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- Title
About the performance of perturbative treatments of the spin-boson dynamics within the hierarchical equations of motion approach.
- Authors
Xu, Meng; Ankerhold, Joachim
- Abstract
The hierarchical equations of motion (HEOM) provide a numerically exact approach for simulating the dynamics of open quantum systems coupled to a harmonic bath. However, its applicability has traditionally been limited to specific spectral forms and relatively high temperatures. Recently, an extended version called Free-Pole HEOM (FP-HEOM) has been developed to overcome these limitations. In this study, we demonstrate that the FP-HEOM method can be systematically employed to investigate higher order master equations by truncating the FP-HEOM hierarchy at a desired tier. We focus on the challenging scenario of the spin-boson problem with a sub-Ohmic spectral distribution at zero temperature and analyze the performance of the corresponding master equations. Furthermore, we compare the memory kernel for population dynamics obtained from the exact FP-HEOM dynamics with that of the approximate Non-Interacting-Blip Approximation (NIBA).
- Subjects
QUANTUM theory; POPULATION dynamics; TEMPERATURE distribution; HIGH temperatures; EQUATIONS of motion; QUANTUM thermodynamics
- Publication
European Physical Journal: Special Topics, 2023, Vol 232, Issue 20-22, p3209
- ISSN
1951-6355
- Publication type
Article
- DOI
10.1140/epjs/s11734-023-01000-6