Remarks on sufficient conditions for conservativity of minimal quantum dynamical semigroups

TL;DR

This paper develops new sufficient conditions for the conservativity of minimal quantum dynamical semigroups, extending previous methods and demonstrating their applicability through a heavy ion collision model.

Contribution

It introduces an extended criterion for conservativity of quantum dynamical semigroups, complementing existing conditions and validated with a practical example.

Findings

New sufficient conditions for conservativity established

Conditions extend and complement previous criteria

Applied to a heavy ion collision model successfully

Abstract

We obtain sufficient conditions for conservativity of minimal quantum dynamical semigroup by modifying and extending the method used in [Chebotarev and Fagnola, J. Funct. Anal. 153(1998), 382-404]. Our criterion for conservativity can be considered as a complement to Chebotarev and Fagnola's conditions. In order to show that our conditions are useful, we apply our results to a concrete example(a model of heavy ion collision).