A continued fraction resummation form of bath relaxation effect in the spin-boson model.
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 approach in the continued fraction form extends the Pade approximation and can fully recover the exact quantum dynamics as the expansion order increases.
Physics Department, Zhejiang University, 38 ZheDa Road, Hangzhou, Zhejiang 310027, China.
Zhihao
Z
Gong
Physics Department, Zhejiang University, 38 ZheDa Road, Hangzhou, Zhejiang 310027, China.
Zhoufei
Z
Tang
Department of Chemistry, University of California, Irvine, California 92697, USA.
Shaul
S
Mukamel
Department of Chemistry, MIT, 77 Massachusetts Ave., Cambridge, Massachusetts 02139, USA.
Jianshu
J
Cao
Physics Department, Zhejiang University, 38 ZheDa Road, Hangzhou, Zhejiang 310027, China.
Jianlan
J
Wu