A Method for Determining the Phase Transition Point of the Bose--Einstein Condensation by Judging the Fitting Errors
MA Xiu-Quan1,2, CHEN Shuai1,3, YANG Fan1,2, XIA Lin1,2, ZHOU Xiao-Ji1,2, WANG Yi-Qiu1,2, CHEN Xu-Zong1,2
1Key Laboratory for Quantum Information and Measurements of Ministry of Education, Peking University, Beijing 100871
2School of Electronics Engineering Computer Science, Peking University, Beijing 100871
3Department of Physics and Astronomy, University of Heidelberg, Heidelberg, Germany
A Method for Determining the Phase Transition Point of the Bose--Einstein Condensation by Judging the Fitting Errors
MA Xiu-Quan1,2;CHEN Shuai1,3;YANG Fan1,2;XIA Lin1,2;ZHOU Xiao-Ji1,2;WANG Yi-Qiu1,2;CHEN Xu-Zong1,2
1Key Laboratory for Quantum Information and Measurements of Ministry of Education, Peking University, Beijing 100871
2School of Electronics Engineering Computer Science, Peking University, Beijing 100871
3Department of Physics and Astronomy, University of Heidelberg, Heidelberg, Germany
Abstract： 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.
(Static properties of condensates; thermodynamical, statistical, and structural properties)
引用本文:
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]. 中国物理快报, 2006, 23(1): 79-82.
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. Chin. Phys. Lett., 2006, 23(1): 79-82.
2006, Vol. 23 
