Universal wave functions structure in mixed systems

When a regular classical system is perturbed, nonlinear resonances appear as prescribed by the KAM and Poincarè-Birkhoff theorems. Manifestations of this classical phenomena to the morphologies of quantum wave functions are studied in this letter. We reveal a systematic formation of a universal stru...

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Autor principal: Wisniacki, D.A.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_02955075_v106_n6_p_Wisniacki
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_02955075_v106_n6_p_Wisniacki2023-10-03T15:17:21Z Universal wave functions structure in mixed systems Wisniacki, D.A. When a regular classical system is perturbed, nonlinear resonances appear as prescribed by the KAM and Poincarè-Birkhoff theorems. Manifestations of this classical phenomena to the morphologies of quantum wave functions are studied in this letter. We reveal a systematic formation of a universal structure of localized wave functions in systems with mixed classical dynamics. Unperturbed states that live around invariant tori are mixed when they collide in an avoided crossing if their quantum numbers differ in a multiple of the order of the classical resonance. At the avoided crossing eigenstates are localized in the island chain or in the vicinity of the unstable periodic orbit corresponding to the resonance. The difference of the quantum numbers determines the excitation of the localized states which is revealed using the zeros of the Husimi distribution. © CopyrightEPLA, 2014. Fil:Wisniacki, D.A. 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_02955075_v106_n6_p_Wisniacki
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description When a regular classical system is perturbed, nonlinear resonances appear as prescribed by the KAM and Poincarè-Birkhoff theorems. Manifestations of this classical phenomena to the morphologies of quantum wave functions are studied in this letter. We reveal a systematic formation of a universal structure of localized wave functions in systems with mixed classical dynamics. Unperturbed states that live around invariant tori are mixed when they collide in an avoided crossing if their quantum numbers differ in a multiple of the order of the classical resonance. At the avoided crossing eigenstates are localized in the island chain or in the vicinity of the unstable periodic orbit corresponding to the resonance. The difference of the quantum numbers determines the excitation of the localized states which is revealed using the zeros of the Husimi distribution. © CopyrightEPLA, 2014.
format JOUR
author Wisniacki, D.A.
spellingShingle Wisniacki, D.A.
Universal wave functions structure in mixed systems
author_facet Wisniacki, D.A.
author_sort Wisniacki, D.A.
title Universal wave functions structure in mixed systems
title_short Universal wave functions structure in mixed systems
title_full Universal wave functions structure in mixed systems
title_fullStr Universal wave functions structure in mixed systems
title_full_unstemmed Universal wave functions structure in mixed systems
title_sort universal wave functions structure in mixed systems
url http://hdl.handle.net/20.500.12110/paper_02955075_v106_n6_p_Wisniacki
work_keys_str_mv AT wisniackida universalwavefunctionsstructureinmixedsystems
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