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arXiv 2602.08357quant-phnucl-th
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多费米子响应与结构的量子-经典框架

Quantum-classical framework for many-fermion response and structure

Institute of Modern Physics, Chinese Academy of Sciences(中国科学院近代物理研究所);Department of Physics and Astronomy, Iowa State University(爱荷华州立大学物理与天文系);Advanced Energy Science and Technology, Guangdong Laboratory(广东省实验室先进能源科学与技术);Applied Mathematics and Computational Research Division, Lawrence Berkeley National Laboratory(劳伦斯伯克利国家实验室应用数学与计算研究部)

Weijie Du, Yangguang Yang, Zixin Liu, Chao Yang, James P. Vary

AI总结:

本文提出一种量子-经典框架,用于计算多费米子系统的响应函数和束缚态能谱,通过洛伦兹积分变换和新型哈密顿量输入方案实现高效计算。

摘要:

响应函数是探测多体系统结构和动力学的关键可观测量。我们引入并展示了用于计算一般多费米子系统响应函数的量子-经典框架,该框架还提供了完整的束缚态能谱。该框架采用洛伦兹积分变换和一种新的哈密顿量输入方案,能够为一般的多费米子哈密顿量实现实用且可扩展的电路构造。在此框架中,我们开发了一种混合策略来评估洛伦兹积分,并提出了三种协议来提取响应函数和束缚态结构信息。作为演示,我们将该方法应用于具有现实核子相互作用的¹⁹O,计算了束缚态能谱和响应函数。我们设想我们的方法将为探索广泛类别的多体系统结构和动力学开辟新途径。

英文摘要:

Response functions are key observables for probing the structure and dynamics of many-body systems. We introduce and demonstrate a quantum-classical framework for computing response functions of general many-fermion systems that also provides the full bound-state spectrum. The framework employs the Lorentz integral transform and a new Hamiltonian input scheme that enables practical and scalable circuit constructions for general many-fermion Hamiltonians. Within this framework, we develop a hybrid strategy to evaluate the Lorentz integral and propose three protocols to extract response functions and bound-state structural information. As a demonstration, we apply the method to \({}^{19}\mathrm{O}\) with realistic internucleon interactions, computing both the bound-state spectrum and the response function. We envision that our approach will open new avenues for exploring the structure and dynamics of a broad class of many-body systems across diverse fields.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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