Spin polarized 3He

  • C. Lhuillier
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 198)

Abstract

The effects of a strong nuclear polarization on the macroscopic properties of gaseous and liquid 3He at low temperatures are discussed. They are all pure consequences of the atom indistinguishability.

In the gas phase, these effects can completely be calculated from first principles. We discuss the changes of the heat conduction and viscosity originating from the strong reduction of the effective interaction between polarized fermions and the existence of coupling terms between heat conduction and longitudinal spin diffusion. Another consequence of particle indistinguishability is the appearance of transverse spin waves in a dilute, highly polarized gas at low temperatures. In the degenerate liquid phase, the nuclear polarization has a double role : it modifies the effective interaction between atoms and also reduces the phase space available to the system. We give some illustrations of this last effect in a variational framework, and discuss the accuracy of a variational calculation of unpolarized and polarized 3He. We finally give a brief description of the experiments actually in progress at the E.N.S.

Keywords

Nuclear Polarization Spin Diffusion Collision Term Transverse Spin Quantum Boltzmann Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. (1).
    J. Phys. Coll., 41, C-7 (1980); “Spin polarized quantum systems”, and references contained.Google Scholar
  2. (2).
    S.B. Crampton, T.J. Greytak, D. Kleppner, W.D. Phillips, D.A. Smith, A. Weinrib, Phys. Rev. Lett. 42, 1039 (1979)Google Scholar
  3. (3).
    J.T.M. Walraven, J.F. Silvera and A.P.M. Matthey, Phys. Rev. Lett. 45, 449 (1980)Google Scholar
  4. (3)a.
    M. Morrow, R. Jochemsen, A.J. Berlinsky and W.N. Eardy, Phys. Rev. Lett. 46, 165 (1981)Google Scholar
  5. (3)b.
    R.W. Cline, T.J. Greytak and D. Kleppner, Phys. Rev. Lett. 47,1195 (1981)Google Scholar
  6. (3)c.
    R. Sprik, J.T.M. Walraven, G.H. Van Yperen and J.F. Silvera, Phys. Rev. Lett. 49, 153 (1982)Google Scholar
  7. (3)d.
    B. Yurke, J.S. Denker, B.R. Johnson, L.P. Lévy, D.M. Lee and J.H. Freed, preprintGoogle Scholar
  8. (4).
    R. Barbé, F. Laloë, J. Brossel, Phys. Rev. Lett. 34, 1488 (1975)Google Scholar
  9. (5).
    V. Lefévre-Seguin, F. Laloë, to be published in J. Physique (1983)Google Scholar
  10. (6).
    M.A. Taber, LT-15, J. Physique, C-6, 39, 192 (1978)Google Scholar
  11. (7).
    M. Himbert, V. Lefèvre-Seguin, P.J. Nacher, J. Dupont-Roc, M. Leduc and F. Laloë, J. Physique Lett. 44, 523 (1983)Google Scholar
  12. (8).
    H. Godfrin, G. Frossati, D. Thoulouze, M. Chapellier and W.G. Clark, J. Phys. Coll. 39, C6–287 (1978)Google Scholar
  13. (8)b).
    H. Godfrin, G. Frossati, B. Hebral, D. Thoulouze, J. Phys. Coll. 41, C7–275 (1980)Google Scholar
  14. (9).
    B. Castaing, P. Nozières, J. Physique, 40, 257 (1979)Google Scholar
  15. (10).
    This elementary quantum mechanical effect is illustrated for the present situation in ref. (1) page 51.Google Scholar
  16. (11).
    E.P. Bashkin and A.E. Meyerovich, Advances in Physics, 30, 1–92 (1981) Some of the effects predicted by these authors have already been observedGoogle Scholar
  17. (11)a.
    D.S. Greywall and M.A. Paalanen, Phys. Rev. Lett. 46, 1292 (1981)Google Scholar
  18. (11)b.
    W. Gully, B.A.P.S. (April 1983).Google Scholar
  19. (12).
    L. Waldmann, Z. Naturforsch. 13a, 609 (1958)Google Scholar
  20. (13).
    R.F. Snider, J. Chem. Phys. 32, 1051 (1960)Google Scholar
  21. (14).
    C. Lhuillier and F. Laloë, J. Phys. 43, 197 (1982)Google Scholar
  22. (15).
    C. Lhuillier and F. Laloë, J. Phys. 43, 225 (1982)Google Scholar
  23. (16).
    C. Lhuillier, J. Phys. 44, 1 (1983)Google Scholar
  24. (17).
    V.P. Silin, J.E.T.P. 33, 1227 (1957); Sov. Phys. JETP 6, 945 (1958)Google Scholar
  25. (18).
    V.J. Emery, Phys. Rev. 133A, 661 (1964)Google Scholar
  26. (19).
    A.J. Legett, M.J. Rice, Phys. Rev. Lett. 20, 586 (1968)Google Scholar
  27. (19)a.
    A.J. Legett, J. Phys. C 12, 447 (1970)Google Scholar
  28. (20).
    L.R. Corrucini, D.D. Osheroff, D.M. Lee and R.C. Richardson, Phys. Rev. Lett. 27, 650 (1971); J. Low Temp. Phys. 8, 229 (1972)Google Scholar
  29. (21).
    V. Lefèvre-Seguin, P.J. Nacher, and F. Laloë, J. Physique, 43, 737 (1982)Google Scholar
  30. (22).
    K.E. Schmidt, M.A. Lee, M.H. Kalos, G.V. Chester, Phys. Rev. Lett. 47, 807 (1981)Google Scholar
  31. (23).
    M.A. Lee, K.E. Schmidt, M.H. Kálos, G.V. Chester, Phys. Rev. Lett. 46, 728 (1981)Google Scholar
  32. (24).
    C. Lhuillier, D. Levesque, Phys. Rev. B 23, 2203 (1981)Google Scholar
  33. (25).
    E. Manouzakis, S. Fantoni, V.R. Pandharipande, Q.N. Usmani, preprint submitted to Phys. Rev. B, April 1983Google Scholar
  34. (26).
    A. Bijl, Physica, 7, 869 (1940)Google Scholar
  35. (27).
    R.B. Dingle, Phil. Mag. 40, 573 (1949)Google Scholar
  36. (26).
    R. Jastrow, Phys. Rev. 98, 1479 (1955)Google Scholar
  37. (29).
    R.P. Feynman, Phys. Rev. 94, 262 (1954)Google Scholar
  38. (29)a.
    R.P. Feynman and M. Cohen, Phys. Rev. 102, 1189 (1956)Google Scholar
  39. (29)b.
    M. Cohen and R.P. Feynman, Phys. Rev. 107, 13 (1957)Google Scholar
  40. (30).
    See for instance the review of: C.W. Woo in “Microscopic Calculations for Condensed Phases of Helium” in “the Physics of Liquid and Solid Helium”, K.H. Bennemann and J.B. Ketterson editors (J. Wiley & Sons, 1976).Google Scholar
  41. (31).
    K.S. Bedell and K.F. Quader, Physics Lett. 96A, 91 (1983)Google Scholar
  42. (32).
    T.L. Ainsworth, K.S. Bedell, C.E. Brown and K.F. Quader, J. Low Temp. Phys. 50, 319 (1983)Google Scholar
  43. (33).
    B.L. Friman and E. Krotschek, Phys. Rev. Lett. 49, 1705 (1982)Google Scholar
  44. (34).
    D. Vollhardt, preprint, Mai 1983)Google Scholar
  45. (35).
    G. Schumacher, D. Thoulouze, B. Castaing, Y. Chabre, P. Segranson and J. Joffrin, J. Physique Lett. 40, L143 (1979)Google Scholar
  46. (36).
    M. Chapellier, G. Frossati, F.B. Rassmussen, Phys. Rev. Lett. 42, 904 (1979)Google Scholar
  47. (37).
    F.D. Colegrove, L.D. Schearer, and G.K. Walters, Phys. Rev. 132, 2561 (1963)Google Scholar
  48. (38).
    P.J. Nacher, M. Leduc, G. Trénec and F. Laloë, J. Physique Lett. 43, L–525 (1982)Google Scholar
  49. 39).
    M. Leduc, P.J. Nacher, s.B. Crampton and F. Laloë, in the Proceedings of the Conference on “Quantum Fluids and Solids”, in Sanibel, Florida (1983)Google Scholar
  50. (40).
    H.H. MacAdams, Phys. Rev. 170, 276 (1963)Google Scholar

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • C. Lhuillier
    • 1
  1. 1.Laboratoire de Spectroscopie Hertzienne de l'E.N.S.Paris Cedex 05

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