About the performance of perturbative treatments of the spin-boson dynamics within the hierarchical equations of motion approach

• URL: http://arxiv.org/abs/2308.02010v1
• Date: Thu, 3 Aug 2023 20:01:40 GMT
• Title: About the performance of perturbative treatments of the spin-boson dynamics within the hierarchical equations of motion approach
• Authors: Meng Xu and Joachim Ankerhold
• Abstract summary: We show that FP-HEOM can be systematically employed to investigate higher-order master equations. We focus on the challenging scenario of the spin-boson problem with a sub-Ohmic spectral distribution at zero temperature. We compare the memory kernel for population dynamics obtained from the exact FP-HEOM dynamics with that of the approximate NIBA.
• Score: 7.573209631509984
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 NIBA (Non-Interacting-Blip Approximation).

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