Universal two-excitation scattering in two-dimensional subwavelength atomic arrays
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866911166531371008 |
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| author | Wang, Yidan Rubies-Bigorda, Oriol Walther, Valentin Yelin, Susanne F. |
| author_facet | Wang, Yidan Rubies-Bigorda, Oriol Walther, Valentin Yelin, Susanne F. |
| contents | Subwavelength atomic arrays are a leading platform for engineering strong light-matter interactions, presenting exciting opportunities for quantum science. However, a full understanding of their multi-excitation dynamics remains a significant challenge. In this work, we uncover a remarkable universal phenomenon that emerges in these arrays. Using scattering theory to analyze two-excitation interactions, we reveal a profound simplification near critical points of the collective atomic excitation band structure, determined solely from single-excitation properties. At these critical points, scattering becomes universal and the full two-excitation scattering matrix decomposes into a block-diagonal form. Remarkably, all scattering processes involving the photon field are completely suppressed, resulting in the perfect isolation of a unitary, nonlinear interaction channel between collective dark spin waves. Our findings provide exact analytical insights into few-body nonlinearities and establish a universal framework for analyzing complex scattering phenomena in ordered atomic systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_17085 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Universal two-excitation scattering in two-dimensional subwavelength atomic arrays Wang, Yidan Rubies-Bigorda, Oriol Walther, Valentin Yelin, Susanne F. Quantum Physics Atomic Physics Subwavelength atomic arrays are a leading platform for engineering strong light-matter interactions, presenting exciting opportunities for quantum science. However, a full understanding of their multi-excitation dynamics remains a significant challenge. In this work, we uncover a remarkable universal phenomenon that emerges in these arrays. Using scattering theory to analyze two-excitation interactions, we reveal a profound simplification near critical points of the collective atomic excitation band structure, determined solely from single-excitation properties. At these critical points, scattering becomes universal and the full two-excitation scattering matrix decomposes into a block-diagonal form. Remarkably, all scattering processes involving the photon field are completely suppressed, resulting in the perfect isolation of a unitary, nonlinear interaction channel between collective dark spin waves. Our findings provide exact analytical insights into few-body nonlinearities and establish a universal framework for analyzing complex scattering phenomena in ordered atomic systems. |
| title | Universal two-excitation scattering in two-dimensional subwavelength atomic arrays |
| topic | Quantum Physics Atomic Physics |
| url | https://arxiv.org/abs/2509.17085 |