Advertisement

The European Physical Journal D

, Volume 65, Issue 1–2, pp 113–123 | Cite as

Cold atom-molecule photoassociation: long-range interactions beyond the 1/Rn expansion

  • M. LepersEmail author
  • O. Dulieu
Regular Article Cold and ultracold molecules

Abstract

We investigate theoretically the combination of first-order quadrupole-quadrupole and second-order dipole-dipole effects on the long-range electrostatic interactions between a ground-state homonuclear alkali-metal dimer and an excited alkali-metal atom. As the electrostatic energy is comparable to the dimer rotational structure, we develop a general description of the long-range interactions in the framework of the second-order degenerate perturbation theory, which allows for couplings between the dimer rotational levels. The resulting adiabatic potential energy curves exhibit avoided crossings, and cannot be expanded as the usual 1/Rn series. We study in details the particular case Cs2+Cs(62P). Our results are found promising to achieve photoassociation of ultracold trimers.

Keywords

Potential Energy Curve Entrance Channel Electrostatic Energy Rotational Level Dissociation Limit 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    O. Dulieu, C. Gabbanini, Rep. Prog. Phys. 72, 086401 (2009)ADSCrossRefGoogle Scholar
  2. 2.
    L.D. Carr, J. Ye, New J. Phys. 11, 055009 (2009)ADSCrossRefGoogle Scholar
  3. 3.
    N.R. Claussen, S.J.J.M.F. Kokkelmans, S.T. Thompson, E.A. Donley, E. Hodby, C.E. Wieman, Phys. Rev. A 67, 070601 (2003)CrossRefGoogle Scholar
  4. 4.
    M. Kemmann, I. Mistrik, S. Nussmann, H. Helm, C.J. Williams, P.S. Julienne, Phys. Rev. A 69, 022715 (2004)ADSCrossRefGoogle Scholar
  5. 5.
    N. Vanhaecke, C. Lisdat, B. T’Jampens, D. Comparat, A. Crubellier, P. Pillet, Eur. Phys. J. D 28, 351 (2004)ADSCrossRefGoogle Scholar
  6. 6.
    D. Wang et al., Eur. Phys. J. D 31, 165 (2004)ADSCrossRefGoogle Scholar
  7. 7.
    H.M.J.M. Boesten, C.C. Tsai, J.R. Gardner, D.J. Heinzen, B.J. Verhaar, Phys. Rev. A 55, 636 (1997)ADSCrossRefGoogle Scholar
  8. 8.
    F. Lang, P. van der Straten, B. Brandstätter, G. Thalhammer, K. Winkler, P.S. Julienne, R. Grimm, J.H. Denschlag, Nature Physics 4, 223 (2008)ADSCrossRefGoogle Scholar
  9. 9.
    C. Chin, R. Grimm, P. Julienne, E. Tiesinga, Rev. Mod. Phys. 82, 1225 (2010)ADSCrossRefGoogle Scholar
  10. 10.
    D.J. Heinzen, R. Wynar, P.D. Drummond, K.V. Kheruntsyan, Phys. Rev. Lett. 84, 5029 (2000)ADSCrossRefGoogle Scholar
  11. 11.
    E.A. Donley, N.R. Claussen, S.T. Thompson, C.E. Wieman, Nature 417, 529 (2002)ADSCrossRefGoogle Scholar
  12. 12.
    M. Greiner, C.A. Regal, D.S. Jin, Nature 426, 537 (2003)ADSCrossRefGoogle Scholar
  13. 13.
    S. Jochim, M. Bartenstein, A. Altmeyer, G. Hendl, C. Chin, J.H. Denschlag, R. Grimm, Phys. Rev. Lett. 91, 240402 (2003)ADSCrossRefGoogle Scholar
  14. 14.
    M.W. Zwierlein, C.A. Stan, C.H. Schunck, S.M.F. Raupach, S. Gupta, Z. Hadzibabic, W. Ketterle, Phys. Rev. Lett. 91, 250401 (2003)ADSCrossRefGoogle Scholar
  15. 15.
    M. Bartenstein, A. Altmeyer, S. Riedl, S. Jochim, C. Chin, J.H. Denschlag, R. Grimm, Phys. Rev. Lett. 92, 120401 (2004)ADSCrossRefGoogle Scholar
  16. 16.
    T. Bourdel, L. Khaykovich, J. Cubizolles, J. Zhang, F. Chevy, M. Teichmann, L. Tarruell, S.J.J.M.F. Kokkelmans, C. Salomon, Phys. Rev. Lett. 93, 050401 (2004)ADSCrossRefGoogle Scholar
  17. 17.
    C. Chin, M. Bartenstein, A. Altmeyer, S. Riedl, S. Jochim, J.H. Denschlag, R. Grimm, Science 305, 1128 (2004)ADSCrossRefGoogle Scholar
  18. 18.
    E. Braaten, H.W. Hammer, Phys. Rep. 428, 259 (2006)ADSMathSciNetCrossRefGoogle Scholar
  19. 19.
    T. Kraemer et al., Nature 440, 315 (2006)ADSCrossRefGoogle Scholar
  20. 20.
    F. Ferlaino, S. Knoop, M. Mark, M. Berninger, H. Schöbel, H.C. Nägerl, R. Grimm, Phys. Rev. Lett. 101, 023201 (2008)ADSCrossRefGoogle Scholar
  21. 21.
    D. DeMille, F. Bay, S. Bickman, D. Kawall, D. Krause, Jr., S.E. Maxwell, L.R. Hunter, Phys. Rev. A 61, 052507 (2000)ADSCrossRefGoogle Scholar
  22. 22.
    J.J. Hudson, B.E. Sauer, M.R. Tarbutt, E.A. Hinds, Phys. Rev. Lett. 89, 023003 (2002)ADSCrossRefGoogle Scholar
  23. 23.
    S. Schiller, V. Korobov, Phys. Rev. A 71, 032505 (2005)ADSCrossRefGoogle Scholar
  24. 24.
    C. Chin, V.V. Flambaum, Phys. Rev. Lett. 96, 230801 (2006)ADSCrossRefGoogle Scholar
  25. 25.
    D. DeMille, Phys. Rev. Lett. 88, 067901 (2002)ADSCrossRefGoogle Scholar
  26. 26.
    S.F. Yelin, K. Kirby, R. Côté, Phys. Rev. A 74, 050301 (2006)ADSCrossRefGoogle Scholar
  27. 27.
    E. Charron, P. Milman, A. Keller, O. Atabek, Phys. Rev. A 75, 033414 (2007)ADSCrossRefGoogle Scholar
  28. 28.
    M. Elioff, J. Valentini, D. Chandler, Science 302, 1940 (2003)ADSCrossRefGoogle Scholar
  29. 29.
    N. Zahzam, T. Vogt, M. Mudrich, D. Comparat, P. Pillet, Phys. Rev. Lett. 96, 023202 (2006)ADSCrossRefGoogle Scholar
  30. 30.
    P. Staanum, S.D. Kraft, J. Lange, R. Wester, M. Weidemüller, Phys. Rev. Lett. 96, 023201 (2006)ADSCrossRefGoogle Scholar
  31. 31.
    E.R. Hudson, N.B. Gilfoy, S. Kotochigova, J.M. Sage, D. DeMille, Phys. Rev. Lett. 100, 203201 (2008)ADSCrossRefGoogle Scholar
  32. 32.
    J.T.M.W.J. Levinsen, T.G. Tiecke, D.S. Petrov, Phys. Rev. Lett. 103, 153202 (2009)ADSCrossRefGoogle Scholar
  33. 33.
    S. Knoop, F. Ferlaino, M. Berninger, M. Mark, H.C. Nägerl, R. Grimm, J.P. D’incao, B.D. Esry, Phys. Rev. Lett. 104, 053201 (2010)ADSCrossRefGoogle Scholar
  34. 34.
    S. Ospelkaus, K.K. Ni, D. Wang, M.H.G. de Miranda, B. Neyenhuis, G. Quéméner, P.S. Julienne, J. Bohn, D.S. Jin, J. Ye, Science 327, 853 (2010)ADSCrossRefGoogle Scholar
  35. 35.
    M. Kirste, L. Scharfenberg, J. Kłos, F. Lique, M.H. Alexander, G.M.S.Y.T. van de Meerakker, Phys. Rev. A 82, 042717 (2010)ADSCrossRefGoogle Scholar
  36. 36.
    P.R. Fontana, Phys. Rev. 123, 1865 (1961)ADSMathSciNetCrossRefGoogle Scholar
  37. 37.
    P.R. Fontana, Phys. Rev. 123, 1871 (1961)ADSMathSciNetCrossRefGoogle Scholar
  38. 38.
    P.R. Fontana, Phys. Rev. 125, 1597 (1962)ADSMathSciNetCrossRefGoogle Scholar
  39. 39.
    B. Bussery, Y. Achkar, M. Aubert-Frécon, Chem. Phys. 116, 319 (1987)CrossRefGoogle Scholar
  40. 40.
    M. Marinescu, A. Dalgarno, Phys. Rev. A 52, 311 (1995)ADSCrossRefGoogle Scholar
  41. 41.
    M. Marinescu, L. You, Phys. Rev. A 59, 1936 (1999)ADSCrossRefGoogle Scholar
  42. 42.
    A. Derevianko, J.F. Babb, A. Dalgarno, Phys. Rev. A 63, 052704 (2001)ADSCrossRefGoogle Scholar
  43. 43.
    S.G. Porsev, A. Derevianko, J. Chem. Phys. 119, 844 (2003)ADSCrossRefGoogle Scholar
  44. 44.
    J. Mitroy, M.W.J. Bromley, Phys. Rev. A 68, 052714 (2003)ADSCrossRefGoogle Scholar
  45. 45.
    S.G. Porsev, A. Derevianko, Phys. Rev. A 65, 020701 (2002)ADSCrossRefGoogle Scholar
  46. 46.
    A. Derevianko, W.R. Johnson, H.R. Sadeghpour, Phys. Rev. A 61, 022506 (2000)ADSCrossRefGoogle Scholar
  47. 47.
    M. Rérat, B. Bussery, M. Frécon, J. Mol. Spectrosc. 182, 260 (1997)ADSCrossRefGoogle Scholar
  48. 48.
    G.C. Gronenboom, X. Chu, R.V. Krems, J. Chem. Phys. 126, 204306 (2007)ADSCrossRefGoogle Scholar
  49. 49.
    M. Lepers, O. Dulieu, V. Kokoouline, Phys. Rev. A 82, 042711 (2010)ADSCrossRefGoogle Scholar
  50. 50.
    M. Lepers, R. Vexiau, N. Bouloufa, O. Dulieu, V. Kokoouline, Phys. Rev. A 83, 042707 (2011)ADSCrossRefGoogle Scholar
  51. 51.
    C. Haimberger, J. Kleinert, M. Bhattacharya, N. Bigelow, Phys. Rev. A 70, 21402 (2004)ADSCrossRefGoogle Scholar
  52. 52.
    J.M. Sage, S. Sainis, T. Bergeman, D. DeMille, Phys. Rev. Lett. 94, 203001 (2005)ADSCrossRefGoogle Scholar
  53. 53.
    H.K. Pechkis, D. Wang, Y. Huang, E.E. Eyler, P.L. Gould, W.C. Stwalley, C.P. Koch, Phys. Rev. A 76, 022504 (2007)ADSCrossRefGoogle Scholar
  54. 54.
    M. Viteau, A. Chotia, M. Allegrini, N. Bouloufa, O. Dulieu, D. Comparat, P. Pillet, Science 321, 232 (2008)ADSCrossRefGoogle Scholar
  55. 55.
    J. Deiglmayr, M. Aymar, R. Wester, M. Weidemüller, O. Dulieu, J. Chem. Phys. 129, 064309 (2008)ADSCrossRefGoogle Scholar
  56. 56.
    J.G. Danzl, E. Haller, M. Gustavsson, M.J. Mark, R. Hart, N. Bouloufa, O. Dulieu, H. Ritsch, H.C. Nägerl, Science 321, 1062 (2008)ADSCrossRefGoogle Scholar
  57. 57.
    K.K. Ni, S. Ospelkaus, M.H.G. de Miranda, A. Peer, B. Neyenhuis, J.J. Zirbel, S. Kotochigova, P.S. Julienne, D.S. Jin, J. Ye, Science 322, 231 (2008)ADSCrossRefGoogle Scholar
  58. 58.
    F. Lang, K. Winkler, C. Strauss, R. Grimm, J.H. Denschlag, Phys. Rev. Lett. 101, 133005 (2008)ADSCrossRefGoogle Scholar
  59. 59.
    K.M. Jones, E. Tiesinga, P.D. Lett, P.S. Julienne, Rev. Mod. Phys. 78, 483 (2006)ADSCrossRefGoogle Scholar
  60. 60.
    M. Rérat, B. Bussery-Honvault, Mol. Phys. 101, 373 (2003)ADSCrossRefGoogle Scholar
  61. 61.
    M. Mérawa, M. Rérat, B. Bussery-Honvault, J. Mol. Struct. 633, 137 (2003)CrossRefGoogle Scholar
  62. 62.
    B. Bussery-Honvault, F. Dayou, A. Zanchet, J. Chem. Phys. 129, 234302 (2008)ADSCrossRefGoogle Scholar
  63. 63.
    B. Bussery-Honvault, F. Dayou, J. Phys. Chem. A 113, 14961 (2009)CrossRefGoogle Scholar
  64. 64.
    C. Berteloite et al., Phys. Rev. Lett. 105, 203201 (2010)ADSCrossRefGoogle Scholar
  65. 65.
    S. Kotochigova, New J. Phys. 12, 073041 (2010)ADSCrossRefGoogle Scholar
  66. 66.
    M.L. Dubernet, J.M. Hutson, J. Chem. Phys. 101, 1939 (1994)ADSCrossRefGoogle Scholar
  67. 67.
    C. Amiot, O. Dulieu, J. Chem. Phys. 117, 5155 (2002)ADSCrossRefGoogle Scholar
  68. 68.
    R.J. Le Roy, Can. J. Phys. 52, 246 (1974)ADSCrossRefGoogle Scholar
  69. 69.
    D.A. Varshalovich, A.N. Moskalev, V.K. Khersonskii, Quantum theory of angular momentum (Leningrad, 1988)Google Scholar
  70. 70.
    A.V. Avdeenkov, J.L. Bohn, Phys. Rev. A 66, 052718 (2002)ADSCrossRefGoogle Scholar
  71. 71.
    A.V. Avdeenkov, J.L. Bohn, Phys. Rev. Lett. 90, 043006 (2003)ADSCrossRefGoogle Scholar
  72. 72.
    A.V. Avdeenkov, D.C.E. Bortolotti, J.L. Bohn, Phys. Rev. A 74, 012709 (2006)ADSCrossRefGoogle Scholar
  73. 73.
    A. Fioretti, D. Comparat, A. Crubellier, O. Dulieu, F. Masnou-Seeuws, P. Pillet, Phys. Rev. Lett. 80, 4402 (1998)ADSCrossRefGoogle Scholar
  74. 74.
    M. Viteau, A. Chotia, M. Allegrini, N. Bouloufa, O. Dulieu, D. Comparat, P. Pillet, Phys. Rev. A 79, 021402 (2009)ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Laboratoire Aimé Cotton, CNRS, Bât. 505Univ. Paris-SudOrsay CedexFrance

Personalised recommendations