Spin fragmentation of Bose–Einstein condensates with antiferromagnetic interactions

Autor: Luigi De Sarlo, Lingxuan Shao, Vincent Corre, Tilman Zibold, David Jacob, Jean Dalibard, Fabrice Gerbier
Jazyk: angličtina
Rok vydání: 2013
Předmět:
Zdroj: New Journal of Physics, Vol 15, Iss 11, p 113039 (2013)
Druh dokumentu: article
ISSN: 1367-2630
DOI: 10.1088/1367-2630/15/11/113039
Popis: We study spin fragmentation of an antiferromagnetic spin 1 condensate in the presence of a quadratic Zeeman (QZ) effect breaking spin rotational symmetry. We describe how the QZ effect turns a fragmented spin state, with large fluctuations of the Zeeman populations, into a regular polar condensate, where the atoms all condense in the m = 0 state along the field direction. We calculate the average value and variance of the population of the Zeeman state m = 0 to illustrate clearly the crossover from a fragmented to an unfragmented state. The typical width of this crossover is q ∼ k _B T / N , where q is the QZ energy, T the spin temperature and N the atom number. This shows that the spin fluctuations are a mesoscopic effect that will not survive in the thermodynamic limit N → ∞, but are observable for a sufficiently small atom number.
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