Transition Maps between Hilbert Subspaces and Quantum Energy Transport

We use a natural generalization of the discrete Fourier transform to define transition maps between Hilbert subspaces and the global transport operator Z. By using these transition maps as Kraus (or noise) operators, an extension of the quantum energy transport model of describing the dynamics of an...

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Bibliographic Details
Published inOpen systems & information dynamics Vol. 27; no. 3; p. 2050013
Main Authors Bolaños-Servín, Jorge R., Quezada, Roberto, Rios-Cangas, Josué I.
Format Journal Article
LanguageEnglish
Published Singapore World Scientific Publishing Company 01.09.2020
World Scientific Publishing Co. Pte., Ltd
Subjects
Energy transfer
Fourier transforms
Quantum theory
Subspaces
Quantum energy transport
open systems
weak coupling limit
discrete Fourier transform
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Summary:We use a natural generalization of the discrete Fourier transform to define transition maps between Hilbert subspaces and the global transport operator Z. By using these transition maps as Kraus (or noise) operators, an extension of the quantum energy transport model of describing the dynamics of an open quantum system of N-levels is presented. We deduce the structure of the invariant states which can be recovered by transporting states supported on the first level.
ISSN:1230-1612
1793-7191
DOI:10.1142/S1230161220500134