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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Autores principales: Wisniacki, Diego A., Vergini, Eduardo Germán
Publicado: 1999
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article
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1063651X_v59_n6_p6579_Wisniacki
http://hdl.handle.net/20.500.12110/paper_1063651X_v59_n6_p6579_Wisniacki
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_1063651X_v59_n6_p6579_Wisniacki
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spelling paper:paper_1063651X_v59_n6_p6579_Wisniacki2023-06-08T16:03:44Z Influence of phase-space localization on the energy diffusion in a quantum chaotic billiard Wisniacki, Diego A. Vergini, Eduardo Germán 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. 1999 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1063651X_v59_n6_p6579_Wisniacki http://hdl.handle.net/20.500.12110/paper_1063651X_v59_n6_p6579_Wisniacki
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic article
spellingShingle article
Wisniacki, Diego A.
Vergini, Eduardo Germán
Influence of phase-space localization on the energy diffusion in a quantum chaotic billiard
topic_facet article
description 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.
author Wisniacki, Diego A.
Vergini, Eduardo Germán
author_facet Wisniacki, Diego A.
Vergini, Eduardo Germán
author_sort Wisniacki, Diego 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
publishDate 1999
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1063651X_v59_n6_p6579_Wisniacki
http://hdl.handle.net/20.500.12110/paper_1063651X_v59_n6_p6579_Wisniacki
work_keys_str_mv AT wisniackidiegoa influenceofphasespacelocalizationontheenergydiffusioninaquantumchaoticbilliard
AT verginieduardogerman influenceofphasespacelocalizationontheenergydiffusioninaquantumchaoticbilliard
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