How to correct Ehrenfest nonadiabatic dynamics in open quantum systems: Ehrenfest plus random force (E$+$$σ$) dynamics

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Hauptverfasser: Chen, Jingqi, Lee, Joonho, Dou, Wenjie
Format: Preprint
Veröffentlicht: 2024
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author Chen, Jingqi
Lee, Joonho
Dou, Wenjie
author_facet Chen, Jingqi
Lee, Joonho
Dou, Wenjie
contents One key challenge in the study of nonadiabatic dynamics in open quantum systems is to balance computational efficiency and accuracy. Although Ehrenfest dynamics (ED) is computationally efficient and well-suited for large complex systems, ED often yields inaccurate results. To address these limitations, we improve the accuracy of the traditional ED by adding a random force (E$+$$σ$). In this work, the construction of random forces is considered in Markovian and non-Markovian scenarios, and we ensure the dynamics satisfy the detailed balance in both scenarios. By comparing our E$+$$σ$ with existing methods such as the electronic friction model and surface hopping, we furthermore validate its reliability. In addition, E$+$$σ$ model still retains the high efficiency of the ED and does not incur much additional computation. We believe that this method provides an alternative to accurately describe mixed quantum-classical dynamics in open quantum systems, particularly for large complex systems.
format Preprint
id arxiv_https___arxiv_org_abs_2410_18369
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle How to correct Ehrenfest nonadiabatic dynamics in open quantum systems: Ehrenfest plus random force (E$+$$σ$) dynamics
Chen, Jingqi
Lee, Joonho
Dou, Wenjie
Quantum Physics
Chemical Physics
One key challenge in the study of nonadiabatic dynamics in open quantum systems is to balance computational efficiency and accuracy. Although Ehrenfest dynamics (ED) is computationally efficient and well-suited for large complex systems, ED often yields inaccurate results. To address these limitations, we improve the accuracy of the traditional ED by adding a random force (E$+$$σ$). In this work, the construction of random forces is considered in Markovian and non-Markovian scenarios, and we ensure the dynamics satisfy the detailed balance in both scenarios. By comparing our E$+$$σ$ with existing methods such as the electronic friction model and surface hopping, we furthermore validate its reliability. In addition, E$+$$σ$ model still retains the high efficiency of the ED and does not incur much additional computation. We believe that this method provides an alternative to accurately describe mixed quantum-classical dynamics in open quantum systems, particularly for large complex systems.
title How to correct Ehrenfest nonadiabatic dynamics in open quantum systems: Ehrenfest plus random force (E$+$$σ$) dynamics
topic Quantum Physics
Chemical Physics
url https://arxiv.org/abs/2410.18369