PMID- 28830182 OWN - NLM STAT- PubMed-not-MEDLINE DCOM- 20180607 LR - 20180607 IS - 1089-7690 (Electronic) IS - 0021-9606 (Linking) VI - 147 IP - 7 DP - 2017 Aug 21 TI - Low-frequency logarithmic discretization of the reservoir spectrum for improving the efficiency of hierarchical equations of motion approach. PG - 074111 LID - 10.1063/1.4999027 [doi] AB - An efficient low-frequency logarithmic discretization (LFLD) scheme for the decomposition of fermionic reservoir spectrum is proposed for the investigation of quantum impurity systems. The scheme combines the Pade spectrum decomposition (PSD) and a logarithmic discretization of the residual part in which the parameters are determined based on an extension of the recently developed minimum-dissipaton ansatz [J. J. Ding et al., J. Chem. Phys. 145, 204110 (2016)]. A hierarchical equations of motion (HEOM) approach is then employed to validate the proposed scheme by examining the static and dynamic system properties in both the Kondo and noninteracting regimes. The LFLD scheme requires a much smaller number of exponential functions than the conventional PSD scheme to reproduce the reservoir correlation function and thus facilitates the efficient implementation of the HEOM approach in extremely low temperature regimes. FAU - Ye, LvZhou AU - Ye L AD - Hefei National Laboratory for Physical Sciences at the Microscale, University of Science and Technology of China, Hefei, Anhui 230026, China. FAU - Zhang, Hou-Dao AU - Zhang HD AUID- ORCID: 0000000217291583 AD - Department of Chemical Physics, University of Science and Technology of China, Hefei, Anhui 230026, China. FAU - Wang, Yao AU - Wang Y AUID- ORCID: 000000032939208X AD - Hefei National Laboratory for Physical Sciences at the Microscale, 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, 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, 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- 2017/08/24 06:00 MHDA- 2017/08/24 06:01 CRDT- 2017/08/24 06:00 PHST- 2017/08/24 06:00 [entrez] PHST- 2017/08/24 06:00 [pubmed] PHST- 2017/08/24 06:01 [medline] AID - 10.1063/1.4999027 [doi] PST - ppublish SO - J Chem Phys. 2017 Aug 21;147(7):074111. doi: 10.1063/1.4999027.