PMID- 26606486 OWN - NLM STAT- PubMed-not-MEDLINE DCOM- 20151130 LR - 20151126 IS - 1549-9618 (Print) IS - 1549-9618 (Linking) VI - 7 IP - 7 DP - 2011 Jul 12 TI - High-Performance Solution of Hierarchical Equations of Motion for Studying Energy Transfer in Light-Harvesting Complexes. PG - 2166-74 LID - 10.1021/ct200126d [doi] AB - Excitonic models of light-harvesting complexes, where the vibrational degrees of freedom are treated as a bath, are commonly used to describe the motion of the electronic excitation through a molecule. Recent experiments point toward the possibility of memory effects in this process and require one to consider time nonlocal propagation techniques. The hierarchical equations of motion (HEOM) were proposed by Ishizaki and Fleming to describe the site-dependent reorganization dynamics of protein environments ( J. Chem. Phys. 2009 , 130 , 234111 ), which plays a significant role in photosynthetic electronic energy transfer. HEOM are often used as a reference for other approximate methods but have been implemented only for small systems due to their adverse computational scaling with the system size. Here, we show that HEOM are also solvable for larger systems, since the underlying algorithm is ideally suited for the usage of graphics processing units (GPU). The tremendous reduction in computational time due to the GPU allows us to perform a systematic study of the energy-transfer efficiency in the Fenna-Matthews-Olson (FMO) light-harvesting complex at physiological temperature under full consideration of memory effects. We find that approximative methods differ qualitatively and quantitatively from the HEOM results and discuss the importance of finite temperature to achieving high energy-transfer efficiencies. FAU - Kreisbeck, Christoph AU - Kreisbeck C AD - Institut fur Theoretische Physik, Universitat Regensburg , 93040 Regensburg, Germany. FAU - Kramer, Tobias AU - Kramer T AD - Institut fur Theoretische Physik, Universitat Regensburg , 93040 Regensburg, Germany. FAU - Rodriguez, Mirta AU - Rodriguez M AD - Instituto de Estructura de la Materia CSIC , C/Serrano 121, 28006 Madrid, Spain. FAU - Hein, Birgit AU - Hein B AD - Institut fur Theoretische Physik, Universitat Regensburg , 93040 Regensburg, Germany. LA - eng PT - Journal Article DEP - 20110609 PL - United States TA - J Chem Theory Comput JT - Journal of chemical theory and computation JID - 101232704 EDAT- 2011/07/12 00:00 MHDA- 2011/07/12 00:01 CRDT- 2015/11/26 06:00 PHST- 2015/11/26 06:00 [entrez] PHST- 2011/07/12 00:00 [pubmed] PHST- 2011/07/12 00:01 [medline] AID - 10.1021/ct200126d [doi] PST - ppublish SO - J Chem Theory Comput. 2011 Jul 12;7(7):2166-74. doi: 10.1021/ct200126d. Epub 2011 Jun 9.