Abstract
The hydrodynamics equations of binary mixtures of Bose gases, Fermi gases, and mixtures of Bose and Fermi gases in the presence of external potentials are derived. These equations can be applied to current experiments on mixtures of atomic gases confined in magnetic traps.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
M. H. Anderson, J. R. Ensher, M. R. Mathews, C. E. Weiman, and E. A. Cornell, Science 269, 198 (1995).
K. B. Davis, M. O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn, and W. Ketterle, Phys. Rev. Lett. 75, 3969 (1995).
C. C. Bradley, C. A. Sackett, J. J. Tollett, and R. G. Hulet, Phys. Rev. Lett. 75, 1687 (1995).
Tin-Lun Ho and V. B. Shenoy, Phys. Rev. Lett. 77, 3276 (1996).
C. J. Myatt, E. Cornell, and C. Wieman, Phys. Rev. Lett. 78, 586 (1997).
L. D. Landau, J. Phys. (USSR) 5, 71 (1941); L. D. Landau and E. M. Lifshitz, Fluid Mechanics, Pergamon Press, New York (1987), 2nd ed., Chapter XVI.
See for example, Chapters 8 and 9 of I. M. Khalatnikov, An Introduction to the Theory of Superfluidity, 1965, 1989 Addison-Wesley Publishing Co. Inc. California. The method used here follows closely to the one constructed by one of us for the hydrodynamics of superfluid 3He-A, Tin-Lun Ho, in Sanibel Symposium on Quantum Fluids and Solids, S. B. Trickey, E. D. Adams, and J. W. Duffy (eds.) (1977), p. 97.
V. B. Shenoy and T. L. Ho, to appear in April 27 issue of Physical Review Letters, 1998.
E. Zaremba, A. Griffin, and T. Nikuni (Cond-mat/9705134).
M. Kavoulakis, C. J. Pethick, and H. Smith (Cond-mat/9710130).
T. Nikuni and A. Griffin (Cond-mat/9710130).
The spinor effects are discussed in Tin-Lun Ho and V. B. Shenoy, Phys. Rev. Lett. 77, 2595 (1996).
M. Houbiers, R. Ferwerda, H. T. C. Stoof, W. I. McAlexander, C. A. Sackett, and R. G. Hulet, Phys. Rev. A 56, 4864 (1997).
M. A. Baranov, Yu. Kagan, and M. Yu. Kagan, Zh. Eksp. Teor. Fiz. 64, 273 (1996). [Sov. Phys. JETP Lett. 64, 301 (1996)].
See the Appendix of P. C. Martin, O. Parodi, and P. S. Pershan, Phys. Rev. A 6, 2401 (1972).
See, for example, Chapter 8 of I. M. Khalatnikov, An Introduction to the Theory of Superfluidity, 1965, 1989 Addison-Wesley Publishing Co. Inc. California.
See L. D. Landau and E. M. Lifshitz, Fluid Mechanics, Pergamon Press, New York (1987), 2nd ed., Chapter VI.
Rights and permissions
About this article
Cite this article
Ho, TL., Shenoy, V.B. The Hydrodynamic Equations of Superfluid Mixtures in Magnetic Traps. Journal of Low Temperature Physics 111, 937–952 (1998). https://doi.org/10.1023/A:1022285510305
Issue Date:
DOI: https://doi.org/10.1023/A:1022285510305