期刊
PHYSICAL REVIEW LETTERS
卷 129, 期 23, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.129.230601
关键词
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资金
- state of Baden-Wurttemberg through bwHPC (JUSTUS 2)
- IQST
- German Science Foundation (DFG) [AN336/12-1 (For2724)]
- State of Baden-Wuttemberg under KQCBW/SiQuRe
- BMBF through QSolid
- NSFC [21933011]
- K. C. Wong Education Foundation
This article introduces an effective method for handling quantum noise and extends HEOM to arbitrary temperatures and very general reservoirs. Additionally, it quantitatively verifies the accuracy of the Shiba relation in the subohmic spin-boson model at zero temperature.
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.
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