Localization of resonance eigenfunctions on quantum repellers

We introduce a new phase space representation for open quantum systems. This is a very powerful tool to help advance in the study of the morphology of their eigenstates. We apply it to two different versions of a paradigmatic model, the baker map. This allows us to show that the long-lived resonance...

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Detalles Bibliográficos
Autores principales: Ermann, L., Carlo, G.G., Saraceno, M.
Formato: JOUR
Materias:
Eigen function
Eigenstates
Open quantum systems
Periodic orbits
Phase space representation
Eigenvalues and eigenfunctions
Phase space methods
Quantum electronics
Quantum optics
Resonance
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00319007_v103_n5_p_Ermann
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00319007_v103_n5_p_Ermann
record_format dspace
spelling todo:paper_00319007_v103_n5_p_Ermann2023-10-03T14:42:05Z Localization of resonance eigenfunctions on quantum repellers Ermann, L. Carlo, G.G. Saraceno, M. Eigen function Eigenstates Open quantum systems Periodic orbits Phase space representation Eigenvalues and eigenfunctions Phase space methods Quantum electronics Quantum optics Resonance We introduce a new phase space representation for open quantum systems. This is a very powerful tool to help advance in the study of the morphology of their eigenstates. We apply it to two different versions of a paradigmatic model, the baker map. This allows us to show that the long-lived resonances are strongly scarred along the shortest periodic orbits that belong to the classical repeller. Moreover, the shape of the short-lived eigenstates is also analyzed. Finally, we apply an antiunitary symmetry measure to the resonances that allows us to quantify their localization on the repeller. © 2009 The American Physical Society. Fil:Ermann, L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Carlo, G.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Saraceno, M. 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_00319007_v103_n5_p_Ermann
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Eigen function
Eigenstates
Open quantum systems
Periodic orbits
Phase space representation
Eigenvalues and eigenfunctions
Phase space methods
Quantum electronics
Quantum optics
Resonance
spellingShingle Eigen function
Eigenstates
Open quantum systems
Periodic orbits
Phase space representation
Eigenvalues and eigenfunctions
Phase space methods
Quantum electronics
Quantum optics
Resonance
Ermann, L.
Carlo, G.G.
Saraceno, M.
Localization of resonance eigenfunctions on quantum repellers
topic_facet Eigen function
Eigenstates
Open quantum systems
Periodic orbits
Phase space representation
Eigenvalues and eigenfunctions
Phase space methods
Quantum electronics
Quantum optics
Resonance
description We introduce a new phase space representation for open quantum systems. This is a very powerful tool to help advance in the study of the morphology of their eigenstates. We apply it to two different versions of a paradigmatic model, the baker map. This allows us to show that the long-lived resonances are strongly scarred along the shortest periodic orbits that belong to the classical repeller. Moreover, the shape of the short-lived eigenstates is also analyzed. Finally, we apply an antiunitary symmetry measure to the resonances that allows us to quantify their localization on the repeller. © 2009 The American Physical Society.
format JOUR
author Ermann, L.
Carlo, G.G.
Saraceno, M.
author_facet Ermann, L.
Carlo, G.G.
Saraceno, M.
author_sort Ermann, L.
title Localization of resonance eigenfunctions on quantum repellers
title_short Localization of resonance eigenfunctions on quantum repellers
title_full Localization of resonance eigenfunctions on quantum repellers
title_fullStr Localization of resonance eigenfunctions on quantum repellers
title_full_unstemmed Localization of resonance eigenfunctions on quantum repellers
title_sort localization of resonance eigenfunctions on quantum repellers
url http://hdl.handle.net/20.500.12110/paper_00319007_v103_n5_p_Ermann
work_keys_str_mv AT ermannl localizationofresonanceeigenfunctionsonquantumrepellers
AT carlogg localizationofresonanceeigenfunctionsonquantumrepellers
AT saracenom localizationofresonanceeigenfunctionsonquantumrepellers
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