Transition maps between Hilbert subspaces and quantum energy transport
Mathematical Physics
2021-02-03 v1 math.MP
Abstract
We use a natural generalization of the discrete Fourier transform to define transition maps between Hilbert subspaces and the global transport operator . By using these transition maps as Kraus (or noise) operators, an extension of the quantum energy transport model of 10.1142/S0219025718500182 describing the dynamics of an open quantum system of -levels is presented. We deduce the structure of the invariant states which can be recovered by transporting states supported on the first level.
Cite
@article{arxiv.2008.05008,
title = {Transition maps between Hilbert subspaces and quantum energy transport},
author = {Jorge R. Bolaños-Servín and Roberto Quezada and Josué I. Rios-Cangas},
journal= {arXiv preprint arXiv:2008.05008},
year = {2021}
}