PMID- 19355749 OWN - NLM STAT- PubMed-not-MEDLINE DCOM- 20090807 LR - 20090409 IS - 1089-7690 (Electronic) IS - 0021-9606 (Linking) VI - 130 IP - 13 DP - 2009 Apr 7 TI - Quantum rate dynamics for proton transfer reactions in condensed phase: the exact hierarchical equations of motion approach. PG - 134505 LID - 10.1063/1.3097128 [doi] AB - We apply the recently developed Liouville space hierarchical equations of motion (HEOM) method to calculate the quantum rate dynamics for a model system of proton transfer reaction in condensed phase, which consist of a double well coupled to a harmonic bath with the Debye spectral density. The HEOM method provides a new way to directly calculate nonequilibrium reduced system dynamics, and the calculated reaction rate constants compare well with previous numerical exact results. The HEOM method also allows us to perform long time simulations, which enables systematic studies of the reaction dynamics at low frictions. The applicability of perturbative quantum master equations at various orders is also investigated by comparing with numerical exact HEOM results. FAU - Chen, Liping AU - Chen L AD - Beijing National Laboratory for Molecular Sciences, Institute of Chemistry, Chinese Academy of Sciences, Zhongguancun, Beijing 100190, China. FAU - Shi, Qiang AU - Shi Q LA - eng PT - Journal Article PL - United States TA - J Chem Phys JT - The Journal of chemical physics JID - 0375360 EDAT- 2009/04/10 09:00 MHDA- 2009/04/10 09:01 CRDT- 2009/04/10 09:00 PHST- 2009/04/10 09:00 [entrez] PHST- 2009/04/10 09:00 [pubmed] PHST- 2009/04/10 09:01 [medline] AID - 10.1063/1.3097128 [doi] PST - ppublish SO - J Chem Phys. 2009 Apr 7;130(13):134505. doi: 10.1063/1.3097128.