Short periodic orbit approach to resonances and the fractal Weyl law

We investigate the properties of the semiclassical short periodic orbit approach for the study of open quantum maps that was recently introduced. We provide solid numerical evidence, for the paradigmatic systems of the open baker and cat maps, that by using this approach the dimensionality of the ei...

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Detalles Bibliográficos
Autores principales: Pedrosa, J.M., Wisniacki, D., Carlo, G.G., Novaes, M.
Formato: JOUR
Materias:
Cat map
Eigen-value
Eigenvalue problem
Numerical evidence
Periodic orbits
Phase spaces
Quantum maps
Fractals
Phase space methods
Time varying systems
Eigenvalues and eigenfunctions
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15393755_v85_n3_p_Pedrosa
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:We investigate the properties of the semiclassical short periodic orbit approach for the study of open quantum maps that was recently introduced. We provide solid numerical evidence, for the paradigmatic systems of the open baker and cat maps, that by using this approach the dimensionality of the eigenvalue problem is reduced according to the fractal Weyl law. The method also reproduces the projectors ψnR ψnL , which involves the right and left states associated with a given eigenvalue and is supported on the classical phase-space repeller. © 2012 American Physical Society.

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