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

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.

Authors:
; ;  [1];  [2];  [3]
  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)
Publication Date:
OSTI Identifier:
22416162
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Chemical Physics; Journal Volume: 142; Journal Issue: 8; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ACCOUNTING; BOSONS; CONTINUED FRACTIONS; CORRECTIONS; EXPANSION; KERNELS; PADE APPROXIMATION; PERTURBATION THEORY; RELAXATION; SPIN

Citation Formats

Gong, Zhihao, Tang, Zhoufei, Wu, Jianlan, E-mail: jianlanwu@zju.edu.cn, Mukamel, Shaul, and Cao, Jianshu. A continued fraction resummation form of bath relaxation effect in the spin-boson model. United States: N. p., 2015. Web. doi:10.1063/1.4913198.
Gong, Zhihao, Tang, Zhoufei, Wu, Jianlan, E-mail: jianlanwu@zju.edu.cn, Mukamel, Shaul, & Cao, Jianshu. A continued fraction resummation form of bath relaxation effect in the spin-boson model. United States. doi:10.1063/1.4913198.
Gong, Zhihao, Tang, Zhoufei, Wu, Jianlan, E-mail: jianlanwu@zju.edu.cn, Mukamel, Shaul, and Cao, Jianshu. Sat . "A continued fraction resummation form of bath relaxation effect in the spin-boson model". United States. doi:10.1063/1.4913198.
@article{osti_22416162,
title = {A continued fraction resummation form of bath relaxation effect in the spin-boson model},
author = {Gong, Zhihao and Tang, Zhoufei and Wu, Jianlan, E-mail: jianlanwu@zju.edu.cn and Mukamel, Shaul and Cao, Jianshu},
abstractNote = {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.},
doi = {10.1063/1.4913198},
journal = {Journal of Chemical Physics},
number = 8,
volume = 142,
place = {United States},
year = {Sat Feb 28 00:00:00 EST 2015},
month = {Sat Feb 28 00:00:00 EST 2015}
}