摘要
In this paper, We demonstrate an approach to determine the phase transition point and critical temperature of Bose-Einstein condensation. During the fitting sequence of time-of-flight images, for just one picture we take four kinds of different calculations instead of only one. By calculating the quantitative least-square errors, which have always been neglected before, we find out that this value can act as a criterion to judge the status of atom clouds. Using this criterion, we can not only discriminate the status around the phase transition point, but can also find the critical point precisely. Also with this method, we can achieve the totally automatical running of calculating programs without human's judgments.
基金
Supported by the National Fundamental Research Programme of China under Grant Nos 2001CB309308 and No 2005CB3724503, the Major Programme of the National Natural Science Foundation of China under Grant No 60490280, the National Natural Science Foundation of China under Grant No 60271003, the National High Technology Research and Development Programme of China under Grant No 2004AA1Z1220.