PMID- 28764354 OWN - NLM STAT- PubMed-not-MEDLINE DCOM- 20180607 LR - 20180607 IS - 1089-7690 (Electronic) IS - 0021-9606 (Linking) VI - 147 IP - 4 DP - 2017 Jul 28 TI - Efficient steady-state solver for hierarchical quantum master equations. PG - 044105 LID - 10.1063/1.4995424 [doi] AB - Steady states play pivotal roles in many equilibrium and non-equilibrium open system studies. Their accurate evaluations call for exact theories with rigorous treatment of system-bath interactions. Therein, the hierarchical equations-of-motion (HEOM) formalism is a nonperturbative and non-Markovian quantum dissipation theory, which can faithfully describe the dissipative dynamics and nonlinear response of open systems. Nevertheless, solving the steady states of open quantum systems via HEOM is often a challenging task, due to the vast number of dynamical quantities involved. In this work, we propose a self-consistent iteration approach that quickly solves the HEOM steady states. We demonstrate its high efficiency with accurate and fast evaluations of low-temperature thermal equilibrium of a model Fenna-Matthews-Olson pigment-protein complex. Numerically exact evaluation of thermal equilibrium Renyi entropies and stationary emission line shapes is presented with detailed discussion. FAU - Zhang, Hou-Dao AU - Zhang HD AUID- ORCID: 0000000217291583 AD - Hefei National Laboratory for Physical Sciences at the Microscale and Department of Chemical Physics and iChEM and Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China. FAU - Qiao, Qin AU - Qiao Q AD - Discipline of Neuroscience, Department of Anatomy, Histology and Embryology, Shanghai Jiao Tong University School of Medicine, Shanghai 200025, China. FAU - Xu, Rui-Xue AU - Xu RX AUID- ORCID: 000000019931201X AD - Hefei National Laboratory for Physical Sciences at the Microscale and Department of Chemical Physics and iChEM and Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China. FAU - Zheng, Xiao AU - Zheng X AD - Hefei National Laboratory for Physical Sciences at the Microscale and Department of Chemical Physics and iChEM and Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China. FAU - Yan, YiJing AU - Yan Y AD - Hefei National Laboratory for Physical Sciences at the Microscale and Department of Chemical Physics and iChEM and Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China. LA - eng PT - Journal Article PL - United States TA - J Chem Phys JT - The Journal of chemical physics JID - 0375360 EDAT- 2017/08/03 06:00 MHDA- 2017/08/03 06:01 CRDT- 2017/08/03 06:00 PHST- 2017/08/03 06:00 [entrez] PHST- 2017/08/03 06:00 [pubmed] PHST- 2017/08/03 06:01 [medline] AID - 10.1063/1.4995424 [doi] PST - ppublish SO - J Chem Phys. 2017 Jul 28;147(4):044105. doi: 10.1063/1.4995424.