Realization and detection of Kitaev quantum spin liquid with Rydberg atoms

Abstract

The Kitaev chiral spin liquid has captured widespread interest in recent decades because of its intrinsic non-Abelian excitations, yet the experimental realization is challenging. Here we propose to realize and detect Kitaev chiral spin liquid in a deformed honeycomb array of Rydberg atoms. Through a novel laser-assisted dipole-dipole interaction mechanism to generate both effective hopping and pairing terms for hard-core bosons, together with van der Waals interactions, we achieve the pure Kitaev model with high precision. The gapped non-Abelian spin liquid phase is then obtained by introducing Zeeman fields. Moreover, we propose innovative strategies to probe the chiral Majorana edge modes by light Bragg scattering and by imagining their chiral motion. Our work broadens the range of exotic quantum many-body phases that can be realized and detected in atomic systems, and makes an important step toward manipulating non-Abelian anyons.

References in corpus (20)

• Non-Abelian Anyons and Topological Quantum Computation
• Probing many-body dynamics on a 51-atom quantum simulator
• Many-Body Physics with Individually-Controlled Rydberg Atoms
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• An atom-by-atom assembler of defect-free arbitrary 2d atomic arrays
• Controlling many-body dynamics with driven quantum scars in Rydberg atom arrays
• Consequences of Zeeman Degeneracy for van der Waals Blockade between Rydberg Atoms
• Coherent Excitation Transfer in a Spin Chain of Three Rydberg Atoms
• Continuous Symmetry Breaking in a Two-dimensional Rydberg Array
• Raman Scattering Signatures of Kitaev Spin Liquids in A${}_2$ IrO${}_3$ Iridates
• Detecting Chiral Edge States in the Hofstadter Optical Lattice
• Exact new mobility edges between critical and localized states
• Effects of Smooth Boundaries on Topological Edge Modes in Optical Lattices
• Non-Abelian Floquet Spin Liquids in a Digital Rydberg Simulator
• Engineering and probing non-Abelian chiral spin liquids using periodically driven ultracold atoms
• Thermodynamic perspective on the field-induced behavior of $\alpha$-RuCl${}_3$
• Landau-Forbidden Quantum Criticality in Rydberg Quantum Simulators
• Quantum Hall states for Rydberg atoms with laser-assisted dipole-dipole interactions
• Proposal for simulating quantum spin models with the Dzyaloshinskii-Moriya interaction using Rydberg atoms and the construction of asymptotic quantum many-body scar states
• Fractional quantum anomalous Hall phase for Raman superarray of Rydberg atoms

Cited by in corpus (4)

• Digital Quantum Simulation of the Kitaev Quantum Spin Liquid
• Proposal for realizing quantum-spin systems on a two-dimensional square lattice with Dzyaloshinskii-Moriya interaction by Floquet engineering using Rydberg atoms
• Ultracold atomic lattice systems for simulating topological phases: A review
• Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers