PMID- 29289122 OWN - NLM STAT- PubMed-not-MEDLINE DCOM- 20180607 LR - 20180607 IS - 1089-7690 (Electronic) IS - 0021-9606 (Linking) VI - 147 IP - 24 DP - 2017 Dec 28 TI - Quantum kinetic expansion in the spin-boson model: Matrix formulation and system-bath factorized initial state. PG - 244112 LID - 10.1063/1.4998784 [doi] AB - Within the framework of the hierarchy equation of motion (HEOM), the quantum kinetic expansion (QKE) method of the spin-boson model is reformulated in the matrix representation. The equivalence between the two formulations (HEOM matrices and quantum operators) is numerically verified from the calculation of the time-integrated QKE rates. The matrix formulation of the QKE is extended to the system-bath factorized initial state. Following a one-to-one mapping between HEOM matrices and quantum operators, a quantum kinetic equation is rederived. The rate kernel is modified by an extra term following a systematic expansion over the site-site coupling. This modified QKE is numerically tested for its reliability by calculating the time-integrated rate and non-Markovian population kinetics. For an intermediate-to-strong dissipation strength and a large site-site coupling, the population transfer is found to be significantly different when the initial condition is changed from the local equilibrium to system-bath factorized state. FAU - Gong, Zhihao AU - Gong Z AUID- ORCID: 000000029643633X AD - Physics Department, Zhejiang University, 38 ZheDa Road, Hangzhou, Zhejiang 310027, China. FAU - Tang, Zhoufei AU - Tang Z AD - Physics Department, Zhejiang University, 38 ZheDa Road, Hangzhou, Zhejiang 310027, China. FAU - Wang, Haobin AU - Wang H AD - Department of Chemistry, University of Colorado Denver, Denver, Colorado 80217-3364, USA. FAU - Wu, Jianlan AU - Wu J AD - Physics Department, Zhejiang University, 38 ZheDa Road, Hangzhou, Zhejiang 310027, China. LA - eng PT - Journal Article PL - United States TA - J Chem Phys JT - The Journal of chemical physics JID - 0375360 EDAT- 2018/01/01 06:00 MHDA- 2018/01/01 06:01 CRDT- 2018/01/01 06:00 PHST- 2018/01/01 06:00 [entrez] PHST- 2018/01/01 06:00 [pubmed] PHST- 2018/01/01 06:01 [medline] AID - 10.1063/1.4998784 [doi] PST - ppublish SO - J Chem Phys. 2017 Dec 28;147(24):244112. doi: 10.1063/1.4998784.