Quantum-classical computational framework for many-fermion response and structure
Weijie Du (Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, 730000, China, Department of Physics and Astronomy, Iowa State University, Ames, Iowa, 50010, USA)
; Yangguang Yang (Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, 730000, China); Zixin Liu (Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, 730000, China, Advanced Energy Science and Technology, Guangdong Laboratory, Huizhou, 516000, China); Chao Yang (Applied Mathematics and Computational Research Division, Lawrence Berkeley National Laboratory, Berkeley, California, 54720, USA); James P. Vary (Department of Physics and Astronomy, Iowa State University, Ames, Iowa, 50010, USA)
Response functions are key observables for probing the structure and dynamics of many-body systems. We present and demonstrate a quantum-classical computational 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 recently developed Hamiltonian input scheme that enables practical and scalable circuit constructions for general many-fermion Hamiltonians. Within this framework, we evaluate the Lorentz integral and propose three protocols to extract response functions and bound-state structural information. We apply the method to 19O with realistic internucleon interactions, computing both the bound-state spectrum and the response function. This demonstration indicates opportunities for exploring the structure and dynamics of a broad class of many-body systems across diverse fields.
