PMID- 29739219 OWN - NLM STAT- PubMed-not-MEDLINE DCOM- 20180611 LR - 20180611 IS - 1089-7690 (Electronic) IS - 0021-9606 (Linking) VI - 148 IP - 17 DP - 2018 May 7 TI - Efficient propagation of the hierarchical equations of motion using the matrix product state method. PG - 174102 LID - 10.1063/1.5026753 [doi] AB - We apply the matrix product state (MPS) method to propagate the hierarchical equations of motion (HEOM). It is shown that the MPS approximation works well in different type of problems, including boson and fermion baths. The MPS method based on the time-dependent variational principle is also found to be applicable to HEOM with over one thousand effective modes. Combining the flexibility of the HEOM in defining the effective modes and the efficiency of the MPS method thus may provide a promising tool in simulating quantum dynamics in condensed phases. FAU - Shi, Qiang AU - Shi Q AD - Beijing National Laboratory for Molecular Sciences, State Key Laboratory for Structural Chemistry of Unstable and Stable Species, CAS Research/Education Center for Excellence in Molecular Sciences, Institute of Chemistry, Chinese Academy of Sciences, Zhongguancun, Beijing 100190, China and University of Chinese Academy of Sciences, Beijing 100049, China. FAU - Xu, Yang AU - Xu Y AD - Beijing National Laboratory for Molecular Sciences, State Key Laboratory for Structural Chemistry of Unstable and Stable Species, CAS Research/Education Center for Excellence in Molecular Sciences, Institute of Chemistry, Chinese Academy of Sciences, Zhongguancun, Beijing 100190, China and University of Chinese Academy of Sciences, Beijing 100049, China. FAU - Yan, Yaming AU - Yan Y AD - Beijing National Laboratory for Molecular Sciences, State Key Laboratory for Structural Chemistry of Unstable and Stable Species, CAS Research/Education Center for Excellence in Molecular Sciences, Institute of Chemistry, Chinese Academy of Sciences, Zhongguancun, Beijing 100190, China and University of Chinese Academy of Sciences, Beijing 100049, China. 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, CAS Research/Education Center for Excellence in Molecular Sciences, 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- 2018/05/10 06:00 MHDA- 2018/05/10 06:01 CRDT- 2018/05/10 06:00 PHST- 2018/05/10 06:00 [entrez] PHST- 2018/05/10 06:00 [pubmed] PHST- 2018/05/10 06:01 [medline] AID - 10.1063/1.5026753 [doi] PST - ppublish SO - J Chem Phys. 2018 May 7;148(17):174102. doi: 10.1063/1.5026753.