AI 中文总结
本研究将运动方程方法扩展至现代多体求解器生成的关联参考态，构建统一框架以描述原子核集体激发，为核谱学微观描述提供灵活强大的工具。
AI 中文摘要
本文提出了一种针对关联多体态的运动方程（EOM）形式主义的通用实现，并将其应用于描述原子核中的集体激发。传统EOM方法通常基于独立粒子参考态构建，而本研究将该方法扩展至现代多体求解器生成的关联参考态，使统一框架内能一致处理基态关联与激发态动力学。本研究特别关注从头算框架下采用手征核哈密顿量的集体核激发，其动机源于量子化学、量子计算等领域对EOM技术的重新关注——这些领域中EOM可提供激发谱的高效且可系统改进的描述。研究结果表明，EOM框架超越传统平均场范式，为核谱学的微观描述提供了灵活且强大的工具。
英文摘要
A general implementation of the equation-of-motion (EOM) formalism for correlated many-body states is presented and applied to the description of collective excitations in atomic nuclei. While EOM approaches are traditionally formulated on top of independent-particle reference states, the present work extends the method to correlated reference states generated by modern many-body solvers. This formulation enables a consistent treatment of ground-state correlations and excited-state dynamics within a unified framework. Particular emphasis is placed on collective nuclear excitations employing chiral nuclear Hamiltonians in an ab initio context. The approach is motivated by the renewed interest in EOM techniques across several fields, including quantum chemistry and quantum computing, where they provide efficient and systematically improvable descriptions of excitation spectra. The present results demonstrate that the EOM framework offers a flexible and powerful tool for the microscopic description of nuclear spectroscopy beyond the traditional mean-field paradigm.
Comments19 pages, 7 figures
