Role of short periodic orbits in quantum maps with continuous openings

We apply a recently developed semiclassical theory of short periodic orbits to the continuously open quantum tribaker map. In this paradigmatic system the trajectories are partially bounced back according to continuous reflectivity functions. This is relevant in many situations that include optical...

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Detalles Bibliográficos
Publicado: 2018
Materias:
Cantor sets
Complicated boundary conditions
Optical microresonators
Periodic orbits
Quantum maps
Reflectivity functions
Semiclassical theories
Spectral properties
Reflection
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700045_v97_n4_p_Prado
http://hdl.handle.net/20.500.12110/paper_24700045_v97_n4_p_Prado
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_24700045_v97_n4_p_Prado2023-06-08T16:36:46Z Role of short periodic orbits in quantum maps with continuous openings Cantor sets Complicated boundary conditions Optical microresonators Periodic orbits Quantum maps Reflectivity functions Semiclassical theories Spectral properties Reflection We apply a recently developed semiclassical theory of short periodic orbits to the continuously open quantum tribaker map. In this paradigmatic system the trajectories are partially bounced back according to continuous reflectivity functions. This is relevant in many situations that include optical microresonators and more complicated boundary conditions. In a perturbative regime, the shortest periodic orbits belonging to the classical repeller of the open map - a cantor set given by a region of exactly zero reflectivity - prove to be extremely robust in supporting a set of long-lived resonances of the continuously open quantum maps. Moreover, for steplike functions a significant reduction in the number needed is obtained, similarly to the completely open situation. This happens despite a strong change in the spectral properties when compared to the discontinuous reflectivity case. In order to give a more realistic interpretation of these results we compare with a Fresnel-type reflectivity function. © 2018 American Physical Society. 2018 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700045_v97_n4_p_Prado http://hdl.handle.net/20.500.12110/paper_24700045_v97_n4_p_Prado
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Cantor sets
Complicated boundary conditions
Optical microresonators
Periodic orbits
Quantum maps
Reflectivity functions
Semiclassical theories
Spectral properties
Reflection
spellingShingle Cantor sets
Complicated boundary conditions
Optical microresonators
Periodic orbits
Quantum maps
Reflectivity functions
Semiclassical theories
Spectral properties
Reflection
Role of short periodic orbits in quantum maps with continuous openings
topic_facet Cantor sets
Complicated boundary conditions
Optical microresonators
Periodic orbits
Quantum maps
Reflectivity functions
Semiclassical theories
Spectral properties
Reflection
description We apply a recently developed semiclassical theory of short periodic orbits to the continuously open quantum tribaker map. In this paradigmatic system the trajectories are partially bounced back according to continuous reflectivity functions. This is relevant in many situations that include optical microresonators and more complicated boundary conditions. In a perturbative regime, the shortest periodic orbits belonging to the classical repeller of the open map - a cantor set given by a region of exactly zero reflectivity - prove to be extremely robust in supporting a set of long-lived resonances of the continuously open quantum maps. Moreover, for steplike functions a significant reduction in the number needed is obtained, similarly to the completely open situation. This happens despite a strong change in the spectral properties when compared to the discontinuous reflectivity case. In order to give a more realistic interpretation of these results we compare with a Fresnel-type reflectivity function. © 2018 American Physical Society.
title Role of short periodic orbits in quantum maps with continuous openings
title_short Role of short periodic orbits in quantum maps with continuous openings
title_full Role of short periodic orbits in quantum maps with continuous openings
title_fullStr Role of short periodic orbits in quantum maps with continuous openings
title_full_unstemmed Role of short periodic orbits in quantum maps with continuous openings
title_sort role of short periodic orbits in quantum maps with continuous openings
publishDate 2018
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700045_v97_n4_p_Prado
http://hdl.handle.net/20.500.12110/paper_24700045_v97_n4_p_Prado
_version_ 1768545211454062592

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