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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_24700045_v97_n4_p_Prado |
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todo:paper_24700045_v97_n4_p_Prado2023-10-03T16:42:22Z Role of short periodic orbits in quantum maps with continuous openings Prado, C.A. Carlo, G.G. Benito, R.M. Borondo, F. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Prado, C.A. Carlo, G.G. Benito, R.M. Borondo, F. 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. |
| format |
JOUR |
| author |
Prado, C.A. Carlo, G.G. Benito, R.M. Borondo, F. |
| author_facet |
Prado, C.A. Carlo, G.G. Benito, R.M. Borondo, F. |
| author_sort |
Prado, C.A. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_24700045_v97_n4_p_Prado |
| work_keys_str_mv |
AT pradoca roleofshortperiodicorbitsinquantummapswithcontinuousopenings AT carlogg roleofshortperiodicorbitsinquantummapswithcontinuousopenings AT benitorm roleofshortperiodicorbitsinquantummapswithcontinuousopenings AT borondof roleofshortperiodicorbitsinquantummapswithcontinuousopenings |
| _version_ |
1807316706833465344 |