Related papers: Geometry-driven transitions in sparse long-range spin models with cold atoms

Geometry-driven transitions in sparse long-range spin models with cold atoms

URL: http://arxiv.org/abs/2512.08709v1
Date: Tue, 09 Dec 2025 15:24:27 GMT
Title: Geometry-driven transitions in sparse long-range spin models with cold atoms
Authors: Alex Gunning, Aydin Deger, Sridevi Kuriyattil, Andrew J. Daley,
Abstract summary: We examine a model with interactions that can be continuously tuned to induce distinct changes in the metric, topology, and dimensionality of the coupling graph.<n>This underlying geometry acts as the driver of criticality, with structural changes in the graph coinciding with and dictating the phase boundaries.<n>In certain cases, the effective geometry can be incorporated in the layout of atoms in tweezers to realize phase transitions that preserve universal features.
Score: 0.3079885946230076
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We explore the influence of geometry in the critical behavior of sparse long-range spin models. We examine a model with interactions that can be continuously tuned to induce distinct changes in the metric, topology, and dimensionality of the coupling graph. This underlying geometry acts as the driver of criticality, with structural changes in the graph coinciding with and dictating the phase boundaries. We further discuss how this framework connects naturally to realizations in tweezer arrays with Rydberg excitations. In certain cases, the effective geometry can be incorporated in the layout of atoms in tweezers to realize phase transitions that preserve universal features, simplifying their implementation in near-term experiments.

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