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Emergent mathbb{Z}₂ gauge theories and topological excitations in Rydberg atom arrays

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arxiv 2204.00632 v1 pith:QOGWBKJR submitted 2022-04-01 cond-mat.quant-gas cond-mat.str-elhep-thquant-ph

Emergent mathbb{Z}₂ gauge theories and topological excitations in Rydberg atom arrays

Rhine Samajdar , Darshan G. Joshi , Yanting Teng , Subir Sachdev This is my paper
classification cond-mat.quant-gas cond-mat.str-elhep-thquant-ph
keywords mathbbrydbergtheoriesarraysemergentexcitationsgaugephases
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Microscopic universal theory of symmetry-enriched topological quantum spin liquids

    cond-mat.str-el 2026-06 unverdicted novelty 7.0

    A new framework maps microscopic inputs to universal properties of generic symmetry-enriched TQSLs and establishes a bijective crystalline equivalence principle between lattice-plus-internal and internal-only symmetry data.

  2. Order-by-disorder and emergent Kosterlitz-Thouless phase in triangular Rydberg array

    cond-mat.str-el 2023-02 unverdicted novelty 5.0

    Numerical simulations of the Rydberg triangular lattice model show order-by-disorder √3×√3 order at half filling and an emergent KT phase at finite temperature.