Geometric phase for two-partite qutrit-like entangled coherent state

Coherent states, most close state to the classical states, have special role in quantum optics. In this paper, the geometric phase of the two-partite qutri-like entangled coherent state undergoing a unitary and cyclic evolution is calculated. Using the concurrence measure,the degree of entanglement of the state before and after the evolution is calculated and compared with the geometric phase.We show that the geometric phase and concurrence,as a function of the time evolution parameter, are inversely change, in the sense that the increase of one is accompanied by a decrease of the other.Finally, we suggest an experimental realization to the production of the two-mode entangled coherent state based on the interferometry scheme.