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

Tian-Hua Yang, Bao-Zong Wang, Xin-Chi Zhou, Xiong-Jun Liu

Published 2022-04-14Version 1

Rydberg atoms with dipole-dipole interactions provide intriguing platforms to investigate 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 lattice configuration. 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 tunable uniform magnetic field for the spin-exchange coupling model, which can be mapped to hard core bosons coupling to an external synthetic magnetic field. The tunable flat Chern bands of the hard core bosons are then obtained and moreover, the bosonic fractional quantum Hall state can be achieved with experimental feasibility. This work opens an avenue for the realization of the broad bosonic topological orders using Rydberg atoms.