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Quantum spin liquids bootstrapped from Ising criticality in Rydberg arrays

Slagle, Kevin and Liu, Yue and Aasen, David and Pichler, Hannes and Mong, Roger S. K. and Chen, Xie and Endres, Manuel and Alicea, Jason (2022) Quantum spin liquids bootstrapped from Ising criticality in Rydberg arrays. . (Unpublished)

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Arrays of Rydberg atoms constitute a highly tunable, strongly interacting venue for the pursuit of exotic states of matter. We develop a new 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 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, spotlights a new angle for pursuing experimental platforms for Abelian and non-Abelian fractionalization.

Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription Paper ItemJournal Article
Slagle, Kevin0000-0002-8036-3447
Liu, Yue0000-0002-5965-0644
Aasen, David0000-0002-6552-488X
Pichler, Hannes0000-0003-2144-536X
Endres, Manuel0000-0002-4461-224X
Alicea, Jason0000-0001-9979-3423
Additional Information:It is a pleasure to thank Lesik Motrunich, David Mross, and Frederik Nathan for stimulating conversations. We are particularly grateful to Paul Fendley for many illuminating discussions and a prior collaboration that set the foundations of our study. The U.S. Department of Energy, Office of Science, National Quantum Information Science Research Centers, Quantum Science Center supported the construction and analysis of 2D Rydberg array models. The Army Research Office under Grant Award W911NF-17-1-0323 supported the analysis of non-Abelian defects. Additional support was provided by the National Science Foundation through grant DMR-1848336 (RM); the Caltech Institute for Quantum Information and Matter, an NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation through Grant GBMF1250; the Walter Burke Institute for Theoretical Physics at Caltech; the ESQ by a Discovery Grant; the Gordon and Betty Moore Foundation’s EPiQS Initiative, Grant GBMF8682; and the AFOSR YIP (FA9550-19-1-0044). ME acknowledges support from the NSF QLCI program through grant number OMA-2016245, the DARPA ONISQ program (grant no. W911NF2010021), and the DOE Quantum Systems Accelerator Center (contract no. 7568717).
Group:Walter Burke Institute for Theoretical Physics, Institute for Quantum Information and Matter
Funding AgencyGrant Number
Department of Energy (DOE)UNSPECIFIED
Army Research Office (ARO)W911NF-17-1-0323
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationGBMF1250
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Erwin Schrödinger Center for Quantum Science & Technology (ESQ)UNSPECIFIED
Gordon and Betty Moore FoundationGBMF8682
Air Force Office of Scientific Research (AFOSR)FA9550-19-1-0044
Defense Advanced Research Projects Agency (DARPA)W911NF-20-10021
Quantum Systems Accelerator7568717
Record Number:CaltechAUTHORS:20220428-212235605
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:114511
Deposited By: George Porter
Deposited On:29 Apr 2022 16:06
Last Modified:02 Jun 2023 01:24

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