Generalized Quantum Baker Maps as perturbations of a simple kernel

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dc.creatorErmann, Leonardo
dc.creatorSaraceno, Marcos
dc.date2006-06-07
dc.date2006-07-21
dc.date.accessioned2026-07-07T07:18:32Z
dc.date.available2026-07-07T07:18:32Z
dc.descriptionWe 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.
dc.description11 pages, 17 figures
dc.identifierhttps://arxiv.org/abs/nlin/0606021
dc.identifierhttp://arxiv.org/abs/nlin/0606021
dc.identifierPhys. Rev. E 74, 046205 (2006)
dc.identifierdoi:10.1103/PhysRevE.74.046205
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114335
dc.subjectChaotic Dynamics
dc.subjectQuantum Physics
dc.titleGeneralized Quantum Baker Maps as perturbations of a simple kernel
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