Two-dimensional scattering of slow molecules by laser beams

Journal of Chemical Physics

Volumn 108, Issue 15, 1998, Pages 6272-6281

  Seideman, Tamar ^a,b   Kharchenko, V ^b  

^a NATIONAL RESEARCH COUNCIL CANADA   (Canada)

^b HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0007027249     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.476034     Document Type: Article

References (36)

1. A collection of earlier works is given in J. Opt. Soc. Am. B 2, (1985) and J. Opt. Soc. Am. B 6, (1989).
2. A collection of earlier works is given in J. Opt. Soc. Am. B 2, (1985) and J. Opt. Soc. Am. B 6, (1989).
3. Atom Interferometry, edited by P. R. Berman (Academic, London, 1997).
4. A. Ashkin, Phys. Rev. Lett. 24, 156 (1970).
5. S. Chu, Science 253, 861 (1991); Y. Tadir, W. H. Wright, O. Vafa, L. H. Liaw, R. Asch, and M. W. Berns, Human Reprod. 6, 1011 (1991); A. Ashkin, K. Schutze, J. M. Dziedzic, U. Euteneuer, and M. Schliwa, Nature (London) 348, 346 (1990); H. Liang, W. H. Wright, W. He, and M. W. Berns, Exp. Cell Res. 197, 21 (1991).
6. S. Chu, Science 253, 861 (1991); Y. Tadir, W. H. Wright, O. Vafa, L. H. Liaw, R. Asch, and M. W. Berns, Human Reprod. 6, 1011 (1991); A. Ashkin, K. Schutze, J. M. Dziedzic, U. Euteneuer, and M. Schliwa, Nature (London) 348, 346 (1990); H. Liang, W. H. Wright, W. He, and M. W. Berns, Exp. Cell Res. 197, 21 (1991).
7. S. Chu, Science 253, 861 (1991); Y. Tadir, W. H. Wright, O. Vafa, L. H. Liaw, R. Asch, and M. W. Berns, Human Reprod. 6, 1011 (1991); A. Ashkin, K. Schutze, J. M. Dziedzic, U. Euteneuer, and M. Schliwa, Nature (London) 348, 346 (1990); H. Liang, W. H. Wright, W. He, and M. W. Berns, Exp. Cell Res. 197, 21 (1991).
8. S. Chu, Science 253, 861 (1991); Y. Tadir, W. H. Wright, O. Vafa, L. H. Liaw, R. Asch, and M. W. Berns, Human Reprod. 6, 1011 (1991); A. Ashkin, K. Schutze, J. M. Dziedzic, U. Euteneuer, and M. Schliwa, Nature (London) 348, 346 (1990); H. Liang, W. H. Wright, W. He, and M. W. Berns, Exp. Cell Res. 197, 21 (1991).
9. T. Seideman, Phys. Rev. A 56, R17 (1997).
10. T. Seideman, J. Chem. Phys. 106, 2881 (1997).
11. T. Seideman, J. Chem. Phys. 107, 10420 (1997).
12. We distinguish between the far-of-resonance trap [FORT, see J. D. Miller, R. A. Cline, and D. J. Heinzen, Phys. Rev. A 47, R4567 (1993)] where the light is detuned from resonance to minimize scattering, but a two-level description remains appropriate and the nonresonant, or quasistatic frequency regime, (Ref. 5-7), where no single transition is singled out and all vibronic levels of the molecule are implicitly taken into account. See also Takekoshi and R. J. Knize, Opt. Lett. 21, 77 (1996).
13. We distinguish between the far-of-resonance trap [FORT, see J. D. Miller, R. A. Cline, and D. J. Heinzen, Phys. Rev. A 47, R4567 (1993)] where the light is detuned from resonance to minimize scattering, but a two-level description remains appropriate and the nonresonant, or quasistatic frequency regime, (Ref. 5-7), where no single transition is singled out and all vibronic levels of the molecule are implicitly taken into account. See also Takekoshi and R. J. Knize, Opt. Lett. 21, 77 (1996).
14. B. Friedrich and D. R. Herschbach, Phys. Rev. Lett. 74, 4623 (1995).
15. H. Stapelfeldt, H. Sakai, E. Constant, and P. B. Corkum, Phys. Rev. Lett. (submitted).
16. (a) J. M. Doyle, B. Friedrich, J. Kim, and D. Patterson, Phys. Rev. A 52, 2515 (1995);
17. (b) The experiment proposed in Ref. 11a is currently underway, J.M. Doyle, private communication;
18. (c) J. T. Bahns, W. C. Stwalley, and P. L. Gould, J. Chem. Phys. 104, 9689 (1996);
19. (d) H. Wang, X. T. Wang, P. L. Gould, and W. C. Stwalley, Phys. Rev. Lett. 78, 4173 (1997);
20. (e) Y. Band and P. S. Julienne, Phys. Rev. A 51, R4317 (1995);
21. (f) A. Vardi, D. Abrashkevich, E. Frishman, and M. Shapiro, J. Chem. Phys. (submitted).
22. 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).
23. (a) P. A. Naik, S. R. Kuoobhare, and P. D. Gupta (in preparation);
24. (b) E. Constant (private communication).
25. (a) See, for instance, M. F. Crommie, C. P. Lutz, D. M. Eigler, and E. J. Heller, Physica D 83, 98 (1995);
26. (b) See, for instance, J. Yamauchi, M. Nibe, and H. Nakano, Opt. Quantum Electron. 29, 451 (1997);
27. (c) See, for instance, T. Ando, A. B. Fowler, and F. Stern, Rev. Mod. Phys. 54, 438 (1982).
28. R. N. Zare and D. R. Herschbach, Proc. IEEE 51, 173 (1963).
29. L. Landau and E. M. Lifshitz, Quantum Mechanics (Pergamon, New York, 1991).
30. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965).
31. While many elementary scattering theory books contain clear discussions of the Eikonal approximation [see, for instance, M. L. Goldberger and K. M. Watson, Collision Theory (Wiley, New York, 1964)], it appears that the original derivation is due to R. J. Glauber, High-Energy Collision Theory, in Lectures in Theoretical Physics, edited by W. E. Brittin and L. G. Dunham (Interscience, New York, 1959), Vol. I, p. 315.
32. While many elementary scattering theory books contain clear discussions of the Eikonal approximation [see, for instance, M. L. Goldberger and K. M. Watson, Collision Theory (Wiley, New York, 1964)], it appears that the original derivation is due to R. J. Glauber, High-Energy Collision Theory, in Lectures in Theoretical Physics, edited by W. E. Brittin and L. G. Dunham (Interscience, New York, 1959), Vol. I, p. 315.
33. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic, London, 1980).
34. For recent advances in the field of Bose-Einstein condensation, see, for instance, M. R. Andrews, D. M. Kurn, H.-J. Miesner, D. S. Durfee, C. G. Townsend, S. Inouye, and W. Ketterle, Phys. Rev. Lett. 79, 553 (1997), and references therein.
35. H. S. W. Massey and C. B. O. Mohr, Proc. R. Soc. London, Ser. A 144, 188 (1934). For a review of the Massey-Mohr and related approxima-tions, see E. E. Nikitin and S. Ya. Umanskii, Theory of Slow Atomic Collisions (Springer-Verlag, Berlin, 1984), p. 191.
36. H. S. W. Massey and C. B. O. Mohr, Proc. R. Soc. London, Ser. A 144, 188 (1934). For a review of the Massey-Mohr and related approxima-tions, see E. E. Nikitin and S. Ya. Umanskii, Theory of Slow Atomic Collisions (Springer-Verlag, Berlin, 1984), p. 191.