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We propose a simple technique for the generation of arbitrary-sized Dickestates in a chain of trapped ions. The method uses global addressing of theentire chain by two pairs of delayed but partially overlapping laser pulses toengineer a collective adiabatic passage along a multi-ion dark state. Ourtechnique, which is a many-particle generalization of stimulated Ramanadiabatic passage (STIRAP), is decoherence-free with respect to spontaneousemission and robust against moderate fluctuations in the experimentalparameters. Furthermore, because the process is very rapid, the effects ofheating are almost negligible under realistic experimental conditions. Wepredict that the overall fidelity of synthesis of a Dicke state involving tenions sharing two excitations should approach 98% with currently achievableexperimental parameters.

Decoherence-free preparation of Dicke states of trapped ions by collective stimulated Raman adiabatic passage