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

Isabelle Bouchoule·Karen V. Kheruntsyan·Gora Shlyapnikov
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Abstract

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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Isabelle Bouchoule, Karen V. Kheruntsyan, Gora Shlyapnikov. 2006-11-24. Interaction-induced crossover versus finite-size condensation in a weakly interacting trapped one-dimensional Bose gas. https://doi.org/10.1103/physreva.75.031606

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