Feshbach resonances in \(\mathsf{^{23}}\)Na- \(\mathsf{^{87}}\)Rb

  • M. Bhattacharya
  • L. O. Baksmaty
  • S. B. Weiss
  • N. P. Bigelow
Article

Abstract.

We describe s-wave collisions between ultracold 23Na and 87Rb atoms in the presence of a magnetic field. For any collision input channel knowledge of the singlet and triplet intermolecular potentials [1] enables us to predict the variation in scattering lengths as a function of the magnetic field. We employ the Born-Oppenheimer approximation to predict several Feshbach resonances for 23Na87Rb. We also include a discussion of why these resonances are expected to be narrow as observed in the case of 87Rb2.

Keywords

Spectroscopy Magnetic Field Neural Network State Physics Complex System 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    S.B. Weiss, M. Bhattacharya, N.P. Bigelow, Phys. Rev. A 68, 042708 (2003)CrossRefGoogle Scholar
  2. 2.
    W.T. Zemke, W.C. Stwalley, J. Chem. Phys. 114, 10811 (2001)CrossRefGoogle Scholar
  3. 3.
    A.J. Leggett, Rev. Mod. Phys. 73, 307 (2001)CrossRefGoogle Scholar
  4. 4.
    C.J. Pethick, H. Smith, Bose-Einstein Condensation in Dilute Gases, 1st edn. (Cambridge University Press, Cambridge, 2002)Google Scholar
  5. 5.
    J.R. Anglin, W. Ketterle, Nature 416, 211 (2002)CrossRefGoogle Scholar
  6. 6.
    D. Gordon, C.M. Savage, Phys. Rev. A 58, 1440 (1998)CrossRefGoogle Scholar
  7. 7.
    T.L. Ho, V.B. Shenoy, Phys. Rev. Lett. 77, 3276 (1996); H. Pu, N.P. Bigelow, Phys. Rev. Lett. 80, 1134 (1998)CrossRefGoogle Scholar
  8. 8.
    E. Tiesinga, A. Moerdijk, B.J. Verhaar, H.T.C. Stoof, Phys. Rev. A 46 (1992)Google Scholar
  9. 9.
    S.L. Cornish, N.R. Claussen, J.L. Roberts, E.A. Cornell, C.E. Wieman, Phys. Rev. Lett. 85, 1795 (2000)CrossRefGoogle Scholar
  10. 10.
    E.A. Donley, N.R. Claussen, S.L. Cornish, J.L. Roberts, E.A. Cornell, C.E. Wieman, Nature 412, 295 (2001)CrossRefGoogle Scholar
  11. 11.
    N.R. Claussen, S.J.J.M.F. Kokkelmans, S.T. Thompson, E.A. Donley, E. Hodby, C.E. Wieman, Phys. Rev. A 67, 060701 (2003)CrossRefGoogle Scholar
  12. 12.
    K.E. Strecker, G.B. Partridge, A.G. Truscott, R.G. Hulet, Nature 417, 150 (2002)CrossRefGoogle Scholar
  13. 13.
    K. Xu, T. Mukaiyama, J.R. Abo-Shaeer, J.K. Chin, D. Miller, W. Ketterle, Phys. Rev. Lett. 91, 210402 (2003)Google Scholar
  14. 14.
    M. Greiner, C.A. Regal, D.S. Jin, Nature 426, 537 (2003)CrossRefGoogle Scholar
  15. 15.
    S. Jochim et al. , Science 301, 1510 (2003)CrossRefGoogle Scholar
  16. 16.
    C.A. Regal, M. Greiner, D.S. Jin, Phys. Rev. Lett. 92, 040403 (2004)Google Scholar
  17. 17.
    J.L. Roberts, N.R. Claussen, J.P. Burke, C.H. Greene, E.A. Cornell, C.E. Wieman, Phys. Rev. Lett. 81, 5109 (1998)CrossRefGoogle Scholar
  18. 18.
    Ph. Courteille, R.S. Freeland, D.J. Heinzen, Phys. Rev. Lett. 81, 69 (1998)CrossRefGoogle Scholar
  19. 19.
    C. Chin, V. Vuletic, A.J. Kerman, S. Chu, Phys. Rev. Lett. 85, 2717 (2000)CrossRefGoogle Scholar
  20. 20.
    S. Inouye, M.R. Andrews, J. Stenger, H.-J. Miesner, D.M. Stamper-Kurn, W. Ketterle, Nature 392, 151 (1998)CrossRefGoogle Scholar
  21. 21.
    A. Simoni, F. Ferlaino, G. Roati, G. Modugno, M. Inguscio, Phys. Rev. Lett. 90, 163202 (2003)CrossRefGoogle Scholar
  22. 22.
    R. Cöte et al. , Feshbach resonances in LiH, Poster, DAMOP 2004, Tucson, ArizonaGoogle Scholar
  23. 23.
    J.P. Burke Jr, J.L. Bohn, B.D. Esry, C.H. Greene, Phys. Rev. Lett. 80, 2097 (1997)Google Scholar
  24. 24.
    C.A. Stan et al. , Feshbach resonances in Na-Li, Presentation, DAMOP 2004, Tucson, ArizonaGoogle Scholar
  25. 25.
    http://citebase.eprints.org/cgi-bin/citations? id=oaitGoogle Scholar
  26. 26.
    H. Heiselberg, C.J. Pethick, H. Smith, L. Viverit, Phys. Rev. Lett. 85, 2418 (2000)CrossRefGoogle Scholar
  27. 27.
    M.J. Bijlsma, B.A. Heringa, H.T.C. Stoof, Phys. Rev. A 61, 053601 (2000)CrossRefGoogle Scholar
  28. 28.
    K. Molmer, Phys. Rev. Lett. 80, 1804 (1998)CrossRefGoogle Scholar
  29. 29.
    H.P. Büchler, G. Blatter, Phys. Rev. Lett. 91, 130404 (2003)CrossRefGoogle Scholar
  30. 30.
    D. Budker, D. Kimball, D.P. Demille, Atomic Physics: An Exploration Through Problems and Solutions (Oxford University Press, Oxford, 2004)Google Scholar
  31. 31.
    C.A. Regal, C. Ticknor, J.L. Bohn, D.S. Jin, Phys. Rev. Lett. 90, 053201 (2003)CrossRefGoogle Scholar
  32. 32.
    T.J. Greytak et al. , Physica B 280, 20 (2000)Google Scholar
  33. 33.
    S.J.J.M.F. Kokkelmans, B.J. Verhaar, Phys. Rev. A 56, 4038 (1997)CrossRefGoogle Scholar
  34. 34.
    A. Bambini, S. Geltman, Phys. Rev. A 65, 062704 (2002)CrossRefGoogle Scholar
  35. 35.
    For the purpose of making the spin structure clearer we have used, not the full analytic singlet and triplet potentials, but simple Lennard-Jones singlet and triplet potentials with the real well depths and bond energies as the parametersGoogle Scholar
  36. 36.
    E. Fermi, L. Marshall, Phys. Rev. 71, 666 (1947)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin/Heidelberg 2004

Authors and Affiliations

  • M. Bhattacharya
    • 1
    • 2
  • L. O. Baksmaty
    • 1
    • 2
  • S. B. Weiss
    • 1
    • 2
  • N. P. Bigelow
    • 1
    • 2
    • 3
  1. 1.Dept. of Physics and AstronomyUniversity of RochesterRochester, NYUSA
  2. 2.Laboratory for Laser EnergeticsUniversity of RochesterRochester, NYUSA
  3. 3.The Institute of OpticsUniversity of RochesterRochester, NYUSA

Personalised recommendations