Generation of fan-states of radiation field in a cavity

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A scheme of generating recently introduced fan-states | α, 2k>_F (αis complex, k=1,2,3,...) is proposed basing on a Λ-type atom-cavity field interaction. We show that with suitable atomic preparations and measurements a passage of a sequence of N atoms through a cavity may transform an initial field coherent state | α> to a fan-state | α, 2k>_F with k=2^{N-2}.
9 pages, 5 figures, RevTex

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