Abstract
We study the classical dynamics of an atom bouncing on a concavereflector, which is sometimes called a gravitational cavity. Experiments and simulations have previously shown that atomsreleased from particular heights exhibit anomalously longstorage times but no explanations for this have been offeredhitherto. Here we show that the stability is associated withorbits where the atom moves on a cyclic trajectory. These havea lower loss rate from the cavity because they explore only asmall part of the mirror surface compared with generictrajectories in neighbouring parts of phase space. We identifyand classify them.
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