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Pré-Publication, Document De Travail Année : 2007

Interaction-induced crossover versus finite-size condensation in a weakly interacting trapped 1D Bose gas

Résumé

We discuss the transition from a fully decoherent to a (quasi-)condensate regime in a harmonically trapped weakly interacting 1D Bose gas. By using analytic approaches and verifying them against exact numerical solutions, we find a characteristic crossover temperature and crossover atom number that depend on the interaction strength and the trap frequency. We then identify the conditions for observing either an interaction-induced crossover scenario or else a finite-size Bose-Einstein condensation phenomenon characteristic of an \textit{ideal} trapped 1D gas.
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Dates et versions

hal-00116204 , version 1 (24-11-2006)
hal-00116204 , version 2 (29-01-2007)
hal-00116204 , version 3 (25-04-2007)

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Isabelle Bouchoule, Karen V. Kheruntsyan, Gora V. Shlyapnikov. Interaction-induced crossover versus finite-size condensation in a weakly interacting trapped 1D Bose gas. 2007. ⟨hal-00116204v2⟩
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