PMID- 32486654 OWN - NLM STAT- PubMed-not-MEDLINE LR - 20200603 IS - 1089-7690 (Electronic) IS - 0021-9606 (Linking) VI - 152 IP - 20 DP - 2020 May 29 TI - Generalization of the hierarchical equations of motion theory for efficient calculations with arbitrary correlation functions. PG - 204101 LID - 10.1063/5.0007327 [doi] AB - The hierarchical equations of motion (HEOM) theory is one of the standard methods to rigorously describe open quantum dynamics coupled to harmonic environments. Such a model is used to capture non-Markovian and non-perturbative effects of environments appearing in ultrafast phenomena. In the regular framework of the HEOM theory, the environment correlation functions are restricted to linear combinations of exponential functions. In this article, we present a new formulation of the HEOM theory including treatment of non-exponential correlation functions, which enables us to describe general environmental effects more efficiently and stably than the original theory and other generalizations. The library and its Python binding we developed to perform simulations based on our approach, named LibHEOM and PyHEOM, respectively, are provided as the supplementary material. FAU - Ikeda, Tatsushi AU - Ikeda T AUID- ORCID: 0000000238675770 AD - Department of Chemistry, Princeton University, Washington Road, Princeton, New Jersey 08544, USA. FAU - Scholes, Gregory D AU - Scholes GD AD - Department of Chemistry, Princeton University, Washington Road, Princeton, New Jersey 08544, USA. LA - eng PT - Journal Article PL - United States TA - J Chem Phys JT - The Journal of chemical physics JID - 0375360 SB - IM EDAT- 2020/06/04 06:00 MHDA- 2020/06/04 06:01 CRDT- 2020/06/04 06:00 PHST- 2020/06/04 06:00 [entrez] PHST- 2020/06/04 06:00 [pubmed] PHST- 2020/06/04 06:01 [medline] AID - 10.1063/5.0007327 [doi] PST - ppublish SO - J Chem Phys. 2020 May 29;152(20):204101. doi: 10.1063/5.0007327.