Generalized Kraus Operators and Generators of Quantum Dynamical Semigroups

TL;DR

This paper introduces a generalized standard form for the generators of strongly continuous, trace-preserving quantum dynamical semigroups, providing new insights and illustrating the approach with concrete examples.

Contribution

It presents a novel generalized form for the generators of quantum dynamical semigroups, expanding understanding of their structure under specific criteria.

Findings

Generator admits a generalized standard form under certain conditions

Provides a new perspective on known approaches in quantum dynamics

Illustrates the theory with concrete examples

Abstract

Quantum dynamical semigroups play an important role in the description of physical processes such as diffusion, radiative decay or other non-equilibrium events. Taking strongly continuous and trace preserving semigroups into consideration, we show that, under a special criterion, the generator of such a group admits a certain generalized standard form, thereby shedding new light on known approaches in this direction. Furthermore, we illustrate our analysis in concrete examples.