Perturbations and chaos in quantum maps

The local density of states (LDOS) is a distribution that characterizes the effects of perturbations on quantum systems. Recently, a semiclassical theory was proposed for the LDOS of chaotic billiards and maps. This theory predicts that the LDOS is a Breit-Wigner distribution independent of the pert...

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Detalles Bibliográficos
Autores principales: Bullo, D.E., Wisniacki, D.A.
Formato: JOUR
Materias:
Chaotic map
Chaoticity
Classical dynamics
In-phase
Local density of state
Perturbation strength
Quantum distribution
Quantum maps
Quantum system
Semiclassical theories
Strong perturbations
Chaotic systems
Phase space methods
Quantum electronics
Quantum optics
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15393755_v86_n2_p_Bullo
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:The local density of states (LDOS) is a distribution that characterizes the effects of perturbations on quantum systems. Recently, a semiclassical theory was proposed for the LDOS of chaotic billiards and maps. This theory predicts that the LDOS is a Breit-Wigner distribution independent of the perturbation strength and also gives a semiclassical expression for the LDOS width. Here, we test the validity of such an approximation in quantum maps by varying the degree of chaoticity, the region in phase space where the perturbation is applied, and the intensity of the perturbation. We show that for highly chaotic maps or strong perturbations the semiclassical theory of the LDOS is accurate to describe the quantum distribution. Moreover, the width of the LDOS is also well represented for its semiclassical expression in the case of mixed classical dynamics. © 2012 American Physical Society.

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