Signature of existence of a BEC-type state in a dilute gas above the BEC   transition temperature
  We study quantum coherence properties of a dilute gas at temperatures above, but not much above the transition temperature of Bose-Einstein condensation (BEC). In such a gas, a small proportion of the atoms may possess coherence lengths longer than the mean neighboring-atomic distance, implying the existence of quantum coherence more than that expected for thermal atoms. Conjecturing that a part of this proportion of the atoms may lie in a BEC-type state, some unexplained experimental results [Phys. Rev. A, 71, 043615 (2005)] can be explained. 
Yinbiao Yang and Wen-ge Wang
cond-mat.quant-gas cond-mat.mes-hall cond-mat.other quant-ph