Influence of phase-space localization on the energy diffusion in a quantum chaotic billiard
The quantum dynamics of a chaotic billiard with moving boundary is considered in this paper. We found a shape parameter Hamiltonian expansion, which enables us to obtain the spectrum of the deformed billiard for deformations so large as the characteristic wavelength. Then, for a specified time-depen...
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todo:paper_1063651X_v59_n6_p6579_Wisniacki2023-10-03T16:01:25Z Influence of phase-space localization on the energy diffusion in a quantum chaotic billiard Wisniacki, D.A. Vergini, E. article The quantum dynamics of a chaotic billiard with moving boundary is considered in this paper. We found a shape parameter Hamiltonian expansion, which enables us to obtain the spectrum of the deformed billiard for deformations so large as the characteristic wavelength. Then, for a specified time-dependent shape variation, the quantum dynamics of a particle inside the billiard is integrated directly. In particular, the dispersion of the energy is studied in the Bunimovich stadium billiard with oscillating boundary. The results showed that the distribution of energy spreads diffusively for the first oscillations of the boundary [Formula Presented]. We studied the diffusion constant D as a function of the boundary velocity and found differences with theoretical predictions based on random matrix theory. By extracting highly phase-space localized structures from the spectrum, previous differences were reduced significantly. This fact provides numerical evidence of the influence of phase-space localization on the quantum diffusion of a chaotic system. © 1999 The American Physical Society. Fil:Wisniacki, D.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Vergini, E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_1063651X_v59_n6_p6579_Wisniacki |
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Universidad de Buenos Aires |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
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article Wisniacki, D.A. Vergini, E. Influence of phase-space localization on the energy diffusion in a quantum chaotic billiard |
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The quantum dynamics of a chaotic billiard with moving boundary is considered in this paper. We found a shape parameter Hamiltonian expansion, which enables us to obtain the spectrum of the deformed billiard for deformations so large as the characteristic wavelength. Then, for a specified time-dependent shape variation, the quantum dynamics of a particle inside the billiard is integrated directly. In particular, the dispersion of the energy is studied in the Bunimovich stadium billiard with oscillating boundary. The results showed that the distribution of energy spreads diffusively for the first oscillations of the boundary [Formula Presented]. We studied the diffusion constant D as a function of the boundary velocity and found differences with theoretical predictions based on random matrix theory. By extracting highly phase-space localized structures from the spectrum, previous differences were reduced significantly. This fact provides numerical evidence of the influence of phase-space localization on the quantum diffusion of a chaotic system. © 1999 The American Physical Society. |
format |
JOUR |
author |
Wisniacki, D.A. Vergini, E. |
author_facet |
Wisniacki, D.A. Vergini, E. |
author_sort |
Wisniacki, D.A. |
title |
Influence of phase-space localization on the energy diffusion in a quantum chaotic billiard |
title_short |
Influence of phase-space localization on the energy diffusion in a quantum chaotic billiard |
title_full |
Influence of phase-space localization on the energy diffusion in a quantum chaotic billiard |
title_fullStr |
Influence of phase-space localization on the energy diffusion in a quantum chaotic billiard |
title_full_unstemmed |
Influence of phase-space localization on the energy diffusion in a quantum chaotic billiard |
title_sort |
influence of phase-space localization on the energy diffusion in a quantum chaotic billiard |
url |
http://hdl.handle.net/20.500.12110/paper_1063651X_v59_n6_p6579_Wisniacki |
work_keys_str_mv |
AT wisniackida influenceofphasespacelocalizationontheenergydiffusioninaquantumchaoticbilliard AT verginie influenceofphasespacelocalizationontheenergydiffusioninaquantumchaoticbilliard |
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