Abelian and non-Abelian geometric phases in adiabatic open quantum systems

@inproceedings{Sarandy2006AbelianAN,
  title={Abelian and non-Abelian geometric phases in adiabatic open quantum systems},
  author={Marcelo S. Sarandy and Daniel A. Lidar},
  year={2006}
}
We introduce a self-consistent framework for the analysis of both Abelian and non-Abelian geometric phases associated with open quantum systems, undergoing cyclic adiabatic evolution. We derive a general expression for geometric phases, based on an adiabatic approximation developed within an inherently open-systems approach. This expression provides a natural generalization of the analogous one for closed quantum systems, and we prove that it satisfies all the properties one might expect of a… CONTINUE READING