  We present a scheme for engineering quantum transport dynamics of spin
excitations in a chain of laser-dressed Rydberg atoms, mediated by synthetic
spin-exchange arising from diagonal van der Waals interaction. The dynamic
tunability and long-range interaction feature of our scheme allows for the
exploration of transport physics unattainable in conventional spin systems. As
two concrete examples, we first demonstrate a topological exciton pumping
protocol that facilitates quantized entanglement transfer, and secondly we
discuss a highly nonlocal correlated transport phenomenon which persists even
in the presence of dephasing. Unlike previous schemes, our proposal requires
neither resonant dipole-dipole interaction nor off-diagonal van der Waals
interaction. It can be readily implemented in existing experimental systems.
