Coherent ground-state transport of neutral atoms

Quantum state transport is an important way to study the energy or information flow. By combining the unconventional Rydberg pumping mechanism and the diagonal form of van der Waals interactions, we construct a theoretical model via second-order perturbation theory to realize a long-range coherent transport inside the ground-state manifold of neutral atoms system. With the adjustment of the Rabi frequencies and the interatomic distance, this model can be used to simulate various single-excitation dynamics such as Heisenberg $XX$ spin chain, perfect quantum state transfer, Su-Schrieffer-Heeger model, and chiral ground-state current, which effectively avoid the influence of atomic spontaneous emission at the same time. Moreover, the mismatch of the unconventional Rydberg pumping condition caused by the fluctuation of the atomic position only affects the period of quantum state transfer rather than the fidelity of state. Therefore, our work provides a robust and easy-implemented scheme for quantum-state engineering with neutral atoms.