PMID- 28201895
OWN - NLM
STAT- PubMed-not-MEDLINE
DCOM- 20180607
LR  - 20180607
IS  - 1089-7690 (Electronic)
IS  - 0021-9606 (Linking)
VI  - 146
IP  - 6
DP  - 2017 Feb 14
TI  - Convergence of high order perturbative expansions in open system quantum 
      dynamics.
PG  - 064102
LID - 10.1063/1.4974926 [doi]
AB  - We propose a new method to directly calculate high order perturbative expansion 
      terms in open system quantum dynamics. They are first written explicitly in path 
      integral expressions. A set of differential equations are then derived by 
      extending the hierarchical equation of motion (HEOM) approach. As two typical 
      examples for the bosonic and fermionic baths, specific forms of the extended HEOM 
      are obtained for the spin-boson model and the Anderson impurity model. Numerical 
      results are then presented for these two models. General trends of the high order 
      perturbation terms as well as the necessary orders for the perturbative 
      expansions to converge are analyzed.
FAU - Xu, Meng
AU  - Xu M
AUID- ORCID: 0000000224400645
AD  - Beijing National Laboratory for Molecular Sciences, State Key Laboratory for 
      Structural Chemistry of Unstable and Stable Species, Institute of Chemistry, 
      Chinese Academy of Sciences, Zhongguancun, Beijing 100190, China and University 
      of Chinese Academy of Sciences, Beijing 100049, China.
FAU - Song, Linze
AU  - Song L
AD  - Beijing National Laboratory for Molecular Sciences, State Key Laboratory for 
      Structural Chemistry of Unstable and Stable Species, Institute of Chemistry, 
      Chinese Academy of Sciences, Zhongguancun, Beijing 100190, China and University 
      of Chinese Academy of Sciences, Beijing 100049, China.
FAU - Song, Kai
AU  - Song K
AD  - Beijing National Laboratory for Molecular Sciences, State Key Laboratory for 
      Structural Chemistry of Unstable and Stable Species, Institute of Chemistry, 
      Chinese Academy of Sciences, Zhongguancun, Beijing 100190, China and University 
      of Chinese Academy of Sciences, Beijing 100049, China.
FAU - Shi, Qiang
AU  - Shi Q
AD  - Beijing National Laboratory for Molecular Sciences, State Key Laboratory for 
      Structural Chemistry of Unstable and Stable Species, Institute of Chemistry, 
      Chinese Academy of Sciences, Zhongguancun, Beijing 100190, China and University 
      of Chinese Academy of Sciences, Beijing 100049, China.
LA  - eng
PT  - Journal Article
PL  - United States
TA  - J Chem Phys
JT  - The Journal of chemical physics
JID - 0375360
EDAT- 2017/02/17 06:00
MHDA- 2017/02/17 06:01
CRDT- 2017/02/17 06:00
PHST- 2017/02/17 06:00 [entrez]
PHST- 2017/02/17 06:00 [pubmed]
PHST- 2017/02/17 06:01 [medline]
AID - 10.1063/1.4974926 [doi]
PST - ppublish
SO  - J Chem Phys. 2017 Feb 14;146(6):064102. doi: 10.1063/1.4974926.