Multiply-connected traps for cold, neutral atoms fix vortex cores of quantum gases. Laguerre-Gaussian laser modes are ideal for such traps due to their phase stability. We report theoretical calculations of the Bose-Einstein condensation transition properties and thermal characteristics of neutral atoms trapped in multiply connected geometries formed by Laguerre-Gaussian (LG l p ) beams. Specifically, we consider atoms confined to the anti-node of a LG 1 0 laser mode detuned to the red of an atomic resonance frequency, and those confined in the node of a blue-detuned LG 1 1 beam. We compare the results of using the full potential to those approximating the potential minimum with a simple harmonic oscillator potential. We find that deviations between calculations of the full potential and the simple harmonic oscillator can be up to 3% − 8% for trap parameters consistent with typical experiments.
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