Artículo
Role of short periodic orbits in quantum maps with continuous openings
Fecha de publicación:
04/2018
Editorial:
American Physical Society
Revista:
Physical Review E
ISSN:
2470-0045
e-ISSN:
2470-0053
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
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.
Palabras clave:
Quantum Maps
,
Periodic Orbits
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Articulos(SEDE CENTRAL)
Articulos de SEDE CENTRAL
Articulos de SEDE CENTRAL
Citación
Prado, Carlos Alberto; Carlo, Gabriel Gustavo; Benito, R. M.; Borondo, F.; Role of short periodic orbits in quantum maps with continuous openings; American Physical Society; Physical Review E; 97; 4; 4-2018; 1-6
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