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Abstract:

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.

Registro:

Documento: Artículo
Título:Generalized quantum baker maps as perturbations of a simple kernel
Autor:Ermann, L.; Saraceno, M.
Filiación:Departamento de Física, Comisión Nacional de Energía Atómica, Avenida del Libertador 8250, Buenos Aires, Argentina
Departamento de Física, FCEyN, Pabellón 1 Ciudad Universitaria, 1428 Buenos Aires, Argentina
Escuela de Ciencia y Tecnología, Universidad Nacional de San Martín, Alem 3901 (B1653HIM), Villa Ballester, Argentina
Palabras clave:Diffraction effects; Hilbert space; Quantum baker maps; Spectral properties; Approximation theory; Boundary conditions; Diffraction; Eigenvalues and eigenfunctions; Perturbation techniques; Quantum theory
Año:2006
Volumen:74
Número:4
DOI: http://dx.doi.org/10.1103/PhysRevE.74.046205
Título revista:Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Título revista abreviado:Phys. Rev. E Stat. Nonlinear Soft Matter Phys.
ISSN:15393755
CODEN:PLEEE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v74_n4_p_Ermann

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Citas:

---------- APA ----------
Ermann, L. & Saraceno, M. (2006) . Generalized quantum baker maps as perturbations of a simple kernel. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 74(4).
http://dx.doi.org/10.1103/PhysRevE.74.046205
---------- CHICAGO ----------
Ermann, L., Saraceno, M. "Generalized quantum baker maps as perturbations of a simple kernel" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 74, no. 4 (2006).
http://dx.doi.org/10.1103/PhysRevE.74.046205
---------- MLA ----------
Ermann, L., Saraceno, M. "Generalized quantum baker maps as perturbations of a simple kernel" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 74, no. 4, 2006.
http://dx.doi.org/10.1103/PhysRevE.74.046205
---------- VANCOUVER ----------
Ermann, L., Saraceno, M. Generalized quantum baker maps as perturbations of a simple kernel. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2006;74(4).
http://dx.doi.org/10.1103/PhysRevE.74.046205