PMID- 25770531
OWN - NLM
STAT- PubMed-not-MEDLINE
DCOM- 20150810
LR  - 20150316
IS  - 1089-7690 (Electronic)
IS  - 0021-9606 (Linking)
VI  - 142
IP  - 10
DP  - 2015 Mar 14
TI  - Improving the efficiency of hierarchical equations of motion approach and 
      application to coherent dynamics in Aharonov-Bohm interferometers.
PG  - 104112
LID - 10.1063/1.4914514 [doi]
AB  - Several recent advancements for the hierarchical equations of motion (HEOM) 
      approach are reported. First, we propose an a priori estimate for the optimal 
      number of basis functions for the reservoir memory decomposition. Second, we make 
      use of the sparsity of auxiliary density operators (ADOs) and propose two ansatzs 
      to screen out all the intrinsic zero ADO elements. Third, we propose a new 
      truncation scheme by utilizing the time derivatives of higher-tier ADOs. These 
      novel techniques greatly reduce the memory cost of the HEOM approach, and thus 
      enhance its efficiency and applicability. The improved HEOM approach is applied 
      to simulate the coherent dynamics of Aharonov-Bohm double quantum dot 
      interferometers. Quantitatively accurate dynamics is obtained for both 
      noninteracting and interacting quantum dots. The crucial role of the quantum 
      phase for the magnitude of quantum coherence and quantum entanglement is 
      revealed.
FAU - Hou, Dong
AU  - Hou D
AD  - Hefei National Laboratory for Physical Sciences at the Microscale, University of 
      Science and Technology of China, Hefei, Anhui 230026, China.
FAU - Wang, Shikuan
AU  - Wang S
AD  - Department of Physics, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, 
      China.
FAU - Wang, Rulin
AU  - Wang R
AD  - Beijing Computational Science Research Center, Beijing 100084, China.
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 - Xu, RuiXue
AU  - Xu R
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- 2015/03/17 06:00
MHDA- 2015/03/17 06:01
CRDT- 2015/03/16 06:00
PHST- 2015/03/16 06:00 [entrez]
PHST- 2015/03/17 06:00 [pubmed]
PHST- 2015/03/17 06:01 [medline]
AID - 10.1063/1.4914514 [doi]
PST - ppublish
SO  - J Chem Phys. 2015 Mar 14;142(10):104112. doi: 10.1063/1.4914514.