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arXiv · 2412.15024

Categorical Symmetries in Spin Models with Atom Arrays

Alison Warman·Fan Yang·Apoorv Tiwari·Hannes Pichler·Sakura Schafer-Nameki
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Abstract

Categorical symmetries have recently been shown to generalize the classification of phases of matter, significantly broadening the traditional Landau paradigm. To test these predictions, we propose a simple spin chain model that encompasses all gapped phases and second-order phase transitions governed by the categorical symmetry $\mathsf{Rep}(D_8)$. This model not only captures the essential features of non-invertible phases but is also straightforward enough to enable practical realization. Specifically, we outline an implementation using neutral atoms trapped in optical tweezer arrays. Employing a dual-species setup and Rydberg blockade, we propose a digital simulation approach that can efficiently implement the many-body evolution in several nontrivial quantum phases.

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Alison Warman, Fan Yang, Apoorv Tiwari, Hannes Pichler, Sakura Schafer-Nameki. 2024-12-19. Categorical Symmetries in Spin Models with Atom Arrays. https://doi.org/10.1103/249m-m8wq

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