Advanced

Exact fidelity and full fidelity statistics in regular and chaotic surroundings

Kohler, Heiner; Sommers, Hans-Juergen; Åberg, Sven LU and Guhr, Thomas (2010) In Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)2001-01-01+01:002016-01-01+01:00 81(5).
Abstract
For a prepared state exact expressions for the time-dependent mean fidelity as well as for the mean inverse participation ratio are obtained analytically. The prepared state is taken as an eigenstate of the unperturbed system, and the studied fidelity is identical to the survival probability. The full distribution functions of fidelity in the long-time limit and of inverse participation ratio are studied numerically and analytically. Surprising features such as fidelity revival and nonergodicity are observed. The roles of the coupling coefficients and of complexity of background are studied as well.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)2001-01-01+01:002016-01-01+01:00
volume
81
issue
5
publisher
American Physical Society
external identifiers
  • wos:000278148400003
  • scopus:77953117415
ISSN
1539-3755
DOI
10.1103/PhysRevE.81.050103
language
English
LU publication?
yes
id
b9052c5e-a268-48bb-acb0-b2611a425d44 (old id 1616656)
date added to LUP
2010-06-22 14:56:06
date last changed
2018-07-01 03:11:01
@article{b9052c5e-a268-48bb-acb0-b2611a425d44,
  abstract     = {For a prepared state exact expressions for the time-dependent mean fidelity as well as for the mean inverse participation ratio are obtained analytically. The prepared state is taken as an eigenstate of the unperturbed system, and the studied fidelity is identical to the survival probability. The full distribution functions of fidelity in the long-time limit and of inverse participation ratio are studied numerically and analytically. Surprising features such as fidelity revival and nonergodicity are observed. The roles of the coupling coefficients and of complexity of background are studied as well.},
  author       = {Kohler, Heiner and Sommers, Hans-Juergen and Åberg, Sven and Guhr, Thomas},
  issn         = {1539-3755},
  language     = {eng},
  number       = {5},
  publisher    = {American Physical Society},
  series       = {Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)2001-01-01+01:002016-01-01+01:00},
  title        = {Exact fidelity and full fidelity statistics in regular and chaotic surroundings},
  url          = {http://dx.doi.org/10.1103/PhysRevE.81.050103},
  volume       = {81},
  year         = {2010},
}