PMID- 26590526 OWN - NLM STAT- PubMed-not-MEDLINE DCOM- 20160316 LR - 20151123 IS - 1089-7690 (Electronic) IS - 0021-9606 (Linking) VI - 143 IP - 19 DP - 2015 Nov 21 TI - Calculation of correlated initial state in the hierarchical equations of motion method using an imaginary time path integral approach. PG - 194106 LID - 10.1063/1.4935799 [doi] AB - Based on recent findings in the hierarchical equations of motion (HEOM) for correlated initial state [Y. Tanimura, J. Chem. Phys. 141, 044114 (2014)], we propose a new stochastic method to obtain the initial conditions for the real time HEOM propagation, which can be used further to calculate the equilibrium correlation functions and symmetrized correlation functions. The new method is derived through stochastic unraveling of the imaginary time influence functional, where a set of stochastic imaginary time HEOM are obtained. The validity of the new method is demonstrated using numerical examples including the spin-Boson model, and the Holstein model with undamped harmonic oscillator modes. 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. 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. LA - eng PT - Journal Article PT - Research Support, Non-U.S. Gov't PL - United States TA - J Chem Phys JT - The Journal of chemical physics JID - 0375360 EDAT- 2015/11/23 06:00 MHDA- 2015/11/23 06:01 CRDT- 2015/11/23 06:00 PHST- 2015/11/23 06:00 [entrez] PHST- 2015/11/23 06:00 [pubmed] PHST- 2015/11/23 06:01 [medline] AID - 10.1063/1.4935799 [doi] PST - ppublish SO - J Chem Phys. 2015 Nov 21;143(19):194106. doi: 10.1063/1.4935799.