Excitations of a Bose-Einstein condensate in a one-dimensional optical lattice

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 68, Issue 1, 2003, Pages

  Martikainen, J P ^a   Stoof, H T C ^a  

^a UTRECHT UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ATOMS; ELECTRON ABSORPTION; EQUATIONS OF MOTION; GROUND STATE; HAMILTONIANS; LAGRANGE MULTIPLIERS; LASER BEAMS; MAGNETIC FIELD EFFECTS; PHASE TRANSITIONS; PHOTONS; VARIATIONAL TECHNIQUES;

BOSE-EINSTEIN CONDENSATE; ONE-DIMENSIONAL OPTICAL LATTICE; THOMAS-FERMI REGIME;

ELECTRON GAS;

EID: 0141795675     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (38)

1. M. Cristiani, O. Morsch, J.H. Müller, D. Ciampini, and E. Arimondo, Phys. Rev. A 65, 063612 (2002).
2. Y.B. Ovchinnikov, J.H. Müller, M.R. Doery, E.J.D. Vredenbregt, K. Helmerson, S.L. Rolston, and W.D. Phillips, Phys. Rev. Lett. 83, 284 (1999).
3. C. Orzel, A.K. Tuchman, M.L. Fenselau, M. Yasuda, and M.A. Kasevich, Science 291, 2386 (2001).
4. M. Greiner, O. Mandel, T.W. Hänsch, and I. Bloch, Nature (London) 419, 51 (2002).
5. F.S. Cataliotti, S. Burger, C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi, and M. Inguscio, Science 293, 843 (2001).
6. S. Burger, F.S. Cataliotti, C. Fort, F. Minardi, M. Inguscio, M. L. Chiofalo, and M.P. Tosi, Phys. Rev. Lett. 86, 4447 (2001).
7. D. Jaksch, C. Bruder, J. Cirac, C.W. Gardiner, and P. Zoller, Phys. Rev. Lett. 81, 3108 (1998).
8. D. van Oosten, P. van der Straten, and H.T.C. Stoof, Phys. Rev. A 63, 053601 (2001).
9. M. Greiner, O. Mandel, T. Esslinger, T.W. Hänsch, and I. Bloch, Nature (London) 415, 39 (2002).
10. V. Bretin, P. Rosenbusch, F. Chevy, G.V. Shlyapnikov, and J. Dalibard, Phys. Rev. Lett. 90, 100403 (2003).
11. B. Wu and Q. Niu, Phys. Rev. A 64, 061603 (2001).
12. V.V. Konotop and M. Salerno, Phys. Rev. A 65, 021602 (2002).
13. B.B. Baizakov, V.V. Konotop, and M. Salerno, J. Phys. B 35, 5105 (2002).
14. Y.B. Band and M. Trippenbach, Phys. Rev. A 65, 053602 (2002).
15. P. Massignan and M. Modugno, Phys. Rev. A 67, 023614 (2003).
16. M. Krämer, L. Pitaevskii, and S. Stringari, Phys. Rev. Lett. 88, 180404 (2002).
17. S. Stringari, Phys. Rev. Lett. 77, 2360 (1996).
18. M. Greiner, I. Bloch, O. Mandel, T. Hänsch, and T. Esslinger, Appl. Phys. B: Lasers Opt. B73, 769 (2001).
19. O. Morsch, M. Cristiani, J.H. Müller, D. Ciampini, and E. Arimondo, Phys. Rev. A 66, 021601 (2002).
20. C. Fort, F.S. Cataliotti, L. Fallani, F. Ferlaino, P. Maddaloni, and M. Inguscio, Phys. Rev. Lett. 90, 140405 (2003).
21. L. With typical parameters this condition is always met as long as the chemical potential is much smaller than the lattice depth.
22. D. van Oosten, P. van der Straten, and H.T.C. Stoof, Phys. Rev. A 67, 033606 (2003).
23. Y. Kagan, E.L. Surkov, and G.V. Shlyapnikov, Phys. Rev. A 55, R18 (1997).
24. D.S. Jin, J.R. Ensher, M.R. Matthews, C.E. Wieman, and E. Cornell, Phys. Rev. Lett. 77, 420 (1996).
25. M. Edwards, P.A. Ruprecht, K. Burnett, R.J. Dodd, and C.W. Clark, Phys. Rev. Lett. 77, 1671 (1996).
26. U.A. Khawaja and H. Stoof, Phys. Rev. A 65, 013605 (2001).
27. K.W. Madison, F. Chevy, W. Wohlleben, and J. Dalibard, Phys. Rev. Lett. 86, 4443 (2001).
28. E. Hodby, G. Hechenblaikner, S.A. Hopkins, O.M. Maragó, and C.J. Foot, Phys. Rev. Lett. 88, 010405 (2002).
29. D.L. Feder, C.W. Clark, and B.I. Schneider, Phys. Rev. Lett. 82, 4956 (1999).
30. A. Recati, F. Zambelli, and S. Stringari, Phys. Rev. Lett. 86, 377 (2001).
31. S. Sinha and Y. Castin, Phys. Rev. Lett. 87, 190402 (2001).
32. R.J. Dodd, K. Burnett, M. Edwards, and C.W. Clark, Phys. Rev. A 56, 587 (1997).
33. F. Zambelli and S. Stringari, Phys. Rev. Lett. 81, 1754 (1998).
34. A MATHEMATICA file containing the relevant Lagrangian and the solution for the quadrupole mode frequencies can be down-loaded from URL http://www.phys.uu.nl/~martiknn/BEC_In_1DLattice.html
35. J.O. Anderson, U.A. Khawaja, and H.T.C. Stoof, Phys. Rev. Lett. 88, 070407 (2002).
36. U.A. Khawaja, J.O. Andersen, N.P. Proukakis, and H.T.C. Stoof, Phys. Rev. A 66, 013615 (2002).
37. U.A. Khawaja, N.P. Proukakis, J.O. Andersen, M.W.J. Romans, and H.T.C. Stoof, e-print cond-mat/0303485.
38. J. Javanainen, Phys. Rev. A 60, 4902 (1999).