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Experiments on elastomechanical wave functions in chaotic plates and their statistical features

Schaadt, K; Guhr, Thomas LU ; Ellegaard, C and Oxborrow, M (2003) In Physical Review E 68(3: 036205).
Abstract
We measure the amplitude of the elastomechanical displacement at a fine grid of points on a free plate having the shape of a Sinai stadium. The obtained displacement field formally corresponds to a wave function in a quantum system. While the distribution of the squared amplitudes agrees with the prediction of random matrix theory (RMT), there is a strong deviation of the spatial correlator from the standard prediction for quantum chaotic systems. We show that this is due to the presence of two modes, leading to a beating phenomenon. We construct a proper extension of the spatial correlator within the framework of RMT.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review E
volume
68
issue
3: 036205
publisher
American Physical Society
external identifiers
  • wos:000185756400050
  • scopus:0242411814
ISSN
1063-651X
DOI
10.1103/PhysRevE.68.036205
language
English
LU publication?
yes
id
11b1915c-2bfb-40de-9215-01b26d73f6f6 (old id 298592)
date added to LUP
2007-09-21 10:53:52
date last changed
2018-01-07 09:10:19
@article{11b1915c-2bfb-40de-9215-01b26d73f6f6,
  abstract     = {We measure the amplitude of the elastomechanical displacement at a fine grid of points on a free plate having the shape of a Sinai stadium. The obtained displacement field formally corresponds to a wave function in a quantum system. While the distribution of the squared amplitudes agrees with the prediction of random matrix theory (RMT), there is a strong deviation of the spatial correlator from the standard prediction for quantum chaotic systems. We show that this is due to the presence of two modes, leading to a beating phenomenon. We construct a proper extension of the spatial correlator within the framework of RMT.},
  author       = {Schaadt, K and Guhr, Thomas and Ellegaard, C and Oxborrow, M},
  issn         = {1063-651X},
  language     = {eng},
  number       = {3: 036205},
  publisher    = {American Physical Society},
  series       = {Physical Review E},
  title        = {Experiments on elastomechanical wave functions in chaotic plates and their statistical features},
  url          = {http://dx.doi.org/10.1103/PhysRevE.68.036205},
  volume       = {68},
  year         = {2003},
}