A continued fraction resummation form of bath relaxation effect in the spin-boson model

Journal Article · Fri Feb 27 23:00:00 EST 2015 · Journal of Chemical Physics

DOI:https://doi.org/10.1063/1.4913198· OSTI ID:22416162

Gong, Zhihao; Tang, Zhoufei; Wu, Jianlan ^[1]; Mukamel, Shaul ^[2]; Cao, Jianshu ^[3]

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1. Physics Department, Zhejiang University, 38 ZheDa Road, Hangzhou, Zhejiang 310027 (China)
2. Department of Chemistry, University of California, Irvine, California 92697 (United States)
3. Department of Chemistry, MIT, 77 Massachusetts Ave., Cambridge, Massachusetts 02139 (United States)

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.

• OSTI ID: 22416162
• Journal Information: Journal of Chemical Physics, Journal Name: Journal of Chemical Physics Journal Issue: 8 Vol. 142; ISSN JCPSA6; ISSN 0021-9606
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACCOUNTING
BOSONS
CONTINUED FRACTIONS
CORRECTIONS
EXPANSION
KERNELS
PADE APPROXIMATION
PERTURBATION THEORY
RELAXATION
SPIN