Abstract.
We consider a trapped ultra-cold gas of (non-condensed) bosons with two internal states (described by a pseudo spin) and study the stability of a longitudinal pseudo spin polarization gradient. For this purpose, we numerically solve a kinetic equation corresponding to a situation close to the experiment at JILA [1]. It shows the presence of Castaing’s instability of transverse spin polarization fluctuations at long wavelengths. This phenomenon could be used to create spontaneous transverse spin waves.
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H.J. Lewandowski, D.M. Harber, D.L. Whitaker, E.A. Cornell, Phys. Rev. Lett. 88, 070403 (2002)
J.N. Fuchs, D. Gangardt, F. Laloë, Phys. Rev. Lett. 88, 230404 (2002)
M.Ö. Oktel, L. Levitov, Phys. Rev. Lett. 88, 230403 (2002)
C. Lhuillier, F. Laloë, J. Phys. France 43, 197 (1982)
E.P. Bashkin, JETP Lett. 33, 8 (1981)
C. Lhuillier and F. Laloë, J. Phys. France 43, 255 (1982)
B.R. Johnson, J.S. Denker, N. Bigelow, L.P. Lévy, J.H. Freed, D.M. Lee, Phys. Rev. Lett. 52, 1508 (1984)
B. Castaing, Physica B 126, 212 (1984)
A. Kuklov, A.E. Meyerovich, Phys. Rev. A 66, 023607 (2002)
R.J. Ragan, D.M. Schwarz, J. Low Temp. Phys. 109, 775 (1997)
A.J. Leggett, J. Phys. C 3, 447 (1970)
W.H. Press, B.P. Flannery, S.A. Teukolsky, W.T. Vetterling, Numerical Recipes (C.U.P., 1986), Chap. 17
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Received: 1st October 2002, Published online: 15 July 2003
PACS:
03.75.Nt Other Bose-Einstein condensation phenomena - 51.10.+y Kinetic and transport theory of gases - 75.30.Ds Spin waves
O. Prévoté: Present address: Université de Cergy-Pontoise, Département de Physique, 5 mall Gay Lussac, Neuville-sur-Oise, 95031 Cergy-Pontoise, France.
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Fuchs, J.N., Prévoté, O. & Gangardt, D.M. Castaing’s instability in a trapped ultra-cold gas. Eur. Phys. J. D 25, 167–171 (2003). https://doi.org/10.1140/epjd/e2003-00204-8
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DOI: https://doi.org/10.1140/epjd/e2003-00204-8