Microscopic theory of atom-molecule oscillations in a Bose-Einstein condensate

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 67, Issue 1, 2003, Pages

  Köhler, Thorsten ^a   Gasenzer, Thomas ^a   Burnett, Keith ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMS; BINDING ENERGY; EIGENVALUES AND EIGENFUNCTIONS; EQUATIONS OF MOTION; MAGNETIC FIELD EFFECTS; MOLECULAR DYNAMICS; MOLECULAR STRUCTURE; NONLINEAR EQUATIONS; PHYSICAL PROPERTIES; RUBIDIUM;

ATOM - MOLECULE OSCILLATIONS; BOSE-EINSTEIN CONDENSATE; FESHBACH RESONANCE; MICROSCOPIC DYNAMIC APPROACH; MOLECULAR CONDENSATE;

ELECTRON GAS;

EID: 0037242653     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (30)

1. J. Stenger, S. Inouye, M.R. Andrews, H.-J. Miesner, D.M. Stamper-Kurn, and W. Ketterle, Phys. Rev. Lett. 82, 2422 (1999).
2. R. H. Wynar, R.S. Freeland, D.J. Han, C. Ryu, and D.J. Heinzen, Science 287, 1016 (2000).
3. N.R. Claussen, E.A. Donley, S.T. Thompson, and C.E. Wieman, Phys. Rev. Lett. 89, 010401 (2002).
4. E.A. Donley, N.R. Claussen, S.T. Thompson, and C.E. Wieman, Nature (London) 417, 529 (2002).
5. T. Köhler and K. Burnett, Phys. Rev. A 65, 033601 (2002).
6. F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999).
7. S.J.J.M.F. Kokkelmans and M.J. Holland, Phys. Rev. Lett. 89, 180401 (2002).
8. M. Mackie, K.-A. Suominen, and J. Javanainen, Phys. Rev. Lett. 89, 180403 (2002).
9. E. Timmermans, P. Tommasini, R. Côté, M. Hussein, and A. Kerman, Phys. Rev. Lett. 83, 2691 (1999).
10. J. Fricke, Ann Phys. (N.Y.) 252, 479 (1996).
11. A. Messiah, Mécanique Quantique (Dunod, Paris, 1964), Vol. 2.
12. W.C. Stwalley, Phys. Rev. Lett. 37, 1628 (1976).
13. E. Tiesinga, A.J. Moerdijk, B.J. Verhaar, and H.T.C. Stoof, Phys. Rev. A 46, R1167 (1992)
14. E. Tiesinga, B.J. Verhaar, and H.T.C. Stoof, ibid. 47, 4114 (1993)
15. F.H. Mies, E. Tiesinga, and P.S. Julienne, ibid. 61, 022721 (2000).
16. J.L. Roberts, J.P. Burke, Jr., N.R. Claussen, S.L. Cornish, E.A. Donley, and C.E. Wieman, Phys. Rev. A 64, 024702 (2001).
17. ho considered in the present applications is of the order of 15%. If the magnetic field approached the Feshbach resonance even further, the low-energy binary scattering in the presence of the trap might no longer be well characterized by a scattering length [E. Tiesinga, C.J. Williams, F.H. Mies, and P.S. Julienne, Phys. Rev. A 61, 063416 (2000)].
18. S. Weinberg, The Quantum Theory of Fields, (Campbridge University Press, Cambridge, England, 1996). Vol. 2.
19. R.G. Newton, Scattering Theory of Waves and Particles (Springer, New York, 1982).
20. J. Dalibard, in Proceedings of the International School of Physics, "Enrico Fermi," Course, CXL, edited by M. Inguscio, S. Stringari, and C.E. Wieman (IOS, Amsterdam, 1999).
21. W. Glöckle, The Quantum Mechanical Few-Body Problem, edited by W. Beiglböck (Springer, Berlin, 1983).
22. G.F. Gribakin and V.V. Flambaum, Phys. Rev. A 48, 546 (1993).
23. The dependence of the binding energy on the magnetic field as obtained from the coupled-channel calculation by S.J.J.M.F. Kokkelmans is given, e.g., in Fig. 5 of Ref. [4].
24. C. Lovelace, Phys. Rev. 135, B1225 (1964).
25. V.B. Beliaev, in Lectures on the Theory of Few-body Systems, edited by K. Gaillard (Springer, Berlin, 1990).
26. The unitary pole approximation has been applied to inter-atomic potentials, e.g., to determine the bound states of the helium trimer molecule in G.C. Hegerfeldt and T. Köhler, Phys. Rev. Lett. 84, 3215 (2000).
27. J.L. Roberts, N.R. Claussen, J.P. Burke, Jr., C.H. Greene, E.A. Cornell, and C.E. Wieman, Phys. Rev. Lett. 81, 5109 (1998).
28. K.T. Tang, J.P. Toennies, and C.L. Yiu, Phys. Rev. Lett. 74, 1546 (1995).
29. R.E. Grisenti, W. Schöllkopf, J.P. Toennies, G.C. Hegerfeldt, T. Köhler, and M. Stoll, Phys. Rev. Lett. 85, 2284 (2000).
30. E. Braaten, H.W. Hammer, and S. Hermans, Phys. Rev. A 63, 063609 (2001).