Generalized Quantum Baker Maps as perturbations of a simple kernel release_p5c6glvc2ff43lmhskbo4e27em

by Leonardo Ermann, Marcos Saraceno

Released as a article .

2006  

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.
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Type  article
Stage   accepted
Date   2006-07-21
Version   v2
Language   en ?
arXiv  nlin/0606021v2
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