Universal two-excitation scattering in two-dimensional subwavelength atomic arrays

• URL: http://arxiv.org/abs/2509.17085v1
• Date: Sun, 21 Sep 2025 14:03:09 GMT
• Title: Universal two-excitation scattering in two-dimensional subwavelength atomic arrays
• Authors: Yidan Wang, Oriol Rubies-Bigorda, Valentin Walther, Susanne F. Yelin,
• Abstract summary: Subwavelength atomic arrays are a leading platform for engineering strong light-matter interactions.<n>We uncover a remarkable universal phenomenon that emerges in these arrays.
• Score: 3.8304137083795773
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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