TY - JOUR A1 - Henkel, Carsten A1 - Sauer, Tim-O A1 - Proukakis, N. P. T1 - Cross-over to quasi-condensation: mean-field theories and beyond JF - Journal of physics : B, Atomic, molecular and optical physics N2 - We analyze the cross-over of a homogeneous, weakly interacting Bose gas in one dimension from the ideal gas into the dense quasi-condensate phase. We review a number of mean-field theories, perturbative or self-consistent, and provide accurate evaluations of equation of state, density fluctuations, and correlation functions. A smooth crossover is reproduced by classical-field simulations based on the stochastic Gross-Pitaevskii equation and the Yang-Yang solution to the one-dimensional Bose gas. KW - quantum gases KW - Bose-Einstein condensation KW - phase transition KW - critical fluctuations Y1 - 2017 U6 - https://doi.org/10.1088/1361-6455/aa6888 SN - 0953-4075 SN - 1361-6455 VL - 50 PB - IOP Publ. Ltd. CY - Bristol ER -