Dynamical anyon generation in Kitaev honeycomb non-Abelian spin liquids

Abstract

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.

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Cited by in corpus (11)

• Kitaev Quantum Spin Liquids
• Non-local spin correlation as a signature of Ising anyons trapped in vacancies of the Kitaev spin liquid
• Anyon dynamics in field-driven phases of the anisotropic Kitaev model
• Finite width of anyons changes their braiding signature
• Field-driven spatiotemporal manipulation of Majorana zero modes in a Kitaev spin liquid
• Dimensional reduction of Kitaev spin liquid at quantum criticality
• Crystalline electric field excitations and their nonlinear splitting under magnetic fields in YbOCl
• Probing fractional statistics in quantum simulators of spin liquid Hamiltonians
• Real-time control of non-Abelian anyons in Kitaev spin liquid under energy dissipation
• Robustness of Vacancy-Bound Non-Abelian Anyons in the Kitaev Model in a Magnetic Field
• Tuning the Chern number of Kitaev quantum spin liquid