Interaction-Induced Directional Transport on Driven Coupled Chains

We examine whether interaction between particles may introduce (topologically protected) directional transport in a  driven two-particle quantum system. As a simple example, we consider two one-dimensional chains of equal length, each with one particle. The particles are alternatingly driven, however, without a preferred direction.  The two particles interact but are restricted to staying on their respective chain.

Without interaction between the particles, they each diffuse along their chains. Interaction between them suppresses this diffusion. With the proper timing of their alternating movement, the particles form a bound doublon state. Depending on their starting positions, this doublon either remains stationary or moves along the chain. The motion of the doublon consists of alternating, leapfrogging motion of the two particles.