Artículo
Prado, C.A.; Carlo, G.G.; Benito, R.M.; Borondo, F. "Role of short periodic orbits in quantum maps with continuous openings" (2018) Physical Review E. 97(4)
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Abstract:
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.
Registro:
| Documento: | Artículo |
| Título: | Role of short periodic orbits in quantum maps with continuous openings |
| Autor: | Prado, C.A.; Carlo, G.G.; Benito, R.M.; Borondo, F. |
| Filiación: | Comisión Nacional de Energía Atómica, Departamento de Física, Av. del Libertador 8250, Buenos Aires, 1429, Argentina Departamento de Física, FCEyN, Universidad de Buenos Aires, Ciudad Universitaria, Buenos Aires, 1428, Argentina Comisión Nacional de Energía Atómica, CONICET, Departamento de Física, Av. del Libertador 8250, Buenos Aires, 1429, Argentina Grupo de Sistemas Complejos and Departamento de Física, Escuela Técnica Superior de Ingenieros Agrónomos, Universidad Politécnica de Madrid, Madrid, 28040, Spain Departamento de Química, Instituto de Ciencias Matemáticas (ICMAT), Universidad Autónoma de Madrid, Cantoblanco, Madrid, 28049, Spain |
| Palabras clave: | Cantor sets; Complicated boundary conditions; Optical microresonators; Periodic orbits; Quantum maps; Reflectivity functions; Semiclassical theories; Spectral properties; Reflection |
| Año: | 2018 |
| Volumen: | 97 |
| Número: | 4 |
| DOI: | http://dx.doi.org/10.1103/PhysRevE.97.042211 |
| Título revista: | Physical Review E |
| Título revista abreviado: | Phys. Rev. E |
| ISSN: | 24700045 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700045_v97_n4_p_Prado |
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Citas:
---------- APA ----------
Prado, C.A., Carlo, G.G., Benito, R.M. & Borondo, F. (2018) . Role of short periodic orbits in quantum maps with continuous openings. Physical Review E, 97(4).http://dx.doi.org/10.1103/PhysRevE.97.042211
---------- CHICAGO ----------
Prado, C.A., Carlo, G.G., Benito, R.M., Borondo, F. "Role of short periodic orbits in quantum maps with continuous openings" . Physical Review E 97, no. 4 (2018).http://dx.doi.org/10.1103/PhysRevE.97.042211
---------- MLA ----------
Prado, C.A., Carlo, G.G., Benito, R.M., Borondo, F. "Role of short periodic orbits in quantum maps with continuous openings" . Physical Review E, vol. 97, no. 4, 2018.http://dx.doi.org/10.1103/PhysRevE.97.042211
---------- VANCOUVER ----------
Prado, C.A., Carlo, G.G., Benito, R.M., Borondo, F. Role of short periodic orbits in quantum maps with continuous openings. Phys. Rev. E. 2018;97(4).http://dx.doi.org/10.1103/PhysRevE.97.042211
