Magnetic Properties of a Bose-Einstein Condensate

Details Magnetic Properties of a Bose-Einstein Condensate Magnetic Properties of a Bose-Einstein Condensate

1998-03-16

arxiv.org/abs/cond-mat/9803199v3

Phys. Rev. A59, 1528 (1999)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 5 figures included, to appear in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.59.1528

Three hyperfine states of Bose-condensed sodium atoms, recently optically trapped, can be described as a spin-1 Bose gas. We study the behaviour of this system in a magnetic field, and construct the phase diagram, where the temperature of the Bose condensation $T_{BEC}$ increases with magnetic field. In particular the system is ferromagnetic below $T_{BEC}$ and the magnetization is proportional to the condensate fraction in a vanishing magnetic field. Second derivatives of the magnetisation with regard to temperature or magnetic field are discontinuous along the phase boundary.

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