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Dynamical Anyon Generation in Kitaev Honeycomb Non-Abelian Spin Liquids

Liu, Yue and Slagle, Kevin and Burch, Kenneth S. and Alicea, Jason (2022) Dynamical Anyon Generation in Kitaev Honeycomb Non-Abelian Spin Liquids. Physical Review Letters, 129 (3). Art. No. 037201. ISSN 0031-9007. doi:10.1103/PhysRevLett.129.037201.

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Relativistic Mott insulators known as “Kitaev materials” potentially realize spin liquids hosting non-Abelian anyons. Motivated by fault-tolerant quantum-computing applications in this setting, we introduce a dynamical anyon-generation protocol that exploits universal edge physics. The setup features holes in the spin liquid, which define energetically cheap locations for non-Abelian anyons, connected by a narrow bridge that can be tuned between spin liquid and topologically trivial phases. We show that modulating the bridge from trivial to spin liquid over intermediate time scales—quantified by analytics and extensive simulations—deposits non-Abelian anyons into the holes with O(1) probability. The required bridge manipulations can be implemented by integrating the Kitaev material into magnetic tunnel junction arrays that engender locally tunable exchange fields. Combined with existing readout strategies, our protocol reveals a path to topological qubit experiments in Kitaev materials at zero applied magnetic field.

Item Type:Article
Related URLs:
URLURL TypeDescription Material Paper
Liu, Yue0000-0002-5965-0644
Slagle, Kevin0000-0002-8036-3447
Burch, Kenneth S.0000-0002-7541-0245
Alicea, Jason0000-0001-9979-3423
Additional Information:© 2022 American Physical Society. Received 6 December 2021; accepted 22 June 2022; published 11 July 2022. It is a pleasure to thank Dave Aasen, Arnab Banerjee, Gabor Halasz, Erik Henriksen, Kai Klocke, Joel Moore, and Ady Stern for stimulating conversations. This work was supported by the U.S. Department of Energy, Office of Science, National Quantum Information Science Research Centers, Quantum Science Center; the Office of Naval Research under Grant No. N00014-20-1-2308 (KSB); the Army Research Office under Grant No. W911NF-17-1-0323; the Caltech Institute for Quantum Information and Matter, an NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation through Grant No. GBMF1250; and the Walter Burke Institute for Theoretical Physics at Caltech.
Group:Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Department of Energy (DOE)UNSPECIFIED
Office of Naval Research (ONR)N00014-20-1-2308
Army Research Office (ARO)W911NF-17-1-0323
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
NSF Physics Frontiers CenterUNSPECIFIED
Gordon and Betty Moore FoundationGBMF1250
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Issue or Number:3
Record Number:CaltechAUTHORS:20211214-190046323
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:112425
Deposited By: George Porter
Deposited On:15 Dec 2021 17:16
Last Modified:15 Jul 2022 17:01

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