Theory of four-wave mixing of matter waves from a Bose-Einstein condensate

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 62, Issue 2, 2000, Pages 023608-023601

  Trippenbach, Marek ^a   Band, Y B ^a   Julienne, P S ^b  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

^b NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ATOMS; COMPUTER SIMULATION; CORRELATION METHODS; DIFFRACTION; ELECTRON GAS; ELECTRON RESONANCE; ELECTRON TRANSITIONS; NUMERICAL METHODS; PHASE MODULATION; QUANTUM THEORY;

BOSE-EINSTEIN CONDENSATES; BRAGG DIFFRACTION; ENERGY MOMENTUM DISPERSION RELATION; GROSS-PITAEVSKII EQUATION; QUANTUM CORRELATIONS; SLOWLY VARYING ENVELOPE APPROXIMATION;

FOUR WAVE MIXING;

EID: 0034249537     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (36)

1. M. Trippenbach, Y. B. Band, and P. S. Julienne, Opt. Express 3, 530 (1998).
2. L. Deng, E. W. Hagley, J. Wen, M. Trippenbach, Y. B. Band, P. S. Julienne, J. E. Simsarian, K. Helmerson, S. L. Rolston, and W. D. Phillips, Nature (London) 398, 218 (1999).
3. M. H. Anderson et al., Science 269, 198 (1995); K. B. Davis et al., Phys. Rev. Lett. 75, 3969 (1995); C. C. Bradley et al., ibid. 78, 985 (1997); see also C. C. Bradley et al., ibid. 75, 1687 (1995).
4. M. H. Anderson et al., Science 269, 198 (1995); K. B. Davis et al., Phys. Rev. Lett. 75, 3969 (1995); C. C. Bradley et al., ibid. 78, 985 (1997); see also C. C. Bradley et al., ibid. 75, 1687 (1995).
5. M. H. Anderson et al., Science 269, 198 (1995); K. B. Davis et al., Phys. Rev. Lett. 75, 3969 (1995); C. C. Bradley et al., ibid. 78, 985 (1997); see also C. C. Bradley et al., ibid. 75, 1687 (1995).
6. M. H. Anderson et al., Science 269, 198 (1995); K. B. Davis et al., Phys. Rev. Lett. 75, 3969 (1995); C. C. Bradley et al., ibid. 78, 985 (1997); see also C. C. Bradley et al., ibid. 75, 1687 (1995).
7. See reviews of BEC by F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999); A. S. Parkins and D. F. Walls, Phys. Rep. 303, 1 (1998).
8. See reviews of BEC by F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999); A. S. Parkins and D. F. Walls, Phys. Rep. 303, 1 (1998).
9. M. O. Mewes et al., Phys. Rev. Lett. 78, 582 (1997); B. P. Anderson and M. A. Kasevich, Science 282, 1686 (1998); E. Hagley et al., Science 283, 1706 (1999); I. Bloch, T. W. Hänsch and T. Esslinger, Phys. Rev. Lett. 82, 3008 (1999).
10. M. O. Mewes et al., Phys. Rev. Lett. 78, 582 (1997); B. P. Anderson and M. A. Kasevich, Science 282, 1686 (1998); E. Hagley et al., Science 283, 1706 (1999); I. Bloch, T. W. Hänsch and T. Esslinger, Phys. Rev. Lett. 82, 3008 (1999).
11. M. O. Mewes et al., Phys. Rev. Lett. 78, 582 (1997); B. P. Anderson and M. A. Kasevich, Science 282, 1686 (1998); E. Hagley et al., Science 283, 1706 (1999); I. Bloch, T. W. Hänsch and T. Esslinger, Phys. Rev. Lett. 82, 3008 (1999).
12. M. O. Mewes et al., Phys. Rev. Lett. 78, 582 (1997); B. P. Anderson and M. A. Kasevich, Science 282, 1686 (1998); E. Hagley et al., Science 283, 1706 (1999); I. Bloch, T. W. Hänsch and T. Esslinger, Phys. Rev. Lett. 82, 3008 (1999).
13. M. Kozuma, L. Deng, E. W. Hagley, J. Wen, R. Lutwak, K. Helmerson, S. L. Rolston, and W. D. Phillips, Phys. Rev. Lett. 82, 871 (1999).
14. G. Lenz, P. Meystre, and E. W. Wright, Phys. Rev. Lett. 71, 3271 (1993).
15. E. Goldstein, K. Plättner, and P. Meystre, Quantum Semiclassic. Opt. 7, 743 (1995); E. Goldstein, K. Plättner, and P. Meystre, J. Res. Natl. Inst. Stand. Technol. 101, 583 (1996).
16. E. Goldstein, K. Plättner, and P. Meystre, Quantum Semiclassic. Opt. 7, 743 (1995); E. Goldstein, K. Plättner, and P. Meystre, J. Res. Natl. Inst. Stand. Technol. 101, 583 (1996).
17. E. Goldstein and P. Meystre, Phys. Rev. A 59, 1509 (1999).
18. C. K. Law, H. Pu, and N. P. Bigelow, Phys. Rev. Lett. 81, 5257 (1998).
19. E. Goldstein and P. Meystre, Phys. Rev. A 59, 3896 (1999).
20. R. W. Hellwarth, Prog. Quantum Electron. 5, 1 (1977).
21. P. D. Maker and R. W. Terhune, Phys. Rev. A 137, 801 (1965).
22. A. Yariv and D. M. Pepper, Opt. Lett. 1, 16 (1977).
23. M. Doery (private communication).
24. R. J. Ballagh, K. Burnett, and T. F. Scott, Phys. Rev. Lett. 78, 1607 (1997).
25. H. Wallis, A. Rohrl, M. Naraschewski, and A. Schenzle, Phys. Rev. A 55, 2109 (1997).
26. M. Trippenbach and Y. B. Band, Phys. Rev. A 56, 4242 (1997).
27. M. Trippenbach and Y. B. Band, Phys. Rev. A 57, 4791 (1998).
28. Y. B. Band, M. Trippenbach, J. P. Burke, and P. S. Julienne, Phys. Rev. Lett. 84, 5462 (2000).
29. A. P. Chikkatur, A. Goerlitz, D. M. Stamper-Kurn, S. Gupta, S. Inouye, D. E. Pritchard, and W. Ketterle, e-print cond-mat/0003387.
30. E. Tiesinga, C. J. Williams, P. S. Julienne, K. M. Jones, P. D. Lett, and W. D. Phillips, J. Res. Natl. Inst. Stand. Technol. 101, 505 (1996).
31. J. A. Fleck, J. R. Morris, and M. D. Feit, Appl. Opt. 10, 129 (1976); M. D. Feit and J. A. Fleck, ibid. 17, 3390 (1978); 18, 2843 (1979).
32. J. A. Fleck, J. R. Morris, and M. D. Feit, Appl. Opt. 10, 129 (1976); M. D. Feit and J. A. Fleck, ibid. 17, 3390 (1978); 18, 2843 (1979).
33. J. A. Fleck, J. R. Morris, and M. D. Feit, Appl. Opt. 10, 129 (1976); M. D. Feit and J. A. Fleck, ibid. 17, 3390 (1978); 18, 2843 (1979).
34. Y. Castin and R. Dum, Phys. Rev. Lett. 77, 5315 (1996).
35. Y. B. Band, Phys. Rev. A 42, 5530 (1990).
36. Y. B. Band, E. Tiesinga, J. P. Burke, and P. S. Julienne (unpublished).