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...

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Autores principales: Novaes, M., Pedrosa, J.M., Wisniacki, D., Carlo, G.G., Keating, J.P.
Formato: JOUR
Materias:
Chaotic resonance
Chaotic scattering
Ehrenfest
Periodic orbits
Quantum baker map
Quantum resonances
Chaotic systems
Orbits
Wave functions
Resonance
Acceso en línea: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 todo:paper_15393755_v80_n3_p_Novaes
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spelling todo:paper_15393755_v80_n3_p_Novaes2023-10-03T16:22:29Z Quantum chaotic resonances from short periodic orbits Novaes, M. Pedrosa, J.M. Wisniacki, D. Carlo, G.G. Keating, J.P. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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
Novaes, M.
Pedrosa, J.M.
Wisniacki, D.
Carlo, G.G.
Keating, J.P.
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.
format JOUR
author Novaes, M.
Pedrosa, J.M.
Wisniacki, D.
Carlo, G.G.
Keating, J.P.
author_facet Novaes, M.
Pedrosa, J.M.
Wisniacki, D.
Carlo, G.G.
Keating, J.P.
author_sort Novaes, M.
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
url http://hdl.handle.net/20.500.12110/paper_15393755_v80_n3_p_Novaes
work_keys_str_mv AT novaesm quantumchaoticresonancesfromshortperiodicorbits
AT pedrosajm quantumchaoticresonancesfromshortperiodicorbits
AT wisniackid quantumchaoticresonancesfromshortperiodicorbits
AT carlogg quantumchaoticresonancesfromshortperiodicorbits
AT keatingjp quantumchaoticresonancesfromshortperiodicorbits
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