Simulation of chiral topological phases in driven quantum dot arrays

We discuss how to use quantum dot arrays as quantum simulators for 1D chiral topological phases. We show that by driving the system out of equilibrium with a particular driving protocol, one can modify the hopping amplitudes at will, imprinting bond-order to the lattice and thus effectively producing structures such as dimers, trimers, etc. Our driving protocol also allows for the simultaneous suppression of all the undesired hopping processes, the enhancement of the necessary ones, and then provides a way to maintain certain key symmetries which provide topological protection. In addition, we have discussed its implementation in a 12-QD array with two interacting electrons, and found correlation effects in their dynamics when configurations with different number of edge states are considered.