Skip to main content
SpringerLink
Log in

Resonance fluorescence of a laser-cooled atom in a non-harmonic potential

  • Regular Article
  • Published:
The European Physical Journal D Aims and scope Submit manuscript

Abstract

We investigate a single laser driven atom trapped in a non-harmonic potential. We present the performance of ground-state laser cooling and Doppler cooling and the signatures of the center-of-mass motion in the power spectrum of the scattered light. In order to illustrate the results we provide two explicit examples for the confining potential: the infinite square well and the Morse potential.

Graphical abstract

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. R.H. Dicke, Phys. Rev. 89, 472 (1953)

    Article  ADS  Google Scholar 

  2. C.N. Cohen-Tannoudji, Rev. Mod. Phys. 70, 707 (1998)

    Article  ADS  Google Scholar 

  3. W.D. Phillips, Rev. Mod. Phys. 70, 721 (1998)

    Article  ADS  Google Scholar 

  4. S. Chu, Rev. Mod. Phys. 70, 685 (1998)

    Article  ADS  Google Scholar 

  5. H.J. Metcalf, P. van der Straten, Laser Cooling and Trapping (Springer, Berlin, 2001)

  6. D.J. Wineland, W.M. Itano, Phys. Rev. A 20, 1521 (1979)

    Article  ADS  Google Scholar 

  7. J. Dalibard, C. Cohen-Tannoudji, J. Phys. B 18, 1661 (1985)

    Article  ADS  MathSciNet  Google Scholar 

  8. J. Javanainen, S. Stenholm, Appl. Phys. 24, 151 (1981)

    Article  ADS  Google Scholar 

  9. M. Lindberg, J. Phys. B 17, 2129 (1984)

    Article  ADS  Google Scholar 

  10. C. Raab, J. Eschner, J. Bolle, H. Oberst, F. Schmidt-Kaler, R. Blatt, Phys. Rev. Lett. 85, 538 (2000)

    Article  ADS  Google Scholar 

  11. M. Lindberg, S. Stenholm, J. Phys. B 17, 3375 (1984)

    Article  ADS  Google Scholar 

  12. J.I. Cirac, R. Blatt, P. Zoller, W.D. Phillips, Phys. Rev. A 46, 2668 (1992)

    Article  ADS  Google Scholar 

  13. J.I. Cirac, R. Blatt, A.S. Parkins, P. Zoller, Phys. Rev. A 48, 2169 (1993)

    Article  ADS  Google Scholar 

  14. M. Lindberg, Phys. Rev. A 34, 3178 (1986)

    Article  ADS  Google Scholar 

  15. M. Bienert, W. Merkel, G. Morigi, Phys. Rev. A 69, 013405 (2004)

    Article  ADS  Google Scholar 

  16. M. Gatzke, G. Birkl, P.S. Jessen, A. Kastberg, S.L. Rolston, W.D. Phillips, Phys. Rev. A 55, R3987 (1997)

    Article  ADS  Google Scholar 

  17. S.E. Hamann, D.L. Haycock, G. Klose, P.H. Pax, I.H. Deutsch, P.S. Jessen, Phys. Rev. Lett. 80, 4149 (1998)

    Article  ADS  Google Scholar 

  18. I. Bloch, J. Dalibard, W. Zwerger, Rev. Mod. Phys. 80, 885 (2008)

    Article  ADS  Google Scholar 

  19. P. Horak, G. Hechenblaikner, K.M. Gheri, H. Stecher, H. Ritsch, Phys. Rev. Lett. 79, 4974 (1997)

    Article  ADS  Google Scholar 

  20. P. Pinkse, T. Fischer, P. Maunz, G. Rempe, Nature 404, 365 (2000)

    Article  ADS  Google Scholar 

  21. P. Maunz, T. Puppe, I. Schuster, N. Syassen, P.W. Pinkse, G. Rempe, Nature 428, 50 (2004)

    Article  ADS  Google Scholar 

  22. H. Ritsch, P. Domokos, F. Brennecke, T. Esslinger, Rev. Mod. Phys. 85, 553 (2013)

    Article  ADS  Google Scholar 

  23. P.M. Morse, E.C.G. Stueckelberg, Phys. Rev. 33, 932 (1929)

    Article  ADS  Google Scholar 

  24. P.M. Morse, Phys. Rev. 34, 57 (1929)

    Article  ADS  Google Scholar 

  25. G. Morigi, P.W.H. Pinkse, M. Kowalewski, R. de Vivie-Riedle, Phys. Rev. Lett. 99, 073001 (2007)

    Article  ADS  Google Scholar 

  26. J.H.V. Nguyen, C.R. Viteri, E.G. Hohenstein, C.D. Sherrill, K.R. Brown, B. Odom, New J. Phys. 13, 063023 (2011)

    Article  ADS  Google Scholar 

  27. A.K. Roy, Results Phys. 3, 103 (2013)

    Article  ADS  Google Scholar 

  28. S. Stenholm, Rev. Mod. Phys. 58, 699 (1986)

    Article  ADS  Google Scholar 

  29. H.J. Briegel, B.G. Englert, Phys. Rev. A 47, 3311 (1993)

    Article  ADS  Google Scholar 

  30. S.M. Barnett, S. Stenholm, J. Mod. Opt. 47, 2869 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  31. M. Bienert, J.M. Torres, S. Zippilli, G. Morigi, Phys. Rev. A 76, 013410 (2007)

    Article  ADS  Google Scholar 

  32. J.M. Torres, M. Bienert, S. Zippilli, G. Morigi, Eur. Phys. J. D 61, 21 (2011)

    Article  ADS  Google Scholar 

  33. M. Jakob, S. Stenholm, Phys. Rev. A 67, 032111 (2003)

    Article  ADS  Google Scholar 

  34. M. Lax, Phys. Rev. 129, 2342 (1963)

    Article  ADS  MathSciNet  Google Scholar 

  35. H.J. Carmichael, Statistical Methods in Quantum Optics 1 (Springer, Berlin, 2002)

  36. M. Bienert, W. Merkel, G. Morigi, Phys. Rev. A 73, 033402 (2006)

    Article  ADS  Google Scholar 

  37. B.R. Mollow, Phys. Rev. 188, 1969 (1969)

    Article  ADS  Google Scholar 

  38. G. Morigi, Phys. Rev. A 67, 033402 (2003)

    Article  ADS  Google Scholar 

  39. J. Javanainen, M. Lindberg, S. Stenholm, J. Opt. Soc. Am. B 1, 111 (1984)

    Article  ADS  Google Scholar 

  40. C. Gardiner, P. Zoller, Quantum Noise (Springer, Berlin, 2004)

  41. I. Manai, R. Horchani, M. Hamamda, A. Fioretti, M. Allegrini, H. Lignier, P. Pillet, D. Comparat, Mol. Phys. 111, 1844 (2013)

    Article  ADS  Google Scholar 

  42. M. Hamamda, P. Pillet, H. Lignier, D. Comparat, J. Phys. B 48, 182001 (2015)

    Article  ADS  Google Scholar 

  43. C.L. Pekeris, Phys. Rev. 45, 98 (1934)

    Article  ADS  Google Scholar 

  44. J.P. Dahl, M. Springborg, J. Chem. Phys 88, 4535 (1988)

    Article  ADS  MathSciNet  Google Scholar 

  45. K. Scholz, Z. Phys. 78, 751 (1932)

    Article  ADS  Google Scholar 

  46. J.A.C. Gallas, Phys. Rev. A 21, 1829 (1980)

    Article  ADS  Google Scholar 

  47. L. Sandoval, A. Palma, Int. J. Quant. Chem. 38, 481 (1990)

    Article  Google Scholar 

  48. M. Abramowitz, I. Stegun, Handbook of Mathematical Functions (Dover Publications, New York, 1965)

Download references

Author information

Authors and Affiliations

  1. Theoretische Physik, Universität des Saarlandes, 66123, Saarbrücken, Germany

    Ralf Betzholz & Marc Bienert

  2. Hohenzollern Gymnasium, 72488, Sigmaringen, Germany

    Marc Bienert

Authors
  1. Ralf Betzholz
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Marc Bienert
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ralf Betzholz.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Betzholz, R., Bienert, M. Resonance fluorescence of a laser-cooled atom in a non-harmonic potential. Eur. Phys. J. D 70, 215 (2016). https://doi.org/10.1140/epjd/e2016-70336-9

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjd/e2016-70336-9

Keywords

Search

Navigation