A Continued Fraction Resummation Form of Bath Relaxation Effect in the Spin-Boson Model
Quantum Physics
2015-02-27 v1 Biological Physics
Chemical Physics
Abstract
In the spin-boson model, a continued fraction form is proposed to systematically resum high-order quantum kinetic expansion (QKE) rate kernels, accounting for the bath relaxation effect beyond the second-order perturbation. In particular, the analytical expression of the sixth-order QKE rate kernel is derived for resummation. With higher-order correction terms systematically extracted from higher-order rate kernels, the resummed quantum kinetic expansion (RQKE) approach in the continued fraction form extends the Pade approximation and can fully recover the exact quantum dynamics as the expansion order increases.
Keywords
Cite
@article{arxiv.1502.02792,
title = {A Continued Fraction Resummation Form of Bath Relaxation Effect in the Spin-Boson Model},
author = {Zhihao Gong and Zhoufei Tang and Shaul Mukamel and Jianshu Cao and Jianlan Wu},
journal= {arXiv preprint arXiv:1502.02792},
year = {2015}
}
Comments
accepted by J. Chem. Phys