D-divisible quantum evolution families

dc.contributor.author	Szczygielski, Krzysztof
dc.date.accessioned	2023-11-08T09:01:01Z
dc.date.available	2023-11-08T09:01:01Z
dc.date.issued	2023-11-07
dc.identifier.citation	Journal of Physics A: Mathematical and Theoretical 56 (2023) 485202
dc.identifier.other	10.1088/1751-8121/ad07c8
dc.identifier.uri	http://repozytorium.umk.pl/handle/item/6933
dc.description.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.
dc.language.iso	eng
dc.publisher	IOP Publishing Ltd
dc.rights	Attribution 4.0 Poland
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/deed.pl
dc.subject	decomposable maps
dc.subject	master equation
dc.subject	Lindbladian
dc.subject	divisible evolution
dc.title	D-divisible quantum evolution families
dc.type	info:eu-repo/semantics/article