General form of quantum evolution

Understand

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.