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Measurement of the Wigner function of an ensemble of helium atoms

Abstract

Beams of atoms can exhibit interference and diffraction phenomena just like waves of light. For a coherent beam of helium atoms in a double-slit experiment, measurements of the quantum-mechanical analogue of the classical phase-space distribution function show that the motion of atoms behaves in a strongly non-classical manner.

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References

  1. Adams, C. S., Sigel, M. & Mlynek, J. Phys. Rep. 240, 143–210 (1994).

    Article  ADS  CAS  Google Scholar 

  2. Carnal, O. & Mlynek, J. Phys. Rev. Lett. 66, 2689–2692 (1991).

    Article  ADS  CAS  Google Scholar 

  3. Keith, D. W., Ekstrom, C. R., Turchette, Q. A. & Pritchard, D. E. Phys. Rev. Lett. 66, 2693–2696 (1991).

    Article  ADS  CAS  Google Scholar 

  4. Berman, P. (ed.) Atom Interferometry (Academic, San Diego, 1997).

  5. Wigner, E. Phys. Rev. 40, 749–759 (1932).

    Article  ADS  CAS  Google Scholar 

  6. Royer, A. Foundat. Phys. 19, 3–32 (1989).

    Article  ADS  Google Scholar 

  7. Hillery, M., O'Conell, R. F., Scully, M. O. & Wigner, E. P. Phys. Rep. 106, 121–167 (1984).

    Article  ADS  MathSciNet  Google Scholar 

  8. Bertrand, J. & Bertrand, P. Foundat. Phys. 17, 397–405 (1987).

    Article  ADS  Google Scholar 

  9. Vogel, K. & Risken, H. Phys. Rev. A 40, 2847–2849 (1989).

    Article  ADS  CAS  Google Scholar 

  10. D'Ariano, G. M., Macciavello, C. & Paris, M. G. A. Phys. Rev. A 50, 4298–4302 (1994).

    Article  ADS  CAS  Google Scholar 

  11. Tan, S. M. J. Mod. Opt. (submitted).

  12. Busžek, V., Adam, G. & Drobný, G. Ann. Phys. (NY) 254, 37–97 (1996).

    Article  ADS  Google Scholar 

  13. Smithey, D. T., Beck, M., Raymer, M. G. & Faridani, A. Phys. Rev. Lett. 70, 1244–1247 (1993).

    Article  ADS  CAS  Google Scholar 

  14. Breitenbach, G. et al J. Opt. Soc. Am. B 12, 2304–2309 (1995).

    Article  ADS  CAS  Google Scholar 

  15. Dunn, T. J., Walmsley, I. A. & Mukamel, S. Phys. Rev. Lett. 74, 884–887 (1995).

    Article  ADS  CAS  Google Scholar 

  16. Monroe, C., Meekhof, D. M., King, B. E. & Wineland, D. J. Science 272, 1131–1135 (1996).

    Article  ADS  MathSciNet  CAS  Google Scholar 

  17. Leibfried, D., King, B. E., Monroe, C., Itano, M. & Wineland, D. J. Phys. Rev. Lett. 77, 4281–4285 (1996).

    Article  ADS  CAS  Google Scholar 

  18. Janicke, U. & Wilkens, M. J. Mod. Opt. 42, 2183–2199 (1995).

    Article  ADS  CAS  Google Scholar 

  19. Raymer, M. G., Beck, M. & McAlister, D. F. Phys. Rev. Lett. 72, 1137–1140 (1994).

    Article  ADS  MathSciNet  CAS  Google Scholar 

  20. Lohmann, A. W. J. Opt. Soc. Am. A 10, 2181–2186 (1993).

    Article  ADS  Google Scholar 

  21. Kienle, S. H., Freyberger, M., Schleich, W. P. & Raymer, M. G. in Experimental Metaphysics: Quantum Mechanical Studies for Abner Shimony (eds Cohen, R. S., Horne, M. A. & Stachel, J.) 121–133 (Kluwer, Dordrecht, 1997).

    MATH  Google Scholar 

  22. Richter, Th. & Wünsche, A. Phys. Rev. A 53, 1974–1977 (1996).

    Article  ADS  Google Scholar 

  23. Leonhard, U. & Raymer, M. G. Phys. Rev. Lett. 76, 1985–1989 (1996).

    Article  ADS  MathSciNet  Google Scholar 

  24. Kurtsiefer, Ch. & Mlynek, J. Appl. Phys. B 64, 85–90 (1996).

    Article  ADS  Google Scholar 

  25. Hotop, H. in Methods of Experimental Physics Vol. 29B (eds Dunning, F. B. & Hulet, R. G.) 191–215 (Academic, San Diego, 1995).

    Google Scholar 

  26. Pfau, T., Kurtsiefer, Ch. & Mlynek, J. Quant. Semiclass. Opt. 8, 665–671 (1996).

    Article  ADS  CAS  Google Scholar 

  27. Kurtsiefer, Ch. et al Phys. Rev. A (submitted).

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Kurtsiefer, C., Pfau, T. & Mlynek, J. Measurement of the Wigner function of an ensemble of helium atoms. Nature 386, 150–153 (1997). https://doi.org/10.1038/386150a0

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