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&...

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Autores principales: Ermann, L., Saraceno, M.
Formato: JOUR
Materias:
Diffraction effects
Hilbert space
Quantum baker maps
Spectral properties
Approximation theory
Boundary conditions
Diffraction
Eigenvalues and eigenfunctions
Perturbation techniques
Quantum theory
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15393755_v74_n4_p_Ermann
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_15393755_v74_n4_p_Ermann
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spelling todo:paper_15393755_v74_n4_p_Ermann2023-10-03T16:22:12Z Generalized quantum baker maps as perturbations of a simple kernel Ermann, L. Saraceno, M. Diffraction effects Hilbert space Quantum baker maps Spectral properties Approximation theory Boundary conditions Diffraction Eigenvalues and eigenfunctions Perturbation techniques Quantum theory 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. © 2006 The American Physical Society. Fil:Ermann, L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Saraceno, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_15393755_v74_n4_p_Ermann
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Diffraction effects
Hilbert space
Quantum baker maps
Spectral properties
Approximation theory
Boundary conditions
Diffraction
Eigenvalues and eigenfunctions
Perturbation techniques
Quantum theory
spellingShingle Diffraction effects
Hilbert space
Quantum baker maps
Spectral properties
Approximation theory
Boundary conditions
Diffraction
Eigenvalues and eigenfunctions
Perturbation techniques
Quantum theory
Ermann, L.
Saraceno, M.
Generalized quantum baker maps as perturbations of a simple kernel
topic_facet Diffraction effects
Hilbert space
Quantum baker maps
Spectral properties
Approximation theory
Boundary conditions
Diffraction
Eigenvalues and eigenfunctions
Perturbation techniques
Quantum theory
description 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. © 2006 The American Physical Society.
format JOUR
author Ermann, L.
Saraceno, M.
author_facet Ermann, L.
Saraceno, M.
author_sort Ermann, L.
title Generalized quantum baker maps as perturbations of a simple kernel
title_short Generalized quantum baker maps as perturbations of a simple kernel
title_full Generalized quantum baker maps as perturbations of a simple kernel
title_fullStr Generalized quantum baker maps as perturbations of a simple kernel
title_full_unstemmed Generalized quantum baker maps as perturbations of a simple kernel
title_sort generalized quantum baker maps as perturbations of a simple kernel
url http://hdl.handle.net/20.500.12110/paper_15393755_v74_n4_p_Ermann
work_keys_str_mv AT ermannl generalizedquantumbakermapsasperturbationsofasimplekernel
AT saracenom generalizedquantumbakermapsasperturbationsofasimplekernel
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