A continued fraction resummation form of bath relaxation effect in the spin-boson model
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Cao_A continued fraction.pdf
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Author(s)
Gong, Zhihao
Tang, Zhoufei
Mukamel, Shaul
Cao, Jianshu
Wu, Jianlan
Date Issued
February 2015
Journal
The Journal of Chemical Physics
Publisher
American Institute of Physics (AIP)
Citation
Gong, Zhihao et al. “A Continued Fraction Resummation Form of Bath Relaxation Effect in the Spin-Boson Model.” The Journal of Chemical Physics 142.8 (2015): 084103. © 2015 AIP Publishing LLC
Version
Final published version
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.
MIT Department
Massachusetts Institute of Technology. Department of Chemistry
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1063/1.4913198
