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Bose-Einstein Condensates in Spatially Periodic Potentials

  • Kirstine Berg-Sørensen
  • Klaus Mølmer
Chapter
Part of the Physics of Atoms and Molecules book series (PAMO)

Abstract

Bose-Einstein condensation in trapped dilute gases1,1,3 was observed only recently. Nevertheless, the experimental developments in this field have advanced rapidly, and the properties of condensates in different circumstances have become a matter of practical interest. In this work we study the influence of a spatially periodic external potential on the properties of a Bose-Einstein condensate, as reported elsewhere in more detail4. Such a periodic potential may be induced by a far-off resonant laser field, and with present trapped condensates it is possible to have a condensate extending over many periods of such a field. The proposed periodic potential could be realized by a simple rearrangement of the laser field in the experiments with an optically trapped condensate5.

Keywords

Periodic Potential Bloch Oscillation Condensate Dynamic Adiabaticity Assumption Adiabatic Rapid Passage 
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.
    M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Observation of Bose-Einstein condensation in adilute atomic vapor, Science, 269:198 (1995).ADSCrossRefGoogle Scholar
  2. 2.
    K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn, and W. Ketterle, Bose-Einstein condensation in a gas of sodium atoms, Phys. Rev. Lett., 75:3969 (1995).ADSCrossRefGoogle Scholar
  3. 3.
    C. C. Bradley, C. A. Sackett, and R. G. Hulet, Bose-Einstein condensation of lithium: Observation of limited condensate number, Phys. Rev. Lett., 78:985 (1997).ADSCrossRefGoogle Scholar
  4. 4.
    Kirstine Berg-Sørensen and Klaus Mølmer, Bose-Einstein condensates in spatially periodic potentials, to appear in Phys. Rev. A, August 1998.Google Scholar
  5. 5.
    D. M. Stamper-Kurn, M. R. Andrews, A. P. Chikkatur, S. Inouye, H.-J. Miesner, J. Stenger, and W. Ketterle, Optical confinement of a Bose-Einstein condensate, Phys. Rev. Lett. 80:2027(1998).ADSCrossRefGoogle Scholar
  6. 6. See, e.g., H. Wallis, Quantum theory of atomic motion in laser light. Physics Reports 255:203 (1995).ADSCrossRefGoogle Scholar
  7. 7.
    M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. M. Kurn, D. S. Durfee, and W. Ketterle, Bose-Einstein condensation in a tightly confining dc magnetic trap, Phys. Rev. Lett. 77:416 (1996).ADSCrossRefGoogle Scholar
  8. 8.
    M. Lewenstein and L. You, Quantum phase diffusion of a Bose-Einstein condensate, Phys. Rev. Lett. 77:3489 (1996).ADSCrossRefGoogle Scholar
  9. 9.
    K. Mølmer, Phase collapse and excitations in Bose-Einstein condensates, Phys. Rev. A 58:566 (1998).ADSCrossRefGoogle Scholar
  10. 10.
    D. S. Jin, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Collective excitations of a Bose-Einstein condensate in a dilute gas, Phys. Rev. Lett. 77:420 (1996); M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. M. Kurn, D. S. Durfee, C. G. Townsend, and W. Ketterle, Collective excitations of a Bose-Einstein condensate in a magnetic trap, Phys. Rev. Lett. 77:988(1996).ADSCrossRefGoogle Scholar
  11. 11.
    D. S. Jin, M. R. Matthews, J. R. Ensher, C. E. Wieman, and E. A. Cornell, Temperature-dependent damping and frequency shifts in collective excitations of dilute Bose-Einstein condensates, Phys. Rev. Lett. 78:764 (1997).ADSCrossRefGoogle Scholar
  12. 12.
    Y. Castin and R. Dum, Instability and depletion of an excited Bose-Einstein condensate in a trap, Phys. Rev. Lett. 79:3553 (1997).ADSCrossRefGoogle Scholar
  13. 13.
    Mark Raizen, Christophe Salomon, and Qian Niu, New light on quantum transport, Physics Today July 1997, p.30.Google Scholar
  14. 14.
    Q. Niu, X.-G. Zhao, G. A. Geogakis, and M. G. Raizen, Atomic Landau-Zener tunneling and Wannier-Stark ladders in optical potentials, Phys. Rev. Lett. 76:4504 (1996); C. F. Bharucha, K. W. Madison, P. R. Morrow, S. R. Wilkinson, B. Sundaram, and M. G. Raizen, Observation of atomic tunneling from an accelerated optical potential, Phys. Rev. A 55:R857 (1997).Google Scholar
  15. 15.
    M. Ben Dahan, E. Peik, J. Reichel, Y. Castin, and C. Salomon, Bloch oscillations of atoms in an optical potential, Phys. Rev. Lett. 76:4508 (1996); E. Peik, M. Ben Dahan, I. Bouchole, Y. Castin, and C. Salomon, Bloch oscillations of atoms, adiabatic rapid passage, and monokinetic atomic beams, Phys. Rev. A 55:2989 (1997).ADSCrossRefGoogle Scholar
  16. 16.
    N. W. Ashcroft and N. D. Mermin, Solid State Physics Saunders, Philadelphia, (1976).Google Scholar
  17. 17.
    M.-O. Mewes, M. R. Andrews, D. M. Kurn, D. S. Durfee, C. G. Townsend, and W. Ketterle, Output coupler for Bose-Einstein condensed atoms, Phys. Rev. Lett. 78:582(1997).ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Kirstine Berg-Sørensen
    • 1
  • Klaus Mølmer
    • 2
  1. 1.Niels Bohr Instituteørsted LaboratoryCopenhagen øDenmark
  2. 2.Institute of Physics and AstronomyAarhus UniversityÅrhus CDenmark

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