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We analyse non-quadratic in time Zeno effect which arises when a few-atomstate initially trapped between two high laser-induced barriers is brieflyreleased to free evolution. We identify the Zeno time, analyse the energydistributions of those atoms which have escaped an remained inside the trap,and obtain a simple relation between the survival and non-escape probabilities.The relevant time scales are such that the effect would be observable for theatomic species used in current laser experiments.

Anomalous Zeno effect for sharply localised atomic states