Toward extracting scattering phase shift from integrated correlation functions on quantum computers

Abstract

Based on a established relation in Refs.~\cite{Guo:2023ecc,Guo:2024zal,Guo:2024pvt} that relates the integrated correlation functions for a trapped system to the infinite volume scattering phase shifts through a weighted integral, we propose to extract the infinite volume scattering phase shifts through quantum simulation of the integrated correlation functions of trapped two-particle systems on quantum computers. The integrated correlation function can be computed by an ancilla-based algorithm proposed in Ref.~\cite{PhysRevA.64.022319}. The proposal is demonstrated with a simple contact interaction fermion model.

Comments: match to accepted version in Physical Review Research