By using the effective Hamiltonian approach, we present a self-consistent framework for the analysis of geometric phases and dynamically stable decoherence-free subspaces in open systems. Comparisons to the earlier works are made. This effective Hamiltonian approach is then extended to a non-Markovian case with the generalized Lindblad master equation. Based on this extended effective Hamiltonian approach, the non-Markovian master equation describing a dissipative two-level system is solved, an adiabatic evolution is defined and the corresponding adiabatic condition is given.
@article{arxiv.0810.2913,
title = {Effective Hamiltonian Approach to Open Systems and Its Applications},
author = {X. L. Huang and X. X. Yi and Chunfeng Wu and X. L. Feng and S. X. Yu and C. H. OH},
journal= {arXiv preprint arXiv:0810.2913},
year = {2009}
}