Quantum Hall states for Rydberg atoms with laser-assisted dipole-dipole interactions

Abstract

Rydberg atoms with dipole-dipole interactions provide intriguing platforms to explore exotic quantum many-body physics. Here we propose a novel scheme with laser-assisted dipole-dipole interactions to realize synthetic magnetic field for Rydberg atoms in a two-dimensional array configuration, which gives rise to the exotic bosonic topological states. In the presence of an external effective Zeeman splitting gradient, the dipole-dipole interaction between neighboring Rydberg atoms along the gradient direction is suppressed, but can be assisted when Raman lights are applied to compensate the energy difference. With this scheme we generate a controllable uniform magnetic field for the complex spin-exchange coupling model, which can be mapped to hard core bosons coupling to an external synthetic magnetic field. The highly tunable flat Chern bands of the hard core bosons are then obtained and moreover, the bosonic fractional quantum Hall states can be achieved with experimental feasibility. This work opens an avenue for the realization of the highly-sought-after bosonic topological orders using Rydberg atoms.

arXiv comment5 pages, 4 figures, plus Supplementary Material. Discussions are updated, Fig. 3 and Fig. 4 are updated

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• Manipulating synthetic gauge fluxes via multicolor dressing of Rydberg-atom arrays
• Proposal for simulating quantum spin models with the Dzyaloshinskii-Moriya interaction using Rydberg atoms and the construction of asymptotic quantum many-body scar states
• Controlled flow of excitations in a ring-shaped network of Rydberg atoms
• Realization and detection of Kitaev quantum spin liquid with Rydberg atoms
• Floquet Engineering of Hilbert Space Fragmentation in Stark Lattices
• Topological edge states in a Rydberg composite
• Generation of complete graph states in a spin-$1/2$ Heisenberg chain with a globally optimized magnetic field
• Order-by-disorder and emergent Kosterlitz-Thouless phase in triangular Rydberg array
• Engineering frustrated Rydberg spin models by graphical Floquet modulation
• Tuning excitation transport in a dissipative Rydberg ring