Gutierrez, Martha and Goussev, Arseni (2009) Long-time saturation of the Loschmidt echo in quantum chaotic billiards. PHYSICAL REVIEW E, 79 (4): 046211. ISSN 1539-3755,
Full text not available from this repository.Abstract
The Loschmidt echo (LE) (or fidelity) quantifies the sensitivity of the time evolution of a quantum system with respect to a perturbation of the Hamiltonian. In a typical chaotic system the LE has been previously argued to exhibit a long-time saturation at a value inversely proportional to the effective size of the Hilbert space of the system. However, until now no quantitative results have been known and, in particular, no explicit expression for the proportionality constant has been proposed. In this paper we perform a quantitative analysis of the phenomenon of the LE saturation and provide the analytical expression for its long-time saturation value for a semiclassical particle in a two-dimensional chaotic billiard. We further perform extensive (fully quantum mechanical) numerical calculations of the LE saturation value and find the numerical results to support the semiclassical theory.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SYSTEMS; STABILITY; FIDELITY; DYNAMICS; MOTION; DECAY; chaos; Hilbert spaces; numerical analysis; quantum theory |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 21 Sep 2020 05:16 |
| Last Modified: | 21 Sep 2020 05:16 |
| URI: | https://pred.uni-regensburg.de/id/eprint/29233 |
Actions (login required)
 |
View Item |
