Experiments on elastomechanical wave functions in chaotic plates and their statistical features
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/298592
- author
- Schaadt, K ; Guhr, Thomas LU ; Ellegaard, C and Oxborrow, M
- organization
- publishing date
- 2003
- 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
- pmid:14524866
- ISSN
- 1063-651X
- DOI
- 10.1103/PhysRevE.68.036205
- language
- English
- LU publication?
- yes
- additional info
- The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Mathematical Physics (Faculty of Technology) (011040002)
- id
- 11b1915c-2bfb-40de-9215-01b26d73f6f6 (old id 298592)
- date added to LUP
- 2016-04-01 16:17:48
- date last changed
- 2022-03-07 04:55:19
@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}}, doi = {{10.1103/PhysRevE.68.036205}}, volume = {{68}}, year = {{2003}}, }