Categorical Symmetries in Spin Models with Atom Arrays

Autor:	Warman, Alison, Yang, Fan, Tiwari, Apoorv, Pichler, Hannes, Schafer-Nameki, Sakura
Rok vydání:	2024
Předmět:	Condensed Matter - Strongly Correlated Electrons Condensed Matter - Quantum Gases High Energy Physics - Theory Physics - Atomic Physics Quantum Physics
Druh dokumentu:	Working Paper
Popis:	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. Comment: 5 pages + appendices
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.15024 Zobrazit plný text záznamu View this record from Arxiv