Abstract
The laser induced splitting of atomic beams inthe presence of a gravitational field is analyzed. Inthe frame of a quasiclassical approximation, the motionof the atomic beam through a laser region with rectangular profile is calculated. Beside theusual beam splitting due to the atomlaser interaction,an additional splitting occurs due to the anomalouseffective interaction with the gravitational field. In a first order approximation in thegravitational acceleration, the outcome of an atominterferometry experiment is given, which includes thevarious corrections owing to the gravitationalmodification of the beam splitting process.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
Bordé Ch. J. (1989). Phys. Lett. A 140, 10.
Kasevich, M., and Chu, S. (1991). Phys. Rev. Lett. 67, 181.
Riehle, F., Kisters, Th., Witte, A., Helmcke, J., and Bordé, Ch. J. (1991). Phys. Rev. Lett. 67, 177.
Sterr, U., Sengstock, K., Müller, J. H., Bettermann, D., and Ertmer, W. (1992). Appl. Phys. B 54, 341.
Bordé, Ch. J., Courtier, N., Burck, F. D., Goncharov, A. N., and Gorlicki, M. (1994). Phys. Lett. A 188, 187.
Chapman, M. S., Ekstrom, Ch. R., Hammond, T. D., Rubenstein, R. A., Schmiedmayer, J., Wehinger, S., and Pritchard, D. E. (1995). Phys. Rev. Lett. 74, 4783.
Hehl, F. W., and Ni, W.-T. (1990). Phys. Rev. D 42, 2045.
Hehl, F. W., Lemke, J., and Mielke, E. W. (1991). In Geometry and Theoretical Physics, J. Debrus and A. C. Hirshfeld, eds. (Springer-Verlag, Berlin), p. 56.
Audretsch, J., Hehl, F. W., and Lämmerzahl, C. (1992). In Relativistic Gravity Research. With Emphasis on Experiments and Observations, J. Ehlers and G. Schäfer, eds. (Lecture Notes in Physics 410, Springer-Verlag, Berlin), p. 368.
Bordé, Ch. J. (1996). In Atom Interferometry, P. R. Berman, ed. (Academic Press, Boston), p. 257.
Lämmerzahl, C., and Bordé, Ch. (1995). Phys. Lett. A 203, 59.
Marzlin, P., and Audretsch, J. (1996). Phys. Rev. A 53, 1004.
Bordé, Ch. J. (1992). In Laser Spectroscopy X, G. Camy, M. Ducloy, E. Giacobino, eds. (World Scientific, Singapore).
Bordé, Ch. J., and Lämmerzahl, C. (1999). Ann. Physik (Leipzig) 8, 83..
Lämmerzahl, C. (1996). Gen. Rel. Grav. 28, 1043.
Lämmerzahl, C. (1998). Acta Phys. Polon. B 29, 1057.
Bordé, Ch., Karasievicz, A., Tourrence, Ph. (1994). Int. J. Mod. Phys. D 3, 157.
Bonse, U., and Wroblewski, T. (1984). Phys. Rev. D 30, 1214.
Rights and permissions
About this article
Cite this article
Lammerzahl, C., Borde, C.J. Atomic Interferometry in Gravitational Fields: Influence of Gravitation on the Beam Splitter. General Relativity and Gravitation 31, 635–652 (1999). https://doi.org/10.1023/A:1026693028157
Issue Date:
DOI: https://doi.org/10.1023/A:1026693028157