Effective scheme for preparation of multi-atom greenberger-horne-zeilinger states in coupled cavities via adiabatic passage

A scheme is proposed to deterministically generate multi-atom Greenberger-Horne-Zeilinger (GHZ) states trapped in coupled cavities, which is based on the adiabatic passage of the dark state. The scheme does not need to adjust the interaction time accurately and is insensitive to the fluctuations of some experimental parameters. However, we should choose the appropriate Rabi frequencies of the classical fields to achieve the optimal characteristic of the system. In addition, we also demonstrate numerically that it is robust against decoherence caused by the cavity decay and atomic spontaneous emission.