Geometric phase of Dicke state of excitons in N coupled quantum dots

We investigate the nature of geometric phases generated by the evolution of the super-position of Dicke states of excitons in N coupled quantum dots. Based on a sequence of laser pulses, arbitrary superposition of the Dicke states of excitons can be generated. By properly choosing the superposition and using the controllable laser pulses, geometric phase with any expected value can be realized. The main advantage of using coupled quantum dots is that one uses a collective behavior, rather than addressing individually qubits, for instance, like with trapped ions configuration, which require a heavy setup in order to perform a gate.