@article{HenkelSauerProukakis2017, author = {Henkel, Carsten and Sauer, Tim-O and Proukakis, N. P.}, title = {Cross-over to quasi-condensation: mean-field theories and beyond}, series = {Journal of physics : B, Atomic, molecular and optical physics}, volume = {50}, journal = {Journal of physics : B, Atomic, molecular and optical physics}, publisher = {IOP Publ. Ltd.}, address = {Bristol}, issn = {0953-4075}, doi = {10.1088/1361-6455/aa6888}, pages = {19}, year = {2017}, abstract = {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.}, language = {en} }