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A continued fraction resummation form of bath relaxation effect in the spin-boson model
Zhihao Gong1, Zhoufei Tang1, Shaul Mukamel2
1Physics Department, Zhejiang University, 38 ZheDa Road, Hangzhou, Zhejiang 310027, China.
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 approach in the continued fraction form extends the Pade approximation and can fully recover the exact quantum dynamics as the expansion order increases.
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