Generalized Quantum Baker Maps as perturbations of a simple kernel

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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.
11 pages, 17 figures

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Chaotic Dynamics, Quantum Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/114335

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0606021
 http://arxiv.org/abs/nlin/0606021
 Phys. Rev. E 74, 046205 (2006)
 doi:10.1103/PhysRevE.74.046205

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arXiv