PMID- 26671363
OWN - NLM
STAT- PubMed-not-MEDLINE
DCOM- 20160425
LR  - 20151216
IS  - 1089-7690 (Electronic)
IS  - 0021-9606 (Linking)
VI  - 143
IP  - 22
DP  - 2015 Dec 14
TI  - Extended hierarchy equation of motion for the spin-boson model.
PG  - 224112
LID - 10.1063/1.4936924 [doi]
AB  - An extended hierarchy equation of motion (HEOM) is proposed and applied to study 
      the dynamics of the spin-boson model. In this approach, a complete set of 
      orthonormal functions are used to expand an arbitrary bath correlation function. 
      As a result, a complete dynamic basis set is constructed by including the system 
      reduced density matrix and auxiliary fields composed of these expansion 
      functions, where the extended HEOM is derived for the time derivative of each 
      element. The reliability of the extended HEOM is demonstrated by comparison with 
      the stochastic Hamiltonian approach under room-temperature classical ohmic and 
      sub-ohmic noises and the multilayer multiconfiguration time-dependent Hartree 
      theory under zero-temperature quantum ohmic noise. Upon increasing the order in 
      the hierarchical expansion, the result obtained from the extended HOEM 
      systematically converges to the numerically exact answer.
FAU - Tang, Zhoufei
AU  - Tang Z
AD  - Physics Department, Zhejiang University, 38 ZheDa Road, Hangzhou, Zhejiang 
      310027, China.
FAU - Ouyang, Xiaolong
AU  - Ouyang X
AD  - Physics Department, Zhejiang University, 38 ZheDa Road, Hangzhou, Zhejiang 
      310027, China.
FAU - Gong, Zhihao
AU  - Gong 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
PT  - Research Support, Non-U.S. Gov't
PT  - Research Support, U.S. Gov't, Non-P.H.S.
PL  - United States
TA  - J Chem Phys
JT  - The Journal of chemical physics
JID - 0375360
EDAT- 2015/12/17 06:00
MHDA- 2015/12/17 06:01
CRDT- 2015/12/17 06:00
PHST- 2015/12/17 06:00 [entrez]
PHST- 2015/12/17 06:00 [pubmed]
PHST- 2015/12/17 06:01 [medline]
AID - 10.1063/1.4936924 [doi]
PST - ppublish
SO  - J Chem Phys. 2015 Dec 14;143(22):224112. doi: 10.1063/1.4936924.