Applied Physics B

, Volume 89, Issue 4, pp 459–467 | Cite as

Cavity cooling of translational and ro-vibrational motion of molecules: ab initio-based simulations for OH and NO

  • M. Kowalewski
  • G. Morigi
  • P.W.H. Pinkse
  • R. de Vivie-Riedle
Article

Abstract

We present detailed calculations on the basis of our recent proposal for simultaneous cooling of the rotational, vibrational and external molecular degrees of freedom [1]. In this method, the molecular ro-vibronic states are coupled by an intense laser and an optical cavity via coherent Raman processes enhanced by the strong coupling with the cavity modes. For a prototype system, OH, we showed that the translational motion is cooled to a few μK and the molecule is brought to the internal ground state in about a second. Here, we investigate numerically the dependence of the cooling scheme on the molecular polarizability, selecting NO as a second example. Furthermore, we demonstrate the general applicability of the proposed cooling scheme to initially vibrationally and rotationally hot molecular systems.

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References

  1. 1.
    G. Morigi, P.W.H. Pinkse, M. Kowalewski, R. de Vivie-Riedle, Phys. Rev. Lett. 99, 073001 (2007)CrossRefADSGoogle Scholar
  2. 2.
    see J. Doyle, B. Friedrich, R.V. Krems, F. Masnou-Seeuws, Eur. Phys. J. D 31, 149 (2004), and references thereinCrossRefADSGoogle Scholar
  3. 3.
    R.V. Krems, Int. Rev. Phys. Chem. 24, 99 (2005)CrossRefGoogle Scholar
  4. 4.
    C. Daussy, T. Marrel, A. Amy-Klein, C.T. Nguyen, C.J. Bordé, C. Chardonnet, Phys. Rev. Lett. 83, 1554 (1999)CrossRefADSGoogle Scholar
  5. 5.
    M.R. Tarbutt, H.L. Bethlem, J.J. Hudson, V.L. Ryabov, V.A. Ryzhov, B.E. Sauer, G. Meijer, E.A. Hinds, Phys. Rev. Lett. 92, 173002 (2004)CrossRefADSGoogle Scholar
  6. 6.
    D. DeMille, Phys. Rev. Lett. 88, 067901 (2002)CrossRefADSGoogle Scholar
  7. 7.
    C.M. Tesch, R. de Vivie-Riedle, Phys. Rev. Lett. 89, 157901 (2002)CrossRefADSGoogle Scholar
  8. 8.
    A. André, D. DeMille, J.M. Doyle, M.D. Lukin, S.E. Maxwell, P. Rabl, R.J. Schoelkopf, P. Zoller, Nature Phys. 9, 636 (2006)CrossRefADSGoogle Scholar
  9. 9.
    D. Kleppner, Phys. Today 57, 12 (2004), and references thereinCrossRefGoogle Scholar
  10. 10.
    J.D. Weinstein, R. deCarvalho, T. Guillet, B. Friedrich, J.M. Doyle, Nature (London) 395, 148 (1998)CrossRefADSGoogle Scholar
  11. 11.
    H.L. Bethlem, G. Berden, G. Meijer, Phys. Rev. Lett. 83, 1558 (1999)CrossRefADSGoogle Scholar
  12. 12.
    R. Fulton, A.I. Bishop, M.N. Shneider, P.F. Barker, Nature Phys. 2, 465 (2006)CrossRefADSGoogle Scholar
  13. 13.
    S.A. Rangwala, T. Junglen, T. Rieger, P.W.H. Pinkse, G. Rempe, Phys. Rev. A 67, 043406 (2003)CrossRefADSGoogle Scholar
  14. 14.
    M.S. Elioff, J.J. Valentini, D.W. Chandler, Science 302, 1940 (2003)CrossRefADSGoogle Scholar
  15. 15.
    N.-N. Liu, H.-J. Loesch, Phys. Rev. Lett. 98, 103002 (2007)CrossRefADSGoogle Scholar
  16. 16.
    C. Cohen-Tannoudji, Rev. Mod. Phys. 70, 707 (1998)CrossRefADSGoogle Scholar
  17. 17.
    S. Chu, Rev. Mod. Phys. 70, 685 (1998)CrossRefADSGoogle Scholar
  18. 18.
    W.D. Phillips, Rev. Mod. Phys. 70, 721 (1998)CrossRefADSGoogle Scholar
  19. 19.
    M. Drewsen, A. Mortensen, R. Martinussen, P. Staanum, J.L. Sørensen, Phys. Rev. Lett. 93, 243201 (2004)CrossRefADSGoogle Scholar
  20. 20.
    P. Blythe, B. Roth, U. Fröhlich, H. Wenz, S. Schiller, Phys. Rev. Lett. 95, 183002 (2005)CrossRefADSGoogle Scholar
  21. 21.
    J.T. Bahns, W.C. Stwalley, P.L. Gould, J. Chem. Phys. 104, 9689 (1996)CrossRefADSGoogle Scholar
  22. 22.
    I.S. Vogelius, L.B. Madsen, M. Drewsen, Phys. Rev. A 70, 053412 (2004)CrossRefADSGoogle Scholar
  23. 23.
    D.J. Tannor, A. Bartana, J. Phys. Chem. 103, 10359 (1999)Google Scholar
  24. 24.
    P.W. Brumer, M. Shapiro, Principles of Quantum Control of Molecular Processes (Wiley VCH, New York, 2003)Google Scholar
  25. 25.
    P. Horak, G. Hechenblaikner, K.M. Gheri, H. Stecher, H. Ritsch, Phys. Rev. Lett. 79, 4974 (1997)CrossRefADSGoogle Scholar
  26. 26.
    V. Vuletić, S. Chu, Phys. Rev. Lett. 84, 3787 (2000)CrossRefADSGoogle Scholar
  27. 27.
    B.L. Lev, A. Vukics, E.R. Hudson, B.C. Sawyer, P. Domokos, H. Ritsch, J. Ye, arXiv:0705.3639v1 (2007)Google Scholar
  28. 28.
    W. Lu, Y. Zhao, P.F. Barker, Phys. Rev. A 76, 013417 (2007)CrossRefADSGoogle Scholar
  29. 29.
    P. Maunz, T. Puppe, I. Schuster, N. Syassen, P.W.H. Pinkse, G. Rempe, Nature (London) 428, 50 (2004)CrossRefADSGoogle Scholar
  30. 30.
    S. Nußmann, K. Murr, M. Hijlkema, B. Weber, A. Kuhn, G. Rempe, Nature Phys. 1, 122 (2005)CrossRefADSGoogle Scholar
  31. 31.
    H.W. Chan, A.T. Black, V. Vuletić, Phys. Rev. Lett. 90, 063003 (2003)CrossRefADSGoogle Scholar
  32. 32.
    P. Domokos, H. Ritsch, J. Opt. Soc. Am. B 20, 1098 (2003)CrossRefADSGoogle Scholar
  33. 33.
    S. Stenholm, Rev. Mod. Phys. 58, 699 (1986)CrossRefADSGoogle Scholar
  34. 34.
    S.Y.T. van de Meerakker, P.H.M. Smeets, N. Vanhaecke, R.T. Jongma, G. Meijer, Phys. Rev. Lett. 94, 023004 (2005)CrossRefADSGoogle Scholar
  35. 35.
    J.R. Bochinski, E.R. Hudson, H.J. Lewandowski, J. Ye, Phys. Rev. A 70, 043410 (2004)CrossRefADSGoogle Scholar
  36. 36.
    R. Fulton, A.I. Bishop, M.N. Shneider, P.F. Barker, Nature Phys. 2, 465 (2006)CrossRefADSGoogle Scholar
  37. 37.
    K.P. Huber, G. Herzberg, Molecular Spectra and Molecular Structure – IV. Constants of Diatomic Molecules (van Nostrand Reinhold, New York, 1977)Google Scholar
  38. 38.
    M.S. Fee, A.P. Mills Jr., S. Chu, E.D. Shaw, K. Danzmannm, R.J. Chichester, D.M. Zuckerman, Phys. Rev. Lett. 70, 1397 (1993)CrossRefADSGoogle Scholar
  39. 39.
    J.A. Barnes, T.E. Gough, M. Stoer, Rev. Sci. Instrum. 70, 3515 (1999)CrossRefADSGoogle Scholar
  40. 40.
    G. Placzek, E. Teller, Z. Phys. 81, 209 (1933)MATHCrossRefADSGoogle Scholar
  41. 41.
    R. Gaufres, S. Sportouch, J. Mol. Spectrosc. 39, 527 (1971)CrossRefADSGoogle Scholar
  42. 42.
    MOLPRO, version 2006.1, a package of ab initio programs, H.-J. Werner, P.J. Knowles, R. Lindh, F.R. Manby, M. Schütz, P. Celani, T. Korona, G. Rauhut, R.D. Amos, A. Bernhardsson, A. Berning, D.L. Cooper, M.J.O. Deegan, A.J. Dobbyn, F. Eckert, C. Hampel, G. Hetzer, A.W. Lloyd, S.J. McNicholas, W. Meyer, M.E. Mura, A. Nicklass, P. Palmieri, R. Pitzer, U. Schumann, H. Stoll, A.J. Stone, R. Tarroni, T. Thorsteinsson, see http://www.molpro.netGoogle Scholar
  43. 43.
    T.H. Dunning Jr., J. Chem. Phys. 90, 1007 (1989)CrossRefADSGoogle Scholar
  44. 44.
    J. Olsen, P. Jørgensen, J. Chem. Phys. 82, 3235 (1985)CrossRefADSGoogle Scholar
  45. 45.
    P. Jørgensen, H.J.Aa. Jensen, J. Olsen, J. Chem. Phys. 89, 3654 (1988)Google Scholar
  46. 46.
    DALTON, a molecular electronic structure program, Release 2.0 (2005), see http://www.kjemi.uio.no/software/dalton/dalton.htmlGoogle Scholar
  47. 47.
    W.L. Meerts, A. Dymanus, Chem. Phys. Lett. 23, 45 (1973)CrossRefADSGoogle Scholar
  48. 48.
    J.E. Rice, R.D. Amos, S.M. Colwell, N.C. Handy, J. Sanz, J. Chem. Phys. 93, 8828 (1990)CrossRefADSGoogle Scholar
  49. 49.
    D.E. Woon, T.H. Dunning, J. Chem. Phys. 98, 1358 (1993)CrossRefADSGoogle Scholar
  50. 50.
    W.J. Hehre, R. Ditchfield, J.A. Pople, J. Chem. Phys. 56, 2257 (1972)CrossRefADSGoogle Scholar
  51. 51.
    B.W. Shore, The Theory of Coherent Atomic Excitation, vol. 2 (Wiley-Interscience, New York, 1990)Google Scholar
  52. 52.
    K. Sundermann, R. de Vivie-Riedle, J. Chem. Phys. 110, 1896 (1999)CrossRefADSGoogle Scholar
  53. 53.
    H.L. Bethlem, G. Berden, F.M.H. Crompvoets, R.T. Jongma, A.J.A. van Roij, G. Meijer, Nature (London) 406, 491 (2000)CrossRefADSGoogle Scholar
  54. 54.
    T. Rieger, T. Junglen, S.A. Rangwala, P.W.H. Pinkse, G. Rempe, Phys. Rev. Lett. 95, 173002 (2005)CrossRefADSGoogle Scholar
  55. 55.
    D. DeMille, D.R. Glenn, J. Petricka, Eur. Phys. J. D 31, 375 (2004)CrossRefADSGoogle Scholar
  56. 56.
    D.E. Goldberg, Genetic Algorithms in Search, Optimization, and Machine Learning (Addison-Wesley, Reading, MA, 1997)Google Scholar

Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  • M. Kowalewski
    • 1
  • G. Morigi
    • 2
  • P.W.H. Pinkse
    • 3
  • R. de Vivie-Riedle
    • 1
  1. 1.Department of ChemistryLudwig-Maximilian-Universität MünchenMünchenGermany
  2. 2.Departament de FisicaUniversitat Autonoma de BarcelonaBellaterra (Barcelona)Spain
  3. 3.Max-Planck-Institut für QuantenoptikGarchingGermany

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