Non-Markovian Open Quantum Systems
Quantum Physics
2008-05-23 v2
Abstract
We construct a non-Markovian canonical dynamical map that accounts for systems correlated with the environment. The physical meaning of not completely positive maps is studied to obtain a theory of non-Markovian quantum dynamics. The relationship between inverse maps and correlations with the environment is established. A generalized non-Markovian master equation is derived from the canonical dynamical map that goes beyond the Kossakowski-Lindblad Markovian master equation. Non-equilibrium quantum thermodynamics can be be studied within this theory.
Cite
@article{arxiv.0803.1183,
title = {Non-Markovian Open Quantum Systems},
author = {Cesar A. Rodriguez-Rosario and E. C. G. Sudarshan},
journal= {arXiv preprint arXiv:0803.1183},
year = {2008}
}