Non-local transport properties of a sextuple quantum dot system in the co-tunneling regime

Abstract: Quantum entanglement between electrons in nanostructures is a key concept of quantum information still waiting to be experimentally demonstrated. In this master's thesis we present and analyze the full counting statistics of the charge transfer of a sextuple quantum dot system which works as both entangler and detector of spatially separated electrons. Under certain resonance conditions the system operates in the co-tunneling regime, limiting environment-induced decoherence. By means of a generalized Schrieffer-Wolff transformation the co-tunneling dynamics are obtained from an effective Hamiltonian. Based on these results, a master equation is derived for the reduced density operator of the open sextuple dot system and used to compute the full counting statistics. We find that the system displays quantum coherent non-local transport properties and violates Bell's inequality. Consequently, the sextuple dot system could potentially be used to experimentally demonstrate entanglement between electrons as intended.