Engineering and Probing Non-Abelian Chiral Spin Liquids Using Periodically Driven Ultracold Atoms

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Engineering and Probing Non-Abelian Chiral Spin Liquids Using Periodically Driven Ultracold Atoms
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Toward the realization of chiral spin liquids and non-Abelian anyons in quantum simulators ULBruxelles PRX_Quantum

Chiral spin liquids are one of the most intriguing quantum phases of matter. Predicted to exist in two-dimensional quantum systems, these topological phases exhibit excitations known as non-Abelian anyons, which go beyond the conventional boson and fermion paradigm. Despite intense efforts in condensed-matter physics, it is still debated whether quantum spin liquid order actually exists in nature.

In this work, we propose a realization of the Kitaev honeycomb model using quantum simulators based on nonequilibrium periodic drives. The model exhibits a chiral spin liquid ground state, which features non-Abelian excitations consisting of vortex and Majorana fractional excitations. We introduce practical methods for probing the topological properties of this exotic state of matter, using well-designed drive sequences and available measurement schemes.

This work paves the way for the quantum simulation of chiral spin liquids, offering an appealing alternative to their experimental investigation in quantum materials.

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