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Phys. Rev. A 72, 023617 (2005) [8 pages]

Static properties and spin dynamics of the ferromagnetic spin-1 Bose gas in a magnetic field

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Krisztián Kis-Szabó
Department of Physics of Complex Systems, Roland Eötvös University, Pázmány Péter sétány 1/A, Budapest, H-1117, Hungary

Péter Szépfalusy
Department of Physics of Complex Systems, Roland Eötvös University, Pázmány Péter sétány 1/A, Budapest, H-1117, Hungary and Research Institute for Solid State Physics and Optics of the Hungarian Academy of Sciences, Budapest, P.O. Box 49, H-1525, Hungary

Gergely Szirmai
Research Group for Statistical Physics of the Hungarian Academy of Sciences, Pázmány Péter Sétány 1/A, Budapest, H-1117, Hungary

Received 12 October 2004; published 26 August 2005

The properties of spin-1 Bose gases with ferromagnetic interactions in the presence of a nonzero magnetic field are studied. The equation of state and thermodynamic quantities are worked out with the help of a mean-field approximation. The phase diagram besides Bose-Einstein condensation contains a first-order transition where two values of the magnetization coexist. The dynamics is investigated with the help of the random phase approximation. The soft mode corresponding to the critical point of the magnetic phase transition is found to behave like in conventional theory.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.72.023617
DOI:
10.1103/PhysRevA.72.023617
PACS:
03.75.Mn, 03.75.Hh, 67.40.Db