Quantum spin liquids bootstrapped from Ising criticality in Rydberg arrays

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dc.citation.articleNumber115122
dc.citation.issueNumber11
dc.citation.journalTitlePhysical Review B
dc.citation.volumeNumber106
dc.contributor.authorSlagle, Kevin
dc.contributor.authorLiu, Yue
dc.contributor.authorAasen, David
dc.contributor.authorPichler, Hannes
dc.contributor.authorMong, Roger S. K.
dc.contributor.authorChen, Xie
dc.contributor.authorEndres, Manuel
dc.contributor.authorAlicea, Jason
dc.date.accessioned2022-11-03T14:38:40Z
dc.date.available2022-11-03T14:38:40Z
dc.date.issued2022
dc.description.abstractArrays of Rydberg atoms constitute a highly tunable, strongly interacting venue for the pursuit of exotic states of matter. We develop a strategy for accessing a family of fractionalized phases known as quantum spin liquids in two-dimensional Rydberg arrays. We specifically use effective field theory methods to study arrays assembled from Rydberg chains tuned to an Ising phase transition that famously hosts emergent fermions propagating within each chain. This highly entangled starting point allows us to naturally access spin liquids familiar from Kitaev's honeycomb model—albeit from an entirely different framework. In particular, we argue that finite-range repulsive Rydberg interactions, which frustrate nearby symmetry-breaking orders, can enable coherent propagation of emergent fermions between the chains in which they were born. Delocalization of emergent fermions across the full two-dimensional Rydberg array yields a gapless Z2 spin liquid with a single massless Dirac cone. Here, the Rydberg occupation numbers exhibit universal power-law correlations that provide a straightforward experimental diagnostic of this phase. We further show that explicitly breaking symmetries perturbs the gapless spin liquid into gapped, topologically ordered descendants: Breaking lattice symmetries generates toric-code topological order, whereas introducing Floquet-mediated chirality generates non-Abelian Ising topological order. In the toric-code phase, we analytically construct microscopic incarnations of non-Abelian defects, which can be created and transported by dynamically controlling the atom positions in the array. Our work suggests that appropriately tuned Rydberg arrays provide a cold-atoms counterpart of solid-state “Kitaev materials” and, more generally, it spotlights a different angle for pursuing experimental platforms for Abelian and non-Abelian fractionalization.
dc.identifier.citationSlagle, Kevin, Liu, Yue, Aasen, David, et al.. "Quantum spin liquids bootstrapped from Ising criticality in Rydberg arrays." <i>Physical Review B,</i> 106, no. 11 (2022) American Physical Society: https://doi.org/10.1103/PhysRevB.106.115122.
dc.identifier.doihttps://doi.org/10.1103/PhysRevB.106.115122
dc.identifier.urihttps://hdl.handle.net/1911/113798
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
dc.titleQuantum spin liquids bootstrapped from Ising criticality in Rydberg arrays
dc.typeJournal article
dc.type.dcmiText
dc.type.publicationpublisher version
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