Artículo
Classical transients and the support of open quantum maps
Fecha de publicación:
01/2013
Editorial:
American Physical Society
Revista:
Physical Review E: Statistical, Nonlinear and Soft Matter Physics
ISSN:
1539-3755
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
The basic ingredients in a semiclassical theory are the classical invariant objects serving as a support for quantization. Recent studies, mainly obtained on quantum maps, have led to the commonly accepted belief that the classical repeller - the set of nonescaping orbits in the future and past evolution - is the object that suitably plays this role in open scattering systems. In this paper we present numerical evidence warning that this may not always be the case. For this purpose we study recently introduced families of tribaker maps, which share the same asymptotic properties but differ in their short-time behavior. We have found that although the eigenvalue distribution of the evolution operator of these maps follows the fractal Weyl law prediction, the theory of short periodic orbits for open maps fails to describe the resonance eigenfunctions of some of them. This is a strong indication that new elements must be included in the semiclassical description of open quantum systems. We provide an interpretation of the results in order to have hints about them. © 2013 American Physical Society.
Palabras clave:
Open Systems
,
Chaos
,
Resonances
Archivos asociados
Licencia
Identificadores
Colecciones
Articulos(IFIBA)
Articulos de INST.DE FISICA DE BUENOS AIRES
Articulos de INST.DE FISICA DE BUENOS AIRES
Citación
Carlo, Gabriel Gustavo; Wisniacki, Diego Ariel; Ermann, Leonardo; Benito, R.M.; Borondo, F.; Classical transients and the support of open quantum maps; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 87; 1; 1-2013; 12909-12909
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