D-divisible quantum evolution families
Mathematical Physics
2023-11-08 v2 math.MP
Operator Algebras
Quantum Physics
Abstract
We propose and explore a notion of decomposably divisible (D-divisible) differentiable quantum evolution families on matrix algebras. This is achieved by replacing the complete positivity requirement, imposed on the propagator, by more general condition of decomposability. It is shown that such D-divisible dynamical maps satisfy a generalized version of Master Equation and are totally characterized by their time-local generators. Necessary and sufficient conditions for D-divisibility are found. Additionally, decomposable trace preserving semigroups are examined.
Cite
@article{arxiv.2303.04260,
title = {D-divisible quantum evolution families},
author = {Krzysztof Szczygielski},
journal= {arXiv preprint arXiv:2303.04260},
year = {2023}
}
Comments
27 pages, 3 figures. Final version