PL EN


Preferences help
enabled [disable] Abstract
Number of results
2002 | 101 | 1 | 47-60
Article title

Bose-Einstein Condensates in Optical Lattices

Content
Title variants
Languages of publication
EN
Abstracts
EN
We study an ultracold dilute gas of bosonic atoms in an optical lattice induced by intersecting laser beams. As a first approximation we neglect confining potential and atom-atom interactions. In this case the Gross-Pitaevskij equation reduces to simple Mathieu equation. Upon choosing periodic boundary conditions this problem has well known periodic solution. This simple picture allows to demonstrate localization of the wave packet and formation of the band structure. We calculate spectrum of the excited states as a function of the strength of modulating potential and using a standard adiabaticity criterion we predict the most efficient way to ramp up optical lattice, without higher state excitation. Finally, we discuss the influence of the atom-atom interaction (nonlinearity) on the adiabaticity of the process.
Keywords
Year
Volume
101
Issue
1
Pages
47-60
Physical description
Dates
published
2002-01
received
2001-06-28
References
  • 1. M.H. Anderson, J.R. Ensher, M.R. Matthews, C.E. Wieman, E. Cornell, Science, 269, 198, 1995; C.C. Bradley, C.A. Sackett, R.G. Hulet, Phys. Rev. Lett., 75, 1687, 1995; K.B. Davis, M.O. Mewes, M.R. Andrews, N.J. van Druten, D.S. Durfee, D.M. Kurn, W. Ketterle, Phys. Rev. Lett., 75, 3969, 1995
  • 2. A. Messiah, Quantum Mechanics, Vol. II, North-Holland, Amsterdam 1975, Ch. 17
  • 3. D. Jaksch, C. Bruder, J.I. Cirac, C.W. Gardiner, P. Zoller, Phys. Rev. Lett., 81, 3108, 1998; D. van Oosten, P. van Stratten, H.T.C. Stoof, Phys. Rev. A, 63, 053601, 2001
  • 4. A.P. Kazantsev, G.I. Surdutovich, V.P. Yakovlev, Mechanical Action of Light on Atoms, World Sci., Singapore 1990
  • 5. M. Kozuma, L. Deng, E.W. Hugley, J. Wen, R. Lutwak, K. Helmerson, S.L. Rolston, W.D. Phillips, Phys. Rev. Lett., 82, 871, 1999
  • 6. J. Stenger, S. Inouye, A.P. Chikkatur, D.M. Stempler-Kuhn, D.E. Prichard, W. Ketterle, Phys. Rev. Lett., 82, 4569, 1998
  • 7. L. Deng, E.W. Hugley, J. Wen, M. Trippenbach, Y. Band, P.S. Julienne, J.E. Smisarian, K. Helmerson, S.L. Rolston, W.D. Phillips, Nature, 398, 218, 1999
  • 8. P. Rudy, R. Ejnisman, N.P. Bigelow, Phys. Rev. Lett., 78, 4906, 97; I.H. Deutsch, P.S. Jensen, Phys. Rev. A, 57, 1978, 1998
  • 9. S.K. Dutta, B.K. Teo, G. Reithel, Phys. Rev. Lett., 83, 1934, 1999
  • 10. See for example G.P. Agrawal, Nonlinear Fiber Optics, Academic Press, New York 1989 or M. Trippenbach, Y.B. Band, Phys. Rev. A, 56, 4242, 1997; Phys. Rev. A, 57, 4791, 1998
  • 11. W.D. Phillips, private communication
  • 12. C. Orzel, A.K. Tuchman, M.L. Fenselan, M. Yasuda, M.A. Kasevich, Science, 291, 2386, 2001
  • 13. P. Morse, H. Feshbach, Methods of Theoretical Physics, McGraw-Hill, New York 1953
  • 14. B.P. Anderson, M.A. Kasevich, Science, 282, 1686, 1998
  • 15. Y.B. Band, B. Malomed, M. Trippenbach, submitted to Phys. Rev. A
  • 16. Y.S. Kivshar, B.A. Malomed, Rev. Mod. Phys., 61, 763, 1989
  • 17. C. Menotti, J.R. Anglin, J.I. Cirac, P. Zoller, Phys. Rev. A, 63, 023601, 2001
  • 18. Y.B. Band, M. Trippenbach, submitted to Phys. Rev. Lett.
Document Type
Publication order reference
YADDA identifier
bwmeta1.element.bwnjournal-article-appv101n104kz
Identifiers
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.