| A Method for Determining the Phase Transition Point of the Bose-Einstein Condensation by Judging the Fitting Errors |
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| 作者姓名： | 马修泉 陈帅 杨帆 夏林 周小计 王义道 陈徐宗 |
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| 作者单位： | [1]Key Laboratory for Quantum Information and Measurements of Ministry of Education, Peking University Beijing 100871 [2]School of Electronics Engineering Computer Science, Peking University, Beijing 100871 [3]Department of Physics and Astronomy, University of Heidelberg, Heidelberg, Germany |
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| 基金项目： | 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. |
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| 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.
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| 关 键 词： | 相变 Bose-Einstein冷凝 拟合误差 临界温度 量子学 |
| 收稿时间： | 2005-09-10 |
| 修稿时间： | 2005-09-10 |
A Method for Determining the Phase Transition Point of the Bose-Einstein Condensation by Judging the Fitting Errors |
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| MA Xiu-Quan, CHEN Shuai, YANG Fan, XIA Lin, ZHOU Xiao-Ji, WANG Yi-Qiu, CHEN Xu-Zong.A Method for Determining the Phase Transition Point of the Bose-Einstein Condensation by Judging the Fitting Errors[J].Chinese Physics Letters,2006,23(1):79-82. |
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| Authors: | MA Xiu-Quan CHEN Shuai YANG Fan XIA Lin ZHOU Xiao-Ji WANG Yi-Qiu CHEN Xu-Zong |
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