Dynamical entanglement formation and dissipation effects in two double quantumdots

Abstract

We study the static and dynamic formation of entanglement in charge states of a twodouble quantum dot array with two mobile electrons under the effect of an external drivingfield. We include dissipation via contact with a phonon bath. By using the density matrixformalism and an open quantum system approach, we describe the dynamical behaviour ofthe charge distribution (polarization), concurrence (measure of the degree of entanglement)and Bell state probabilities (two qubit states with maximum entanglement) of such asystem, including the role of dot asymmetry and temperature effects. Our results show thatit is possible to obtain entangled states as well as a most probable Bell state, whichcan be controlled by the driving field. We also evaluate how the entanglementformation based on charge states deteriorates as the temperature or asymmetryincreases.