Work

Categorical Symmetries in Spin Models with Atom Arrays

Year: 2025

Type: article

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 Rep(D_{8}). This model not only captures the essential features of noninvertible 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.

Source: Physical Review Letters

DOI: 10.1103/249m-m8wq

Authors: Alison Warman, Fan Yang, Apoorv Tiwari, Hannes Pichler, Sakura Schäfer-Nameki

Institutions: University of Oxford, Austrian Academy of Sciences, Universität Innsbruck, Institute for Quantum Optics and Quantum Information Innsbruck, University of Southern Denmark

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,750