Simulation of 1D Topological Phases in Driven Quantum Dot Arrays
Beatriz Pérez-González, Miguel Bello, Gloria Platero and Álvaro Gómez-León
We propose a driving protocol which allows us to use quantum dot arrays as quantum simulators for 1D topological phases. We show that by driving the system out of equilibrium, one can imprint bond order in the lattice (producing structures such as dimers, trimers, etc.) and selectively modify the hopping amplitudes at will. Our driving protocol also allows for the simultaneous suppression of all the undesired hopping processes and the enhancement of the necessary ones, enforcing 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.
Topological invariant W as a function of the driving amplitude α/ω and decay length of hopping amplitudes λ, for q=1. The maximum range of the hoppings included is fixed by λ, such that the smallest bare hopping amplitude is a factor 10−8 smaller than the largest one.
