Unsplit Spreading: An Overlooked Signature of Long-Range Interaction
- URL: http://arxiv.org/abs/2601.15752v1
- Date: Thu, 22 Jan 2026 08:24:57 GMT
- Title: Unsplit Spreading: An Overlooked Signature of Long-Range Interaction
- Authors: Jian-Feng Wu, Yi Huang, Yu-Xiang Zhang,
- Abstract summary: Unsplit spreading can occur only when $(k)$ develops singular features, precisely what long-range interactions enable.<n>We show that unsplit spreading emerges in realistic open quantum systems, such as 1D and 2D subwavelength atomic arrays.<n>Our work establishes unsplit spreading as an experimentally accessible, smoking-gun signature of singular band structure induced by long-range physics.
- Score: 13.490631794544166
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In conventional lattice models, the dispersion relation $ω(k)$ is assumed to be a smooth function. We prove that this smoothness implies the splitting of an initially localized excitation into counter-propagating wave packets. Consequently, unsplit spreading can occur only when $ω(k)$ develops singular features, precisely what long-range interactions enable. Remarkably, this phenomenon was clearly visible in published quantum simulation experiments as early as 2014, yet it has remained unrecognized or discussed as a distinct physical effect. We show that unsplit spreading emerges in realistic open quantum systems, such as 1D and 2D subwavelength atomic arrays, where the long-lived subradiant states host effective dispersion with the required singularities. Our work establishes unsplit spreading as an experimentally accessible, smoking-gun signature of singular band structure induced by long-range physics.
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