Quantum theory of atom-wave beam splitters and application to multidimensional atomic gravito-inertial sensors

General Relativity and Gravitation

Volumn 36, Issue 3, 2004, Pages 475-502

  Bordé, Christian J ^a,b  

^a UNIVERSITÉ PARIS 13   (France)

^b OBSERVATOIRE DE PARIS   (France)

Author keywords

Atom wave beam splitter; Gravito inertial sensor

Indexed keywords

EID: 3543018583     PISSN: 00017701     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:GERG.0000010726.64769.6d     Document Type: Review

References (31)

1. Berman, P., (Ed.) (1997). Atom Interferometry, Academic, New York.
2. Bordé, Ch. J., Salomon, Ch., Avrillier, S., van Lerberghe, A., Bréant, Ch., Bassi, D., and Scoles, G. (1984). Phys. Rev. A 30, 1836-1848.
3. Bordé, Ch. J. (1991). In Laser Spectroscopy X, World Scientific, Singapore, pp. 239-245.
4. Sterr, U., Sengstock, K., Ertmer, W., Riehle, F., and Helmck, J. (1997). In Atom Interferometry, P. Berman (Ed.), Academic, New York, pp. 293-362.
5. Bordé, Ch. J. (1989). Phys. Lett. A 140, 10-12.
6. Bordé, Ch. J. (1997). In Atom Interferometry, P. Berman (Ed.), Academic, New York, pp. 257-292.
7. Bordé, Ch. J. (2001). C. R. Acad. Sci. Paris, t. 2 (Série IV), 509-530.
8. Bordé, Ch. J. (2002). Metrologia 39, 435-463.
9. Antoine, Ch., and Bordé, Ch. J. (2003) Phys. Lett. A 306, 277-284.
10. Antoine, Ch., and Bordé, Ch. J. (2003). J. Opt. B: Quant. Semiclass. Opt. 5, S199-S207.
11. Ishikawa, J., Riehle, F., Helmcke, J., and Bordé, Ch. J. (1994). Phys. Rev. A 49, 4794-4825.
12. Bordé, Ch. J., Courtier, N., du Burck, F., Goncharov, A. N., and Gorlicki, M. (1994). Phys. Lett. A 188, 187-197.
13. Bordé, Ch. J. (1999). In Laser Spectroscopy, R. Blatt, J. Eschner, D. Leibfried, and F. Schmidt-Kaler, (Eds.), World Scientific, Singapore, pp. 160-169; Bordé, Ch. J. (2002). In Frequency Standards and Metrology, P. Gill, (Ed.), World Scientific, Singapore, pp. 18-25; Bordé, Ch. J. (2002). In Advances in the Interplay Between Quantum and Gravity Physics, P. G. Bergmann and V. de Sabbata (Eds.), Kluwer Academic, Dordrecht, The Netherlands, pp. 27-55.
14. Bordé, Ch. J. (1999). In Laser Spectroscopy, R. Blatt, J. Eschner, D. Leibfried, and F. Schmidt-Kaler, (Eds.), World Scientific, Singapore, pp. 160-169; Bordé, Ch. J. (2002). In Frequency Standards and Metrology, P. Gill, (Ed.), World Scientific, Singapore, pp. 18-25; Bordé, Ch. J. (2002). In Advances in the Interplay Between Quantum and Gravity Physics, P. G. Bergmann and V. de Sabbata (Eds.), Kluwer Academic, Dordrecht, The Netherlands, pp. 27-55.
15. Bordé, Ch. J. (1999). In Laser Spectroscopy, R. Blatt, J. Eschner, D. Leibfried, and F. Schmidt-Kaler, (Eds.), World Scientific, Singapore, pp. 160-169; Bordé, Ch. J. (2002). In Frequency Standards and Metrology, P. Gill, (Ed.), World Scientific, Singapore, pp. 18-25; Bordé, Ch. J. (2002). In Advances in the Interplay Between Quantum and Gravity Physics, P. G. Bergmann and V. de Sabbata (Eds.), Kluwer Academic, Dordrecht, The Netherlands, pp. 27-55.
16. Bordé, Ch. J., and Lämmerzahl, C. (1999). Ann. Physik (Leipzig) 8, 83-110.
17. Lämmerzahl, C., and Bordé, Ch. J. (1995). Phys. Lett. A 203, 59-67.
18. Lämmerzahl, C., and Bordé, Ch. J. (1999). Gen. Rel. Grav. 31, 635.
19. Marzlin, K.-P., and Audretsch, J. (1996). Phys. Rev. A 53, 1004-1013.
20. Antoine, Ch., and Bordé, Ch. J. (in preparation).
21. Bordé, Ch. J. (1990). Propagation of Laser Beams and of Atomic Systems, Les Houches Lectures, Session LIII; Bordé, Ch. J. (1991). In Fundamental Systems in Quantum Optics, J. Dalibard, J.-M. Raimond, and J. Zinn-Justin (Eds.), Elsevier, Amsterdam, pp. 287-380.
22. Bordé, Ch. J. (1990). Propagation of Laser Beams and of Atomic Systems, Les Houches Lectures, Session LIII; Bordé, Ch. J. (1991). In Fundamental Systems in Quantum Optics, J. Dalibard, J.-M. Raimond, and J. Zinn-Justin (Eds.), Elsevier, Amsterdam, pp. 287-380.
23. Heupel, T., Mei, M., Niering, M., Gross, B., Weitz, M., Hänsch, T. W., and Bordé, Ch. J. (2002). Europhys. Lett. 57, 158-163.
24. Bordé, Ch. J., Weitz, M., and Hänsch, T. W. In Laser Spectroscopy, L. Bloomfield, T. Gallagher, and D. Larson (Eds.), American Institute of Physics, New York (1994) pp. 76-78.
25. Trebst, T., Binnewies, T., Helmcke, J., and Riehle, F. (2001). IEEE Trans. Instr. Meas. 50, 535-538 and references therein.
26. Bordé, Ch. J. (2002). An Elementary Quantum Theory of Atom-Wave Beam Splitters: The ttt Theorem, Lecture notes for a mini-course, Institut für Quantenoptik, Universität Hannover, Germany.
27. Bordé, Ch. J., Karasiewicz, A., and Tourrenc, Ph. (1994). Int. J. Mod. Phys. D 3, 157-161.
28. Bordé, Ch. J., Houard, J.-C., and Karasiewicz, A. (2001). In Gyros, Clocks and Interferometers: Testing Relativistic Gravity in Space, C. Lämmerzahl, C. W. F. Everitt, and F. W. Hehl, (Eds.), Springer-Verlag, New York, pp. 403-438 (gr-qc/0008033).
29. Linet, B., and Tourrenc, P. (1976). Can. J. Phys. 54, 1129-1133.
30. Young, B. C., Kasevich, M., and Chu, S. (1997). In Atom Interferometry, P. Berman (Ed.), Academic, New York, pp. 363-406.
31. Bordé, Ch. J., Sharma, J., Tourrenc, Ph., and Damour, Th. (1983). J. Physique Lett. 44, L983-L990.