Effective protocol for generation of multiple atoms entangled states in two coupled cavities via adiabatic passage

A scheme is proposed to deterministically generate a two atoms entangled state and a multiple atoms W state in two coupled cavities by one step. In the scheme, the populations of cavities and atoms excited are negligible under certain conditions with an adiabatic passage along a dark state. Furthermore, the interaction time needs not to be controlled exactly and keeps unchanged with the increasing of the number of qubits. In consideration that only one of the atoms needs to be operated, the realization in experiment can be relatively easier.