Interference of a Bose-Einstein condensate in a hard-wall trap: From the nonlinear Talbot effect to the formation of vorticity

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 63, Issue 4, 2001, Pages 1-7

  Ruostekoski, J ^a,b   Kneer, B ^b   Schleich, W P ^b   Rempe, G ^c  

^a UNIVERSITY OF HERTFORDSHIRE   (United Kingdom)

^b UNIVERSITY OF ULM   (Germany)

^c MAX PLANCK INSTITUT FÜR QUANTENOPTIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 18344387792     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.63.043613     Document Type: Article

References (37)

1. M.R. Andrews, C.G. Townsend, H.-J. Miesner, D.S. Durfee, D.M. Kurn, and W. Ketterle, Science 275, 637 (1997).
2. L. Deng, E.W. Hagley, J. Denschlag, J.E. Simsarian, M. Edwards, C.W. Clark, K. Helmerson, S.L. Rolston, and W.D. Phillips, Phys. Rev. Lett. 83, 5407 (1999).
3. K. Bongs, S. Burger, G. Birkl, K. Sengstock, W. Ertmer, K. Rzazewski, A. Sanpera, and M. Lewenstein, Phys. Rev. Lett. 83, 3577 (1999).
4. M. Boshier et al. (unpublished).
5. S. Burger, K. Bongs, K. Sengstock, and W. Ertmer (unpublished).
6. For theory, see also P. Villain and M. Lewenstein, Phys. Rev. A 62, 043601 (2000).
7. J. Javanainen and S.M. Yoo, Phys. Rev. Lett. 76, 161 (1996); S.M. Yoo, J. Ruostekoski, and J. Javanainen, J. Mod. Opt. 44, 1763 (1997).
8. J. Javanainen and S.M. Yoo, Phys. Rev. Lett. 76, 161 (1996); S.M. Yoo, J. Ruostekoski, and J. Javanainen, J. Mod. Opt. 44, 1763 (1997).
9. G. Lenz, P. Meystre, and E.M. Wright, Phys. Rev. Lett. 71, 3271 (1993).
10. L. Deng, E. Hagley, J. Wen, M. Trippenbach, Y. Band, P. Julienne, J. Simsarian, K. Helmerson, S. Rolston, and W. Phillips, Nature (London) 398, 218 (1999).
11. J. Javanainen, Phys. Rev. Lett. 57, 3164 (1986); A. Smerzi, S. Fantoni, S. Giovanazzi, and S. R. Shenoy, ibid. 79, 4950 (1997); J Ruostekoski and D.F. Walls, Phys. Rev. A 58, R50 (1998); M.W. Jack, M.J. Collett, and D.F. Walls, ibid. 54, R4625 (1996); I. Zapata, A. Leggett, F. Sols, ibid. 57, R28 (1998); J. Williams, R. Walser, J. Cooper, E. Cornell, and M. Holland, ibid. 59, R31 (1999).
12. J. Javanainen, Phys. Rev. Lett. 57, 3164 (1986); A. Smerzi, S. Fantoni, S. Giovanazzi, and S. R. Shenoy, ibid. 79, 4950 (1997); J Ruostekoski and D.F. Walls, Phys. Rev. A 58, R50 (1998); M.W. Jack, M.J. Collett, and D.F. Walls, ibid. 54, R4625 (1996); I. Zapata, A. Leggett, F. Sols, ibid. 57, R28 (1998); J. Williams, R. Walser, J. Cooper, E. Cornell, and M. Holland, ibid. 59, R31 (1999).
13. J. Javanainen, Phys. Rev. Lett. 57, 3164 (1986); A. Smerzi, S. Fantoni, S. Giovanazzi, and S. R. Shenoy, ibid. 79, 4950 (1997); J Ruostekoski and D.F. Walls, Phys. Rev. A 58, R50 (1998); M.W. Jack, M.J. Collett, and D.F. Walls, ibid. 54, R4625 (1996); I. Zapata, A. Leggett, F. Sols, ibid. 57, R28 (1998); J. Williams, R. Walser, J. Cooper, E. Cornell, and M. Holland, ibid. 59, R31 (1999).
14. J. Javanainen, Phys. Rev. Lett. 57, 3164 (1986); A. Smerzi, S. Fantoni, S. Giovanazzi, and S. R. Shenoy, ibid. 79, 4950 (1997); J Ruostekoski and D.F. Walls, Phys. Rev. A 58, R50 (1998); M.W. Jack, M.J. Collett, and D.F. Walls, ibid. 54, R4625 (1996); I. Zapata, A. Leggett, F. Sols, ibid. 57, R28 (1998); J. Williams, R. Walser, J. Cooper, E. Cornell, and M. Holland, ibid. 59, R31 (1999).
15. J. Javanainen, Phys. Rev. Lett. 57, 3164 (1986); A. Smerzi, S. Fantoni, S. Giovanazzi, and S. R. Shenoy, ibid. 79, 4950 (1997); J Ruostekoski and D.F. Walls, Phys. Rev. A 58, R50 (1998); M.W. Jack, M.J. Collett, and D.F. Walls, ibid. 54, R4625 (1996); I. Zapata, A. Leggett, F. Sols, ibid. 57, R28 (1998); J. Williams, R. Walser, J. Cooper, E. Cornell, and M. Holland, ibid. 59, R31 (1999).
16. J. Javanainen, Phys. Rev. Lett. 57, 3164 (1986); A. Smerzi, S. Fantoni, S. Giovanazzi, and S. R. Shenoy, ibid. 79, 4950 (1997); J Ruostekoski and D.F. Walls, Phys. Rev. A 58, R50 (1998); M.W. Jack, M.J. Collett, and D.F. Walls, ibid. 54, R4625 (1996); I. Zapata, A. Leggett, F. Sols, ibid. 57, R28 (1998); J. Williams, R. Walser, J. Cooper, E. Cornell, and M. Holland, ibid. 59, R31 (1999).
17. M.R. Matthews, B.P. Anderson, P.C. Haijan, D.S. Hall, C.E. Wieman, and E.A. Cornell, Phys. Rev. Lett. 83, 2498 (1999).
18. K. Madison, F. Chevy, W. Wohlleben, and J. Dalibard, Phys. Rev. Lett. 84, 806 (2000).
19. For recent theoretical studies of the ground-state properties and the stability of vortices in harmonic and toroidal traps: F. Dalfovo and S. Stringari, Phys. Rev. A 53, 2477 (1996).
20. B. Jackson, J.F. McCann, and C.S. Adams, Phys. Rev. Lett. 80, 3903 (1998).
21. E.L. Bolda and D.F. Walls, Phys. Rev. Lett. 81, 5477 (1998).
22. S. Burger, K. Bongs, S. Dettmer, W. Ertmer, K. Sengstock, A. Sanpera, G.V. Shlyapnikov, and M. Lewenstein, Phys. Rev. Lett. 83, 5198 (1999).
23. J. Denschlag, J.E. Simsarian, D.L. Feder, C. Clark, L.A. Collins, J. Cubizolles, L. Deng, E.W. Hagley, K. Helmerson, W.P. Reinhard, S.L. Rolston, B.I. Schneider, and W.P. Phillips, Science 287, 97 (2000).
24. W.P. Reinhardt and C.W. Clark, J. Phys. B 30, 785 (1997); T.F. Scott, R.J. Ballagh, and K. Burnett, ibid. 31, 329 (1998); Th. Busch and J.R. Anglin, e-print cond-mat/9809408.
25. W.P. Reinhardt and C.W. Clark, J. Phys. B 30, 785 (1997); T.F. Scott, R.J. Ballagh, and K. Burnett, ibid. 31, 329 (1998); Th. Busch and J.R. Anglin, e-print cond-mat/9809408.
26. Y.S. Kivshar and B. Luther-Davies, Phys. Rep. 298, 81 (1998), and references therein.
27. U. Ernst, A. Marte, F. Schreck, J. Schuster, and G. Rempe, Europhys. Lett. 41, 1 (1998).
28. U. Ernst, J. Schuster, F. Schreck, A. Marte, A. Kuhn, and G. Rempe, Appl. Phys. B: Lasers Opt. 67, 719 (1998).
29. I. Manek, Yu. B. Ovchinnikov, and R. Grimm, Opt. Commun. 147, 67 (1998).
30. A.E. Kaplan, P. Stifter, K.A.H. van Leeuwen, W.E. Lamb, Jr., and W.P. Schleich, Phys. Scr. T76, 93 (1998); I. Marzoli, F. Saif, I. Bialynicki-Birula, O.M. Friesch, A.E. Kaplan, and W.P. Schleich, Acta Phys. Slov. 48, 323 (1998).
31. A.E. Kaplan, P. Stifter, K.A.H. van Leeuwen, W.E. Lamb, Jr., and W.P. Schleich, Phys. Scr. T76, 93 (1998); I. Marzoli, F. Saif, I. Bialynicki-Birula, O.M. Friesch, A.E. Kaplan, and W.P. Schleich, Acta Phys. Slov. 48, 323 (1998).
32. S. Choi, K. Burnett, O. Friesch, B. Kneer, and W.P. Schleich (unpublished).
33. J. Ruostekoski and D.F. Walls, Phys. Rev. A 55, 3625 (1997).
34. D.M. Stamper-Kurn, A.P. Chikkatur, A. Görlitz, S. Innouye, S. Gupta, D.E. Pritchard, and W. Ketterle, Phys. Rev. Lett. 83, 2876 (1999).
35. A.G. Rojo, J.L. Cohen, and P.R. Berman, Phys. Rev. A 60, 1482 (1999).
36. The dynamics of the GPE with attractive interactions generates bright solitons consisting of matter-wave packets. However, for large attractive interactions, the BEC remains focused in the center of the trap and the box boundary does not play an important role.
37. D.S. Hall, M.R. Matthews, C.E. Wieman, and E.A. Cornell, Phys. Rev. Lett. 81, 1543 (1998).