PMID- 36563205
OWN - NLM
STAT- PubMed-not-MEDLINE
DCOM- 20221226
LR  - 20221226
IS  - 1079-7114 (Electronic)
IS  - 0031-9007 (Linking)
VI  - 129
IP  - 23
DP  - 2022 Dec 2
TI  - Taming Quantum Noise for Efficient Low Temperature Simulations of Open Quantum 
      Systems.
PG  - 230601
LID - 10.1103/PhysRevLett.129.230601 [doi]
AB  - The hierarchical equations of motion (HEOM), derived from the exact 
      Feynman-Vernon path integral, is one of the most powerful numerical methods to 
      simulate the dynamics of open quantum systems. Its applicability has so far been 
      limited to specific forms of spectral reservoir distributions and relatively 
      elevated temperatures. Here we solve this problem and introduce an effective 
      treatment of quantum noise in frequency space by systematically clustering higher 
      order Matsubara poles, equivalent to an optimized rational decomposition. This 
      leads to an elegant extension of the HEOM to arbitrary temperatures and very 
      general reservoirs in combination with efficiency, high accuracy, and long-time 
      stability. Moreover, the technique can directly be implemented in other 
      approaches such as Green's function, stochastic, and pseudomode formulations. As 
      one highly nontrivial application, for the subohmic spin-boson model at vanishing 
      temperature the Shiba relation is quantitatively verified which predicts the 
      long-time decay of correlation functions.
FAU - Xu, Meng
AU  - Xu M
AD  - Institute for Complex Quantum Systems and IQST, Ulm 
      University-Albert-Einstein-Allee 11, D-89069 Ulm, Germany.
FAU - Yan, Yaming
AU  - Yan Y
AD  - Beijing National Laboratory for Molecular Sciences, State Key Laboratory for 
      Structural Chemistry of Unstable and Stable Species, Institute of Chemistry, 
      Chinese Academy of Sciences, Zhongguancun, Beijing 100190, China and University 
      of Chinese Academy of Sciences, Beijing 100049, China.
FAU - Shi, Qiang
AU  - Shi Q
AD  - Beijing National Laboratory for Molecular Sciences, State Key Laboratory for 
      Structural Chemistry of Unstable and Stable Species, Institute of Chemistry, 
      Chinese Academy of Sciences, Zhongguancun, Beijing 100190, China and University 
      of Chinese Academy of Sciences, Beijing 100049, China.
FAU - Ankerhold, J
AU  - Ankerhold J
AD  - Institute for Complex Quantum Systems and IQST, Ulm 
      University-Albert-Einstein-Allee 11, D-89069 Ulm, Germany.
FAU - Stockburger, J T
AU  - Stockburger JT
AD  - Institute for Complex Quantum Systems and IQST, Ulm 
      University-Albert-Einstein-Allee 11, D-89069 Ulm, Germany.
LA  - eng
PT  - Journal Article
PL  - United States
TA  - Phys Rev Lett
JT  - Physical review letters
JID - 0401141
SB  - IM
EDAT- 2022/12/24 06:00
MHDA- 2022/12/24 06:01
CRDT- 2022/12/23 14:53
PHST- 2022/02/18 00:00 [received]
PHST- 2022/11/08 00:00 [accepted]
PHST- 2022/12/23 14:53 [entrez]
PHST- 2022/12/24 06:00 [pubmed]
PHST- 2022/12/24 06:01 [medline]
AID - 10.1103/PhysRevLett.129.230601 [doi]
PST - ppublish
SO  - Phys Rev Lett. 2022 Dec 2;129(23):230601. doi: 10.1103/PhysRevLett.129.230601.