Toward extracting scattering phase shift from integrated correlation functions on quantum computers
Abstract
Based on a established relation in Refs.~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.~PhysRevA.64.022319. The proposal is demonstrated with a simple contact interaction fermion model.
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