Quantum chaotic resonances from short periodic orbits

We present an approach to calculating the quantum resonances and resonance wave functions of chaotic scattering systems, based on the construction of states localized on classical periodic orbits and adapted to the dynamics. Typically only a few such states are necessary for constructing a resonance...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Wisniacki, Diego A., Carlo, Gabriel Gustavo
Publicado:	2009
Materias:	Chaotic resonance Chaotic scattering Ehrenfest Periodic orbits Quantum baker map Quantum resonances Chaotic systems Orbits Wave functions Resonance
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v80_n3_p_Novaes http://hdl.handle.net/20.500.12110/paper_15393755_v80_n3_p_Novaes
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_15393755_v80_n3_p_Novaes
record_format	dspace
spelling	paper:paper_15393755_v80_n3_p_Novaes2023-06-08T16:20:44Z Quantum chaotic resonances from short periodic orbits Wisniacki, Diego A. Carlo, Gabriel Gustavo Chaotic resonance Chaotic scattering Ehrenfest Periodic orbits Quantum baker map Quantum resonances Chaotic systems Orbits Wave functions Resonance We present an approach to calculating the quantum resonances and resonance wave functions of chaotic scattering systems, based on the construction of states localized on classical periodic orbits and adapted to the dynamics. Typically only a few such states are necessary for constructing a resonance. Using only short orbits (with periods up to the Ehrenfest time), we obtain approximations to the longest-living states, avoiding computation of the background of short living states. This makes our approach considerably more efficient than previous ones. The number of long-lived states produced within our formulation is in agreement with the fractal Weyl law conjectured recently in this setting. We confirm the accuracy of the approximations using the open quantum baker map as an example. © 2009 The American Physical Society. Fil:Wisniacki, D. 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. 2009 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v80_n3_p_Novaes http://hdl.handle.net/20.500.12110/paper_15393755_v80_n3_p_Novaes
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Chaotic resonance Chaotic scattering Ehrenfest Periodic orbits Quantum baker map Quantum resonances Chaotic systems Orbits Wave functions Resonance
spellingShingle	Chaotic resonance Chaotic scattering Ehrenfest Periodic orbits Quantum baker map Quantum resonances Chaotic systems Orbits Wave functions Resonance Wisniacki, Diego A. Carlo, Gabriel Gustavo Quantum chaotic resonances from short periodic orbits
topic_facet	Chaotic resonance Chaotic scattering Ehrenfest Periodic orbits Quantum baker map Quantum resonances Chaotic systems Orbits Wave functions Resonance
description	We present an approach to calculating the quantum resonances and resonance wave functions of chaotic scattering systems, based on the construction of states localized on classical periodic orbits and adapted to the dynamics. Typically only a few such states are necessary for constructing a resonance. Using only short orbits (with periods up to the Ehrenfest time), we obtain approximations to the longest-living states, avoiding computation of the background of short living states. This makes our approach considerably more efficient than previous ones. The number of long-lived states produced within our formulation is in agreement with the fractal Weyl law conjectured recently in this setting. We confirm the accuracy of the approximations using the open quantum baker map as an example. © 2009 The American Physical Society.
author	Wisniacki, Diego A. Carlo, Gabriel Gustavo
author_facet	Wisniacki, Diego A. Carlo, Gabriel Gustavo
author_sort	Wisniacki, Diego A.
title	Quantum chaotic resonances from short periodic orbits
title_short	Quantum chaotic resonances from short periodic orbits
title_full	Quantum chaotic resonances from short periodic orbits
title_fullStr	Quantum chaotic resonances from short periodic orbits
title_full_unstemmed	Quantum chaotic resonances from short periodic orbits
title_sort	quantum chaotic resonances from short periodic orbits
publishDate	2009
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v80_n3_p_Novaes http://hdl.handle.net/20.500.12110/paper_15393755_v80_n3_p_Novaes
work_keys_str_mv	AT wisniackidiegoa quantumchaoticresonancesfromshortperiodicorbits AT carlogabrielgustavo quantumchaoticresonancesfromshortperiodicorbits
_version_	1768543292921741312

Quantum chaotic resonances from short periodic orbits

Ejemplares similares