Quantum spin liquids bootstrapped from Ising criticality in Rydberg arrays
Abstract
Arrays 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 microscopicmore »
- Authors:
-
[1];
[2];
- Rice Univ., Houston, TX (United States); California Institute of Technology (CalTech), Pasadena, CA (United States)
- California Institute of Technology (CalTech), Pasadena, CA (United States)
- Univ. of California, Santa Barbara, CA (United States)
- California Institute of Technology (CalTech), Pasadena, CA (United States); Univ. Innsbruck (Austria); Austrian Academy of Sciences, Innsbruck (Austria)
- Univ. of Pittsburgh, PA (United States)
- Publication Date:
- Research Org.:
- National Quantum Information Science (QIS) Research Centers (United States). The Quantum Science Center (QSC)
- Sponsoring Org.:
- USDOE Office of Science (SC); US Army Research Office (ARO); National Science Foundation (NSF); Gordon and Betty Moore Foundation; US Air Force Office of Scientific Research (AFOSR); Defense Advanced Research Projects Agency (DARPA)
- OSTI Identifier:
- 1982786
- Grant/Contract Number:
- AC05-00OR22725; W911NF-17-1-0323; DMR-1848336; GBMF1250; GBMF8682; FA9550-19-1-0044; OMA-2016245; W911NF2010021; 7568717
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 106; Journal Issue: 11; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; Physics; anyons; bosonization; topological defects; topological phases of matter; Rydberg atoms & molecules; Kitaev model
Citation Formats
Slagle, Kevin, Liu, Yue, Aasen, David, Pichler, Hannes, Mong, Roger K., Chen, Xie, Endres, Manuel, and Alicea, Jason. Quantum spin liquids bootstrapped from Ising criticality in Rydberg arrays. United States: N. p., 2022.
Web. doi:10.1103/physrevb.106.115122.
Slagle, Kevin, Liu, Yue, Aasen, David, Pichler, Hannes, Mong, Roger K., Chen, Xie, Endres, Manuel, & Alicea, Jason. Quantum spin liquids bootstrapped from Ising criticality in Rydberg arrays. United States. https://doi.org/10.1103/physrevb.106.115122
Slagle, Kevin, Liu, Yue, Aasen, David, Pichler, Hannes, Mong, Roger K., Chen, Xie, Endres, Manuel, and Alicea, Jason. Wed .
"Quantum spin liquids bootstrapped from Ising criticality in Rydberg arrays". United States. https://doi.org/10.1103/physrevb.106.115122. https://www.osti.gov/servlets/purl/1982786.
@article{osti_1982786,
title = {Quantum spin liquids bootstrapped from Ising criticality in Rydberg arrays},
author = {Slagle, Kevin and Liu, Yue and Aasen, David and Pichler, Hannes and Mong, Roger K. and Chen, Xie and Endres, Manuel and Alicea, Jason},
abstractNote = {Arrays 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.},
doi = {10.1103/physrevb.106.115122},
journal = {Physical Review. B},
number = 11,
volume = 106,
place = {United States},
year = {Wed Sep 14 00:00:00 EDT 2022},
month = {Wed Sep 14 00:00:00 EDT 2022}
}
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