Loschmidt echo decay from local boundary perturbations

Goussev, Arseni and Richter, Klaus (2007) Loschmidt echo decay from local boundary perturbations. Physical Review E, 75. 015201. ISSN 1539-3755

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Official URL: http://dx.doi.org/10.1103/PhysRevE.75.015201


We investigate the sensitivity of the time evolution of semiclassical wave packets in two-dimensional chaotic billiards with respect to local perturbations of their boundaries. For this purpose, we address, analytically and numerically, the time decay of the Loschmidt echo (LE). We find the LE to decay exponentially in time, with the rate equal to the classical escape rate from an open billiard obtained from the original one by removing the perturbation-affected region of its boundary. Finally, we propose a principal scheme for the experimental observation of the LE decay.

Item Type: Article
Subjects: F300 Physics
G100 Mathematics
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: Arseni Goussev
Date Deposited: 08 Nov 2012 12:12
Last Modified: 17 Dec 2023 13:48
URI: https://nrl.northumbria.ac.uk/id/eprint/10200

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