Efficient hierarchical Liouville space propagator to quantum dissipative dynamics.

@article{Shi2009EfficientHL,
  title={Efficient hierarchical Liouville space propagator to quantum dissipative dynamics.},
  author={Qiang Shi and Liping Chen and Guangjun Nan and Rui-Xue Xu and Yijing Yan},
  journal={The Journal of chemical physics},
  year={2009},
  volume={130 8},
  pages={084105}
}
We propose an efficient method to propagate the hierarchical quantum master equations based on a reformulation of the original formalism and the incorporation of a filtering algorithm that automatically truncates the hierarchy with a preselected tolerance. The new method is applied to calculate electron transfer dynamics in a spin-boson model and the absorption spectra of an excitonic dimmer. The proposed method significantly reduces the number of auxiliary density operators used in the… CONTINUE READING