|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'506'133
Articles rated: 2609
26 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Hypersensitivity to perturbations of quantum-chaotic wave-packet dynamics | | P.G.Silvestrov
; J. Tworzydlo
; C.W.J.Beenakker
; | | Date: |
30 Jun 2002 | | Journal: | Phys.Rev.E 67, 025204(R) (2003) DOI: 10.1103/PhysRevE.67.025204 | | Subject: | Chaotic Dynamics; Mesoscopic Systems and Quantum Hall Effect | nlin.CD cond-mat.mes-hall | | Abstract: | We re-examine the problem of the ``Loschmidt echo’’, which measures the sensitivity to perturbation of quantum chaotic dynamics. The overlap squared $M(t)$ of two wave packets evolving under slightly different Hamiltonians is shown to have the double-exponential initial decay $propto exp(-{
m constant} imes e^{2lambda_0 t})$ in the main part of phase space. The coefficient $lambda_0$ is the self-averaging Lyapunov exponent. The average decay $ar{M}propto e^{-lambda_1 t}$ is single exponential with a different coefficient $lambda_1$. The volume of phase space that contributes to $ar{M}$ vanishes in the classical limit $hbar o 0$ for times less than the Ehrenfest time $ au_E=fr{1}{2}lambda_0^{-1}|ln hbar|$. It is only after the Ehrenfest time that the average decay is representative for a typical initial condition. | | Source: | arXiv, nlin.CD/0207002 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER