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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
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).
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).
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).
Kirstine Berg-Sørensen and Klaus Mølmer, Bose-Einstein condensates in spatially periodic potentials, to appear in Phys. Rev. A, August 1998.
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).
6. See, e.g., H. Wallis, Quantum theory of atomic motion in laser light. Physics Reports 255:203 (1995).
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).
M. Lewenstein and L. You, Quantum phase diffusion of a Bose-Einstein condensate, Phys. Rev. Lett. 77:3489 (1996).
K. Mølmer, Phase collapse and excitations in Bose-Einstein condensates, Phys. Rev. A 58:566 (1998).
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).
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).
Y. Castin and R. Dum, Instability and depletion of an excited Bose-Einstein condensate in a trap, Phys. Rev. Lett. 79:3553 (1997).
Mark Raizen, Christophe Salomon, and Qian Niu, New light on quantum transport, Physics Today July 1997, p.30.
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).
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).
N. W. Ashcroft and N. D. Mermin, Solid State Physics Saunders, Philadelphia, (1976).
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).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media New York
About this chapter
Cite this chapter
Berg-Sørensen, K., Mølmer, K. (1999). Bose-Einstein Condensates in Spatially Periodic Potentials. In: Whelan, C.T., Dreizler, R.M., Macek, J.H., Walters, H.R.J. (eds) New Directions in Atomic Physics. Physics of Atoms and Molecules. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4721-1_37
Download citation
DOI: https://doi.org/10.1007/978-1-4615-4721-1_37
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7139-7
Online ISBN: 978-1-4615-4721-1
eBook Packages: Springer Book Archive