-range fluctuation measures are explained in terms of localization of the wave functions.

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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review E
volume
52
issue
1
pages
6 pages
publisher
American Physical Society
external identifiers
  • scopus:0000311471
ISSN
1063-651X
DOI
10.1103/PhysRevE.52.148
language
English
LU publication?
yes
id
b5d14500-30ca-40f7-91e5-aa2815436b06
date added to LUP
2025-09-02 14:42:19
date last changed
2025-09-09 14:43:09
@article{b5d14500-30ca-40f7-91e5-aa2815436b06,
  abstract     = {{<p>A simple model, based on random matrix theory, is utilized for the description of energy levels and level dynamics in mixed regular and chaotic quantum systems. We find that different types of level statistics, such as nearest neighbor distributions, long-range correlations, wave function analysis, curvature distributions, etc., show dramatically different sensitivity to the "chaoticity parameter." Differences between long-range and short-range fluctuation measures are explained in terms of localization of the wave functions.</p>}},
  author       = {{Persson, Per and Aberg, Sven}},
  issn         = {{1063-651X}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{148--153}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review E}},
  title        = {{Statistical measures of chaos in quantum systems}},
  url          = {{http://dx.doi.org/10.1103/PhysRevE.52.148}},
  doi          = {{10.1103/PhysRevE.52.148}},
  volume       = {{52}},
  year         = {{1995}},
}