Lellouch-Lüscher relation for ultracold few-atom systems under confinement
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916029664329728 |
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| author | Li, Jing-Lun Julienne, Paul S. Denschlag, Johannes Hecker D'Incao, José P. |
| author_facet | Li, Jing-Lun Julienne, Paul S. Denschlag, Johannes Hecker D'Incao, José P. |
| contents | We derive an analog of the Lellouch-Lüscher (LL) relation for few-body bosonic systems, linking few-body scattering loss rates to the energies and widths of the corresponding harmonically trapped few-body states. Three-body numerical simulations show that the LL relation applies across a broad range of interaction strengths and energies and allows the determination of scattering rates within a single partial wave. Our work establishes a robust theoretical framework for understanding the role of the finite volume effect in few-body observables in optical lattice and tweezer experiments, enabling precise determination of multi-body scattering rates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_11906 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lellouch-Lüscher relation for ultracold few-atom systems under confinement Li, Jing-Lun Julienne, Paul S. Denschlag, Johannes Hecker D'Incao, José P. Quantum Gases Atomic Physics We derive an analog of the Lellouch-Lüscher (LL) relation for few-body bosonic systems, linking few-body scattering loss rates to the energies and widths of the corresponding harmonically trapped few-body states. Three-body numerical simulations show that the LL relation applies across a broad range of interaction strengths and energies and allows the determination of scattering rates within a single partial wave. Our work establishes a robust theoretical framework for understanding the role of the finite volume effect in few-body observables in optical lattice and tweezer experiments, enabling precise determination of multi-body scattering rates. |
| title | Lellouch-Lüscher relation for ultracold few-atom systems under confinement |
| topic | Quantum Gases Atomic Physics |
| url | https://arxiv.org/abs/2511.11906 |