Deviations from classical optics in matter diffraction and determination of the size of weakly bound molecules

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 61, Issue 2, 2000, Pages 236061-2360610

  Hegerfeldt, Gerhard C ^a   Köhler, Thorsten ^b  

^a UNIVERSITY OF GÖTTINGEN   (Germany)

^b MAX PLANCK INSTITUTE FOR DYNAMICS AND SELF ORGANIZATION   (Germany)

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EID: 0345847540     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (24)

1. The first observation of atom diffraction from transmission gratings and double slits has been reported by D.W. Keith, M.L. Schattenburg, H.I. Smith, and D.E. Pritchard, Phys. Rev. Lett. 61, 1580 (1988); and O. Carnal and J. Mlynek, ibid. 66, 2689 (1991), respectively.
2. The first observation of atom diffraction from transmission gratings and double slits has been reported by D.W. Keith, M.L. Schattenburg, H.I. Smith, and D.E. Pritchard, Phys. Rev. Lett. 61, 1580 (1988); and O. Carnal and J. Mlynek, ibid. 66, 2689 (1991), respectively.
3. These degrees of freedom are, on the other hand, of extreme importance when the particle trajectories are manipulated with laser light. See, e.g., C.S. Adams, M. Sigel, and J. Mlynek, Phys. Rep. 240, 143 (1994); for interferometry with molecules see, e.g., C.J. Bordé, N. Coutier, F. du Burck, A.N. Goncharov, and M. Gorlicki, Phys. Lett. A 188, 187 (1994); M.S. Chapman, C.R. Ekstrom, T.D. Hammond, R.A. Rubenstein, J. Schmiedmayer, S. Wehinger, and D.E. Pritchard, Phys. Rev. Lett. 74, 4783 (1995).
4. These degrees of freedom are, on the other hand, of extreme importance when the particle trajectories are manipulated with laser light. See, e.g., C.S. Adams, M. Sigel, and J. Mlynek, Phys. Rep. 240, 143 (1994); for interferometry with molecules see, e.g., C.J. Bordé, N. Coutier, F. du Burck, A.N. Goncharov, and M. Gorlicki, Phys. Lett. A 188, 187 (1994); M.S. Chapman, C.R. Ekstrom, T.D. Hammond, R.A. Rubenstein, J. Schmiedmayer, S. Wehinger, and D.E. Pritchard, Phys. Rev. Lett. 74, 4783 (1995).
5. These degrees of freedom are, on the other hand, of extreme importance when the particle trajectories are manipulated with laser light. See, e.g., C.S. Adams, M. Sigel, and J. Mlynek, Phys. Rep. 240, 143 (1994); for interferometry with molecules see, e.g., C.J. Bordé, N. Coutier, F. du Burck, A.N. Goncharov, and M. Gorlicki, Phys. Lett. A 188, 187 (1994); M.S. Chapman, C.R. Ekstrom, T.D. Hammond, R.A. Rubenstein, J. Schmiedmayer, S. Wehinger, and D.E. Pritchard, Phys. Rev. Lett. 74, 4783 (1995).
6. G.C. Hegerfeldt and T. Köhler, Phys. Rev. A 57, 2021 (1998).
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16. W. Schöllkopf and J. P. Toennies, XVII International Symposium on Molecular Beams (Université Paris XI, Orsay, France, 1997).
17. R. G. Newton, Scattering Theory of Waves and Particles (Springer, Berlin, 1982).
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19. This is just the usual and very useful cumulant expansion. See, e.g., E. Lukacs. Characteristic Functions (Griffin, London, 1970).
20. It has been suggested to us that the treatments, in which the molecules may undergo internal transitions under the influence of laser light (see Ref. [2]) could also be applied to the case of other scattering fields, such as that of material gratings. A detailed investigation of this is, however, beyond the scope of the present paper.
21. S.W. Rick, D.L. Lynch, and J.D. Doll, J. Chem. Phys. 95, 3506 (1991).
22. Effects of additional attractive weak surface potentials on diffraction of rare-gas atoms by transmission gratings have been investigated by R.E. Grisenti, W. Schöllkopf, J.P. Toennies, G.C. Hegerfeldt, and T. Köhler, Phys. Rev. Lett. 83, 1755 (1999).
23. T. Köhler, Doctoral dissertation, University of Göttingen 1998; Max-Planck-Institut für Strömungsforschung, Göttingen, Report No. 19, 1998 (unpublished).
24. Diffraction in the third direction occurring at the upper and lower boundary of a slit, strip, or transmission grating is usually negligible [see C. Champenois, M. Büchner, and J. Vigué, Eur. Phys. J. D 5, 363 (1999)] so that a two-dimensional treatment is sufficient. The description of atomic transmission through holes in a screen requires a three-dimensional treatment as in Eq. (38).