Work

Structure of completely positive quantum master equations with memory kernel

Year: 2009

Type: article

Abstract: Semi-Markov processes represent a well-known and widely used class of random processes in classical probability theory. Here, we develop an extension of this type of non-Markovian dynamics to the quantum regime. This extension is demonstrated to yield quantum master equations with memory kernels which allow the formulation of explicit conditions for the complete positivity of the corresponding quantum dynamical maps, thus leading to important insights into the structural characterization of the non-Markovian quantum dynamics of open systems. Explicit examples are analyzed in detail.

Source: Physical Review E

DOI: 10.1103/physreve.79.041147

Authors: Heinz-Peter Breuer, Bassano Vacchini

Institutions: University of Freiburg, University of Milan, Istituto Nazionale di Fisica Nucleare, Sezione di Milano

Language: English

Topic: Quantum Mechanics and Applications

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2044943649

FWCI: 5.929

Cites: 35

Cited by: 91

Related to: 10