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Generalized Quantum Baker Maps as perturbations of a simple kernel
release_p5c6glvc2ff43lmhskbo4e27em
by
Leonardo Ermann, Marcos Saraceno
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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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