Coupling coefficient distribution in the doorway mechanism
(2010) In New Journal of Physics 12.- Abstract
- In many-body and other systems, the physics situation often allows one to interpret certain, distinct states by means of a simple picture. In this interpretation, the distinct states are not eigenstates of the full Hamiltonian. Hence, there is an interaction that makes the distinct states act as doorways into background states which are modeled statistically. The crucial quantities are the overlaps between the eigenstates of the full Hamiltonian and the doorway states, that is, the coupling coefficients occurring in the expansion of true eigenstates in the simple model basis. Recently, the distribution of the maximum coupling coefficients was introduced as a new, highly sensitive statistical observable. In the particularly important regime... (More)
- In many-body and other systems, the physics situation often allows one to interpret certain, distinct states by means of a simple picture. In this interpretation, the distinct states are not eigenstates of the full Hamiltonian. Hence, there is an interaction that makes the distinct states act as doorways into background states which are modeled statistically. The crucial quantities are the overlaps between the eigenstates of the full Hamiltonian and the doorway states, that is, the coupling coefficients occurring in the expansion of true eigenstates in the simple model basis. Recently, the distribution of the maximum coupling coefficients was introduced as a new, highly sensitive statistical observable. In the particularly important regime of weak interactions, this distribution is very well approximated by the fidelity distribution, defined as the distribution of the overlap between the doorway states with interaction and without interaction. Using a random matrix model, we calculate the latter distribution exactly for regular and chaotic background states in the cases of preserved and fully broken time-reversal invariance. We also perform numerical simulations and find excellent agreement with our analytical results. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1673009
- author
- Kohler, Heiner ; Guhr, Thomas and Åberg, Sven LU
- organization
- publishing date
- 2010
- type
- Contribution to journal
- publication status
- published
- subject
- in
- New Journal of Physics
- volume
- 12
- article number
- 073026
- publisher
- IOP Publishing
- external identifiers
-
- wos:000281232700005
- scopus:77955392810
- ISSN
- 1367-2630
- DOI
- 10.1088/1367-2630/12/7/073026
- 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
- 0da9ca49-3b85-464d-bf6b-cd0687fa265b (old id 1673009)
- date added to LUP
- 2016-04-01 13:10:42
- date last changed
- 2023-09-02 20:09:10
@article{0da9ca49-3b85-464d-bf6b-cd0687fa265b,
abstract = {{In many-body and other systems, the physics situation often allows one to interpret certain, distinct states by means of a simple picture. In this interpretation, the distinct states are not eigenstates of the full Hamiltonian. Hence, there is an interaction that makes the distinct states act as doorways into background states which are modeled statistically. The crucial quantities are the overlaps between the eigenstates of the full Hamiltonian and the doorway states, that is, the coupling coefficients occurring in the expansion of true eigenstates in the simple model basis. Recently, the distribution of the maximum coupling coefficients was introduced as a new, highly sensitive statistical observable. In the particularly important regime of weak interactions, this distribution is very well approximated by the fidelity distribution, defined as the distribution of the overlap between the doorway states with interaction and without interaction. Using a random matrix model, we calculate the latter distribution exactly for regular and chaotic background states in the cases of preserved and fully broken time-reversal invariance. We also perform numerical simulations and find excellent agreement with our analytical results.}},
author = {{Kohler, Heiner and Guhr, Thomas and Åberg, Sven}},
issn = {{1367-2630}},
language = {{eng}},
publisher = {{IOP Publishing}},
series = {{New Journal of Physics}},
title = {{Coupling coefficient distribution in the doorway mechanism}},
url = {{http://dx.doi.org/10.1088/1367-2630/12/7/073026}},
doi = {{10.1088/1367-2630/12/7/073026}},
volume = {{12}},
year = {{2010}},
}