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Quantum spin liquids are exotic phases of matter whose low-energy physics is described as the deconfined phase of an emergent gauge theory. With recent theory proposals and an experiment showing preliminary signs of topological order [G. Semeghini , ], Rydberg atom arrays have emerged as a promising platform to realize a quantum spin liquid. In this work, we propose a way to realize a U(1) quantum spin liquid in three spatial dimensions, described by the deconfined phase of U(1) gauge theory in a pyrochlore lattice Rydberg atom array. We study the ground state phase diagram of the proposed Rydberg system as a function of experimentally relevant parameters. Within our calculation, we find that by tuning the Rabi frequency, one can access both the confinement-deconfinement transition driven by a proliferation of “magnetic” monopoles and the Higgs transition driven by a proliferation of “electric” charges of the emergent gauge theory. We suggest experimental probes for distinguishing the deconfined phase from ordered phases. This work serves as a proposal to access a confinement-deconfinement transition in three spatial dimensions on a Rydberg-based quantum simulator. Published by the American Physical Society2025more » « lessFree, publicly-accessible full text available February 1, 2026
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Zhang, Yuxuan; Manjunath, Naren; Nambiar, Gautam; Barkeshli, Maissam (, Physical Review X)
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Nambiar, Gautam; Bulmash, Daniel; Galitski, Victor (, Physical Review Research)
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Zhang, Yuxuan; Manjunath, Naren; Nambiar, Gautam; Barkeshli, Maissam (, Physical Review Letters)
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