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'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.
Ermann
Leonardo
L
Departamento de Física, Comisión Nacional de Energía Atómica, Avenida del Libertador 8250 (C1429BNP), Buenos Aires, Argentina. ermann@tandar.cnea.gov.ar
Saraceno
Marcos
M