Pseudopotential model of ultracold atomic collisions in quasi-one- and two-dimensional traps

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 68, Issue 3, 2003, Pages

  Bolda, E L ^a   Tiesinga, E ^a   Julienne, P S ^a  

^a NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; ELECTRON RESONANCE; ELECTRON SCATTERING; ELECTRON TRAPS; FERMI LEVEL; GRAPH THEORY; GROUND STATE; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; VAN DER WAALS FORCES;

ONE-DIMENSIONAL TRAPS; OPTICAL LATTICE; TWO-DIMENSIONAL SCATTERING; TWO-DIMENSIONAL TRAPS; ULTRACOLD ATOMIC COLLISION;

ATOMIC PHYSICS;

EID: 0242442530     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (34)

1. M. Greiner et al., Nature (London) 415, 39 (2002).
2. E.L. Bolda, E. Tiesinga, and P.S. Julienne, Phys. Rev. A 66, 013403 (2002).
3. G.K. Brennen, C.M. Caves, P.S. Jessen, and I.H. Deutsch, Phys. Rev. Lett. 82, 1060 (1999).
4. D. Jaksch et al., Phys. Rev. Lett. 82, 1975 (1999).
5. C. Orzel et al., Science 291, 2386 (2001).
6. J. HeckerDenschlag et al., J. Phys. B 35, 3095 (2002).
7. A. Görlitz et al., Phys. Rev. Lett. 87, 130402 (2001).
8. K. Bongs et al., Phys. Rev. A 63, 031602 (2001).
9. J.H. Thywissen et al., Eur. Phys. J. D 7, 361 (1999).
10. S. Dettmer et al., Phys. Rev. Lett. 87, 160406 (2001).
11. F. Schreck et al., Phys. Rev. Lett. 87, 080403 (2001).
12. M. Olshanii, Phys. Rev. Lett. 81, 938 (1998).
13. T. Bergeman, M. Moore, and M. Olshanii, e-print cond-mat/0210556.
14. V. Dunjko, V. Lorent, and M. Olshanii, Phys. Rev. Lett. 86, 5413 (2001).
15. B. Paredes, P. Fedichev, J.I. Cirac, and P. Zoller, Phys. Rev. Lett. 87, 010402 (2001).
16. H.T.C. Stoof and M. Bijlsma, Phys. Rev. E 47, 939 (1993).
17. T. Busch, B.-G. Englert, K. Rza̧zewski, and M. Wilkens, Found. Phys. 28, 549 (1998).
18. M. Block and M. Holthaus, Phys. Rev. A 65, 052102 (2002).
19. D. Blume and C.H. Greene, Phys. Rev. A 65, 043613 (2002).
20. D.S. Petrov and G.V. Shlyapnikov, Phys. Rev. A 64, 012706 (2001).
21. K.I. Petsas, A.B. Coates, and G. Grynberg, Phys. Rev. A 50, 5173 (1994).
22. G.F. Gribakin and V.V. Flambaum, Phys. Rev. A 48, 546 (1993).
23. J. Weiner, V.S. Bagnato, S. Zilio, and P.S. Julienne, Rev. Mod. Phys. 71, 1 (1999).
24. C.J. Williams et al., Phys. Rev. A 60, 4427 (1999).
25. K. Huang and C.N. Yang, Phys. Rev. 105, 767 (1957).
26. E. Tiesinga, C.J. Williams, F.H. Mies, and P.S. Julienne, Phys. Rev. A 61, 063416 (2000).
27. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (U.S. GPO, Washington, DC, 1972).
28. D. Blume, cond-mat/0206244.
29. S. Inouye et al., Nature (London) 392, 151 (1998).
30. F.A. van Abeelen and B.J. Verhaar, Phys. Rev. Lett. 83, 1550 (1999).
31. F.H. Mies, E. Tiesinga, and P.S. Julienne, Phys. Rev. A 61, 022721 (2000).
32. K. Góral, L. Santos, and M. Lewenstein, Phys. Rev. Lett. 88, 170406 (2002).
33. A. Derevianko, e-print cond-mat/0212597.
34. L. Infeld and T.E. Hull, Rev. Mod. Phys. 23, 2168 (1951).