  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-body physics phenomena such as Heisenberg
$XX$ spin chain restricted in the single-excitation manifold, coherently
perfect quantum state transfer, parameter adjustable Su-Schrieffer-Heeger
model, and chiral motion of atomic excitation in the triangle by varying the
geometrical arrangement of the three atoms, which effectively avoid the
influence of atomic spontaneous emission at the same time. Moreover, the
influence of atomic position fluctuation on the fidelity of quantum state
transmission is discussed in detail, and the corresponding numerical results
show that our work provides a robust and easy-implemented scheme for quantum
state transport with neutral atoms.
