Interaction-induced crossover versus finite-size condensation in a weakly interacting trapped one-dimensional Bose gas

Isabelle Bouchoule (1) , Karen V. Kheruntsyan (2) , Gora V. Shlyapnikov (3)

1 laboratoire Charles Fabry de l'Institut d'Optique / Optique atomique
2 ARC CENTRE OF EXCELLENCE FOR QUANTUM-ATOM OPTICS - ARC Centre of Excellence for Quantum-Atom Optics
3 LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques

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.

Mots clés: Bose-Einstein Condensation; one dimensional gases; Bose gases

Domaines: Physique Atomique [physics.atom-ph]; Autre [cond-mat.other]; Mécanique statistique [cond-mat.stat-mech]

Isabelle Bouchoule, Karen V. Kheruntsyan, Gora V. Shlyapnikov. Interaction-induced crossover versus finite-size condensation in a weakly interacting trapped one-dimensional Bose gas. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2007, 75, pp.031606. ⟨hal-00116204v3⟩