Generalized quantum baker maps as perturbations of a simple kernel

We present a broad family of quantum baker maps that generalize the proposal of Schack and Caves to any even Hilbert space with arbitrary boundary conditions. We identify a structure, common to all maps consisting of a simple kernel perturbed by diffraction effects. This "essential" baker&...

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Detalles Bibliográficos
Autores principales: Ermann, L., Saraceno, M.
Formato: JOUR
Materias:
Diffraction effects
Hilbert space
Quantum baker maps
Spectral properties
Approximation theory
Boundary conditions
Diffraction
Eigenvalues and eigenfunctions
Perturbation techniques
Quantum theory
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15393755_v74_n4_p_Ermann
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:We present a broad family of quantum baker maps that generalize the proposal of Schack and Caves to any even Hilbert space with arbitrary boundary conditions. We identify a structure, common to all maps consisting of a simple kernel perturbed by diffraction effects. This "essential" baker's map has a different semiclassical limit and can be diagonalized analytically for Hilbert spaces spanned by qubits. In all cases this kernel provides an accurate approximation to the spectral properties-eigenvalues and eigenfunctions-of all the different quantizations. © 2006 The American Physical Society.

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