Emergent $\mathbb{Z}_2$ gauge theories and topological excitations in Rydberg atom arrays

• URL: http://arxiv.org/abs/2204.00632v1
• Date: Fri, 1 Apr 2022 18:00:00 GMT
• Title: Emergent $\mathbb{Z}_2$ gauge theories and topological excitations in Rydberg atom arrays
• Authors: Rhine Samajdar, Darshan G. Joshi, Yanting Teng, Subir Sachdev
• Abstract summary: We show that the combination of Rydberg interactions and appropriate lattice geometries leads to emergent $mathbbZ$ gauge theories endowed with matter fields. We describe how Rydberg platforms could realize two distinct classes of topological $mathbbZ$ quantum spin liquids.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Strongly interacting arrays of Rydberg atoms provide versatile platforms for exploring exotic many-body phases and dynamics of correlated quantum systems. Motivated by recent experimental advances, we show that the combination of Rydberg interactions and appropriate lattice geometries naturally leads to emergent $\mathbb{Z}_2$ gauge theories endowed with matter fields. Based on this mapping, we describe how Rydberg platforms could realize two distinct classes of topological $\mathbb{Z}_2$ quantum spin liquids, which differ in their patterns of translational symmetry fractionalization. We also discuss the natures of the fractionalized excitations of these $\mathbb{Z}_2$ spin liquid states using both fermionic and bosonic parton theories, and illustrate their rich interplay with proximate solid phases.

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