Macroscopic quantum tunneling of two-component Bose-Einstein condensates

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 64, Issue 5, 2001, Pages 11-

  Kasamatsu, Kenichi ^a   Yasui, Yukinori ^a   Tsubota, Makoto ^a  

^a Osaka Prefecture University   (Japan)

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EID: 85035299563     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.64.053605     Document Type: Article

References (37)

1. C. J. Myatt, E. A. Burt, R. W. Ghrist, E. A. Cornell, and C. E. Wieman, Phys. Rev. Lett. 78, 586 (1997).
2. J. Stenger, S. Inouye, D. M. Stamper-Kurn, H. -J. Miesner, A. P. Chikkatur, and W. Ketterle, Nature (London) 396, 345 (1998).
3. H.-J. Miesner, D. M. Stamper-Kurn, J. Stenger, S. Inouye, A. P. Chikkatur, and W. Ketterle, Phys. Rev. Lett. 82, 2228 (1999);
4. Phys. Rev. Lett.D. M. Stamper-Kurn, H.-J. Miesner, A. P. Chikkatur, S. Inouye, J. Stenger, and W. Ketterle, 83, 661 (1999).
5. T. L. Ho and V. B. Shenoy, Phys. Rev. Lett. 77, 3276 (1996).
6. B. D. Ersy, C. H. Greene, J. P. Burke, and J. L. Bohn, Phys. Rev. Lett. 78, 3594 (1997).
7. H. Pu and N. P. Bigelow, Phys. Rev. Lett. 80, 1130 (1998);
8. Phys. Rev. Lett.H. PuN. P. Bigelow80, 1134 (1998).
9. P. Öhberg and S. Stenholm, Phys. Rev. A 57, 1272 (1998).
10. E. P. Bashkin and A. V. Vagov, Phys. Rev. B 56, 6207 (1997).
11. E. Timmermans, Phys. Rev. Lett. 81, 5718 (1998).
12. B. D. Ersy and C. H. Greene, Phys. Rev. A 59, 1457 (1999).
13. P. Ao and S. T. Chui, Phys. Rev. A 58, 4836 (1998);
14. Phys. Rev. AP. AoS. T. Chui59, 1473 (1999).
15. M. Trippenbach, K. Góral, K. Rzaźewski, B. Malomed, and Y. B. Band, J. Phys. B 33, 4017 (2000).
16. B. Tanatar and K. Erkan, Phys. Rev. A 62, 053601 (2000).
17. D. Gordon and C. M. Savage, Phys. Rev. A 58, 1440 (1998).
18. P. Öhberg, Phys. Rev. A 59, 634 (1999).
19. C. K. Law, H. Pu, N. P. Bigelow, and J. H. Eberly, Phys. Rev. Lett. 79, 3105 (1997).
20. C. C. Bradley, C. A. Sackett, J. J. Tollett, and R. G. Hulet, Phys. Rev. Lett. 75, 1687 (1995).
21. H. T. C. Stoof, J. Stat. Phys. 87, 1353 (1997);
22. M. Ueda and A. J. Leggett, Phys. Rev. Lett. 80, 1576 (1998);
23. Phys. Rev. Lett.C. Huepe, S. Métens, G. Dewel, P. Borckmans, and M. E. Brachet, 82, 1616 (1999);
24. J. A. Freire and D. P. Arovas, Phys. Rev. A 59, 1461 (1999).
25. M. Olshanii, Phys. Rev. Lett. 81, 938 (1998).
26. D. S. Petrov, M. Holzmann, and G. V. Shlyapnikov, Phys. Rev. Lett. 84, 2551 (2000).
27. E. V. Goldstein, M. G. Moore, H. Pu, and P. Meystre, Phys. Rev. Lett. 85, 5030 (2000).
28. M. R. Matthews, D. S. Hall, D. S. Jin, J. R. Ensher, C. E. Wieman, E. A. Cornell, F. Dalfovo, C. Minniti, and S. Stringari, Phys. Rev. Lett. 81, 243 (1998).
29. S. Inouye, M. R. Andrews, J. Stenger, H.-J. Meisner, D. M. Stamper-Kurn, and W. Ketterle, Nature (London) 392, 151 (1998);
30. Ph. Courteille, R. S. Freeland, D. J. Heinzen, F. A. van Abeelen, and B. J. Verhaar, Phys. Rev. Lett. 81, 69 (1998);
31. Phys. Rev. Lett.S. L. Cornish, N. R. Claussen, J. L. Roberts, E. A. Cornell, and C. E. Wieman, 85, 1795 (2000).
32. H. Kleinert, Path Integrals in Quantum Mechanics, Statistics, and Polymer Physics (World Scientific, Singapore, 1990).
33. In the case of a single condensate, the collective coordinate space is three dimensional, corresponding to the sizes of the condensate along x, y, and z directions. One of the authors (Y.Y.) studied the bounce trajectory by solving the imaginary-time equation of motion (Formula presented) analytically and numerically 28. It was shown that the trajectory is approximately straight when the number of condensed bosons is slightly below a certain critical number.
34. F. R. Klinkhamer and N. S. Manton, Phys. Rev. D 30, 2212 (1984).
35. W. Zweger, Z. Phys. B: Condens. Matter 51, 301 (1983).
36. Y. Yasui, T. Takaai, and T. Ootsuka, J. Phys. A 34, 2643 (2001).
37. I. Affleck, Phys. Rev. Lett. 46, 388 (1981).