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<p>Programmable quantum simulators based on neutral atom arrays today offer powerful platforms for studying strongly correlated phases of quantum matter. Here, we employ the projective symmetry group framework to describe the symmetry fractionalization patterns in a topologically ordered <InlineEquation ID="IEq2"><EquationSource Format="TEX">\({{\mathbb{Z}}}_{2}\)</EquationSource><EquationSource Format="MATHML"><math><msub><mrow><mi mathvariant="double-struck">Z</mi></mrow><mrow><mn>2</mn></mrow></msub></math></EquationSource></InlineEquation> quantum spin liquid (QSL) synthesized in such a Rydberg array on the ruby lattice. By systematically comparing the static structure factors of all possible mean-field <i>Ansätze</i> against density-matrix renormalization group calculations, we identify a promising candidate for the precise <InlineEquation ID="IEq3"><EquationSource Format="TEX">\({{\mathbb{Z}}}_{2}\)</EquationSource><EquationSource Format="MATHML"><math><msub><mrow><mi mathvariant="double-struck">Z</mi></mrow><mrow><mn>2</mn></mrow></msub></math></EquationSource></InlineEquation> QSL realized microscopically. We also present detailed analyses of the dynamical structure factors as a reference for future experiments and showcase how these spin correlations can differentiate between varied QSL <i>Ansätze</i>.</p>

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Fermionic parton theory of Rydberg \({{\mathbb{Z}}}_{2}\) quantum spin liquids

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年7月13日

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  • Atanu Maity,
  • Yasir Iqbal,
  • Rhine Samajdar

摘要

Programmable quantum simulators based on neutral atom arrays today offer powerful platforms for studying strongly correlated phases of quantum matter. Here, we employ the projective symmetry group framework to describe the symmetry fractionalization patterns in a topologically ordered \({{\mathbb{Z}}}_{2}\)Z2 quantum spin liquid (QSL) synthesized in such a Rydberg array on the ruby lattice. By systematically comparing the static structure factors of all possible mean-field Ansätze against density-matrix renormalization group calculations, we identify a promising candidate for the precise \({{\mathbb{Z}}}_{2}\)Z2 QSL realized microscopically. We also present detailed analyses of the dynamical structure factors as a reference for future experiments and showcase how these spin correlations can differentiate between varied QSL Ansätze.