PMID- 34353023 OWN - NLM STAT- PubMed-not-MEDLINE LR - 20210819 IS - 1520-5215 (Electronic) IS - 1089-5639 (Linking) VI - 125 IP - 32 DP - 2021 Aug 19 TI - Strong Exciton-Vibrational Coupling in Molecular Assemblies. Dynamics Using the Polaron Transformation in HEOM Space. PG - 7052-7065 LID - 10.1021/acs.jpca.1c02684 [doi] AB - In Frenkel exciton dynamics of aggregated molecules, the polaron transformation (PT) technique leads to decoupling of diagonal elements in the subspace of excited electronic states from vibrations. In this article we describe for the first time how PT becomes applicable in the framework of the "Hierarchical Equations of Motion" (HEOM) approach for treatment of open quantum systems. We extend the concept of formulating operators in HEOM space by deriving hierarchical equations of PT which lead to a shift in the excited state potential energy surface to compensate its displacement. While the assumption of thermal equilibration of the vibrational oscillators, introduced by PT, results in a stationary state in a monomer, in a dimer under the same assumption nonequilibrium dynamics appears because of the interplay of the transfer process and vibrational equilibration. Both vertical transitions generating a vibrationally hot state and initially equilibrated vibrational oscillators evolve toward the same stationary asymptotic state associated with polaron formation. The effect of PT on the dynamics of this process depends on initial excitation and basis representation of the electronic system. The developed approach facilitates a generic formulation of quantum master equations involving perturbative treatment of polaron dynamics. FAU - Seibt, Joachim AU - Seibt J AUID- ORCID: 0000-0001-5162-8883 AD - Institute of Physics, University of Rostock, Albert-Einstein-Str. 23-24, 18059 Rostock, Germany. AD - Institute for Theoretical Physics, Johannes Kepler University Linz, Altenberger Str. 69, 4040 Linz, Austria. FAU - Kuhn, Oliver AU - Kuhn O AUID- ORCID: 0000-0002-5132-2961 AD - Institute of Physics, University of Rostock, Albert-Einstein-Str. 23-24, 18059 Rostock, Germany. LA - eng PT - Journal Article DEP - 20210805 PL - United States TA - J Phys Chem A JT - The journal of physical chemistry. A JID - 9890903 SB - IM EDAT- 2021/08/07 06:00 MHDA- 2021/08/07 06:01 CRDT- 2021/08/06 05:27 PHST- 2021/08/07 06:00 [pubmed] PHST- 2021/08/07 06:01 [medline] PHST- 2021/08/06 05:27 [entrez] AID - 10.1021/acs.jpca.1c02684 [doi] PST - ppublish SO - J Phys Chem A. 2021 Aug 19;125(32):7052-7065. doi: 10.1021/acs.jpca.1c02684. Epub 2021 Aug 5.