Toward extracting scattering phase shift from integrated correlation functions on quantum computers
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914157443416064 |
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| author | Guo, Peng |
| author_facet | Guo, Peng |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_14474 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Toward extracting scattering phase shift from integrated correlation functions on quantum computers Guo, Peng Quantum Physics High Energy Physics - Lattice Nuclear Theory 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. |
| title | Toward extracting scattering phase shift from integrated correlation functions on quantum computers |
| topic | Quantum Physics High Energy Physics - Lattice Nuclear Theory |
| url | https://arxiv.org/abs/2504.14474 |