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

The Journal of Chemical Physics
Zhihao GongJianlan Wu

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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Citations

Jan 13, 2016·The Journal of Physical Chemistry. a·Hou-Dao Zhang, Yijing Yan
Dec 17, 2015·The Journal of Chemical Physics·Zhoufei TangJianlan Wu
Aug 25, 2015·The Journal of Chemical Physics·Jianlan WuZhoufei Tang
Jul 9, 2016·The Journal of Chemical Physics·Hsing-Ta ChenDavid R Reichman
May 17, 2019·The Journal of Chemical Physics·Antonino PolimenoDaniel Abergel
Aug 12, 2017·The Journal of Chemical Physics·Michael G MavrosTroy Van Voorhis
Dec 16, 2019·The Journal of Chemical Physics·Zhihao Gong, Jianlan Wu
Jul 10, 2017·The Journal of Chemical Physics·Diptarka HaitTroy Van Voorhis
Aug 17, 2018·The Journal of Chemical Physics·Thomas P FayDavid E Manolopoulos
Feb 17, 2017·The Journal of Chemical Physics·Meng XuQiang Shi
Feb 10, 2020·The Journal of Chemical Physics·Andrius Gelzinis, Leonas Valkunas

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