English

General form of quantum evolution

Quantum Physics 2010-06-15 v1

Abstract

We propose a complete treatment of a local in time dynamics of open quantum systems. In this approach Markovian evolution turns out to be a special case of a general non-Markovian one. We provide a general representation of the local generator which generalizes well known Lindblad representation for the Markovian dynamics. It shows that the structure of non-Markovian generators is highly intricate and the problem of their classification is still open. Simple examples illustrate our approach.

Keywords

Cite

@article{arxiv.1006.2764,
  title  = {General form of quantum evolution},
  author = {Dariusz Chruscinski and Andrzej Kossakowski},
  journal= {arXiv preprint arXiv:1006.2764},
  year   = {2010}
}

Comments

4 pages

R2 v1 2026-06-21T15:36:00.462Z