Stepwise Bose-Einstein Condensation in a Spinor Gas

被引:23
作者
Frapolli, C. [1 ]
Zibold, T. [1 ]
Invernizzi, A. [1 ]
Jimenez-Garcia, K. [1 ]
Dalibard, J. [1 ]
Gerbier, F. [1 ]
机构
[1] UPMC Sorbonne Univ, Lab Kastler Brossel, PSL Res Univ, Coll France,CNRS,ENS, 11 Pl Marcelin Berthelot, F-75005 Paris, France
关键词
CRITICAL-TEMPERATURE; TRANSITION; DYNAMICS; BOSONS;
D O I
10.1103/PhysRevLett.119.050404
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We observe multistep condensation of sodium atoms with spin F = 1, where the different Zeeman components m(F) = 0; +/- 1 condense sequentially as the temperature decreases. The precise sequence changes drastically depending on the magnetization m(z) and on the quadratic Zeeman energy q (QZE) in an applied magnetic field. For large QZE, the overall structure of the phase diagram is the same as for an ideal spin-1 gas, although the precise locations of the phase boundaries are significantly shifted by interactions. For small QZE, antiferromagnetic interactions qualitatively change the phase diagram with respect to the ideal case, leading, for instance, to condensation in m(F) = +/- 1, a phenomenon that cannot occur for an ideal gas with q > 0.
引用
收藏
页数:6
相关论文
共 49 条
[1]   Observation of spinor dynamics in optically trapped 87Rb Bose-Einstein condensates -: art. no. 140403 [J].
Chang, MS ;
Hamley, CD ;
Barrett, MD ;
Sauer, JA ;
Fortier, KM ;
Zhang, W ;
You, L ;
Chapman, MS .
PHYSICAL REVIEW LETTERS, 2004, 92 (14) :140403-1
[2]   Theory of Bose-Einstein condensation in trapped gases [J].
Dalfovo, F ;
Giorgini, S ;
Pitaevskii, LP ;
Stringari, S .
REVIEWS OF MODERN PHYSICS, 1999, 71 (03) :463-512
[3]   Polarization of interacting bosons with spin [J].
Eisenberg, E ;
Lieb, EH .
PHYSICAL REVIEW LETTERS, 2002, 89 (22)
[4]   Bose-Einstein condensation at constant temperature -: art. no. 031602 [J].
Erhard, M ;
Schmaljohann, H ;
Kronjäger, J ;
Bongs, K ;
Sengstock, K .
PHYSICAL REVIEW A, 2004, 70 (03) :031602-1
[5]   Condensing Magnons in a Degenerate Ferromagnetic Spinor Bose Gas [J].
Fang, Fang ;
Olf, Ryan ;
Wu, Shun ;
Kadau, Holger ;
Stamper-Kurn, Dan M. .
PHYSICAL REVIEW LETTERS, 2016, 116 (09)
[6]   Condensate fraction and critical temperature of a trapped interacting Bose gas [J].
Giorgini, S ;
Pitaevskii, LP ;
Stringari, S .
PHYSICAL REVIEW A, 1996, 54 (06) :R4633-R4636
[7]  
Grimm R., 2000, OPTICAL DIPOLE TRAPS, P95
[8]   Coherent spin-mixing dynamics in thermal 87Rb spin-1 and spin-2 gases [J].
He, Xiaodong ;
Zhu, Bing ;
Li, Xiaoke ;
Wang, Fudong ;
Xu, Zhi-Fang ;
Wang, Dajun .
PHYSICAL REVIEW A, 2015, 91 (03)
[9]   Spinor Bose condensates in optical traps [J].
Ho, TL .
PHYSICAL REVIEW LETTERS, 1998, 81 (04) :742-745
[10]   Double phase transitions in magnetized spinor Bose-Einstein condensation [J].
Isoshima, T ;
Ohmi, T ;
Machida, K .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2000, 69 (12) :3864-3869