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

TL;DR

This paper proposes a laser-assisted scheme to create synthetic magnetic fields in Rydberg atom arrays, enabling the realization of bosonic topological states and fractional quantum Hall effects with high tunability.

Contribution

It introduces a novel method using laser-assisted dipole-dipole interactions to generate controllable synthetic magnetic fields in Rydberg atom systems, facilitating topological quantum states.

Findings

Generation of uniform synthetic magnetic fields in Rydberg arrays

Realization of flat Chern bands for hard core bosons

Feasibility of achieving bosonic fractional quantum Hall states

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.