Three-dimensional solitons in coupled atomic-molecular Bose-Einstein condensates

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 70, Issue 6, 2004, Pages

  Vaughan, T G ^a   Kheruntsyan, K V ^a   Drummond, P D ^a  

^a UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

CONDENSATION; DIMERS; HAMILTONIANS; NONLINEAR OPTICS; OSCILLATIONS; PHOTONS; SCATTERING; SECOND HARMONIC GENERATION;

BOSE-EINSTEIN CONDENSATES; FORMATION ENERGY; NONLINEAR PROCESSES; WAVE SCATTERING;

SOLITONS;

EID: 42749099281     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.70.063611     Document Type: Article

References (57)

1. P. D. Drummond, K. V. Kheruntsyan, and H. He, Phys. Rev. Lett. 81, 3055 (1998).
2. K. V. Kheruntsyan and P. D. Drummond, Phys. Rev. A 58, R2676 (1998); 58, 2488 (1998).
3. K. V. Kheruntsyan and P. D. Drummond, Phys. Rev. A 58, R2676 (1998); 58, 2488 (1998).
4. D. J. Heinzen, R. H. Wynar, P. D. Drummond, and K. V. Kheruntsyan, Phys. Rev. Lett. 84, 5029 (2000).
5. E. Timmermans et al., Phys. Rev. Lett. 83, 2691 (1999); Phys. Rep. 315, 199 (1999).
6. E. Timmermans et al., Phys. Rev. Lett. 83, 2691 (1999); Phys. Rep. 315, 199 (1999).
7. J. Javanainen and M. Mackie, Phys. Rev. A 59, R3186 (1999).
8. K. V. Kheruntsyan and P. D. Drummond, Phys. Rev. A 61, 063816 (2000).
9. A. A. Kanashov and A. M. Rubenchik, Physica D 4, 122 (1981).
10. M. Hillery and L. D. Mlodinov, Phys. Rev. A 30, 1860 (1984).
11. M. G. Raymer, P. D. Drummond, and S. J. Carter, Opt. Lett. 16, 1189 (1991); P. D. Drummond and M. Hillery, Phys. Rev. A 59, 691 (1999).
12. M. G. Raymer, P. D. Drummond, and S. J. Carter, Opt. Lett. 16, 1189 (1991); P. D. Drummond and M. Hillery, Phys. Rev. A 59, 691 (1999).
13. B. A. Malomed, P. D. Drummond, H. He, A. Berntson, D. Anderson, and M. Lisak, Phys. Rev. E 56, 4725 (1997).
14. P. D. Drummond, K. V. Kheruntsyan, and H. He, J. Opt. B: Quantum Semiclassical Opt. 1, 387 (1999).
15. X. Liu, L. J. Qian, and F. W. Wise, Phys. Rev. Lett. 82, 4631 (1999); X. Liu, K. Beckwitt, and F. Wise, Phys. Rev. E 61, R4722 (2000).
16. X. Liu, L. J. Qian, and F. W. Wise, Phys. Rev. Lett. 82, 4631 (1999); X. Liu, K. Beckwitt, and F. Wise, Phys. Rev. E 61, R4722 (2000).
17. If the requirement of localization (relative to a vanishing background) is dropped, there is another possibility: Topological 3D solitons that require an infinite background of a uniform BEC have been shown to exist in spinor condensates; see: J. Ruostekoski and J. R. Anglin, Phys. Rev. Lett. 86, 3934 (2001); C. M.Savage and J. Ruostekoski, ibid. 91, 010403 (2003); J. Ruostekoski, Phys. Rev. A 70, 041601 (2004).
18. If the requirement of localization (relative to a vanishing background) is dropped, there is another possibility: Topological 3D solitons that require an infinite background of a uniform BEC have been shown to exist in spinor condensates; see: J. Ruostekoski and J. R. Anglin, Phys. Rev. Lett. 86, 3934 (2001); C. M.Savage and J. Ruostekoski, ibid. 91, 010403 (2003); J. Ruostekoski, Phys. Rev. A 70, 041601 (2004).
19. If the requirement of localization (relative to a vanishing background) is dropped, there is another possibility: Topological 3D solitons that require an infinite background of a uniform BEC have been shown to exist in spinor condensates; see: J. Ruostekoski and J. R. Anglin, Phys. Rev. Lett. 86, 3934 (2001); C. M.Savage and J. Ruostekoski, ibid. 91, 010403 (2003); J. Ruostekoski, Phys. Rev. A 70, 041601 (2004).
20. R. Ruffini and S. Bonazzola, Phys. Rev. 187, 1767 (1969).
21. R. Penrose, Philos. Trans. R. Soc. London, Ser. A 356, 1927 (1998); I. Moroz, R. Penrose, and K. P. Tod, Class. Quantum Grav. 15, 2733 (1998).
22. R. Penrose, Philos. Trans. R. Soc. London, Ser. A 356, 1927 (1998); I. Moroz, R. Penrose, and K. P. Tod, Class. Quantum Grav. 15, 2733 (1998).
23. K. P. Todd, Phys. Lett. A 280, 173 (2001).
24. E. A. Donley et al., Nature (London) 417, 529 (2002).
25. J. Herbig et al., Science 301, 1510 (2003); K. Xu et al., Phys. Rev. Lett. 91, 210402 (2003); S. Dürr et al., ibid. 92, 020406 (2004).
26. J. Herbig et al., Science 301, 1510 (2003); K. Xu et al., Phys. Rev. Lett. 91, 210402 (2003); S. Dürr et al., ibid. 92, 020406 (2004).
27. J. Herbig et al., Science 301, 1510 (2003); K. Xu et al., Phys. Rev. Lett. 91, 210402 (2003); S. Dürr et al., ibid. 92, 020406 (2004).
28. C. A. Regal et al., Nature (London) 424, 47 (2003); M. Greiner et al., ibid. 426, 537 (2003); K. J. Cubizolles et al., Phys. Rev. Lett. 91, 240401 (2003); K. E. Strecker et al., ibid. 91, 080406 (2003); M. W. Zweirlein et al., ibid. 91, 250401 (2003).
29. C. A. Regal et al., Nature (London) 424, 47 (2003); M. Greiner et al., ibid. 426, 537 (2003); K. J. Cubizolles et al., Phys. Rev. Lett. 91, 240401 (2003); K. E. Strecker et al., ibid. 91, 080406 (2003); M. W. Zweirlein et al., ibid. 91, 250401 (2003).
30. C. A. Regal et al., Nature (London) 424, 47 (2003); M. Greiner et al., ibid. 426, 537 (2003); K. J. Cubizolles et al., Phys. Rev. Lett. 91, 240401 (2003); K. E. Strecker et al., ibid. 91, 080406 (2003); M. W. Zweirlein et al., ibid. 91, 250401 (2003).
31. C. A. Regal et al., Nature (London) 424, 47 (2003); M. Greiner et al., ibid. 426, 537 (2003); K. J. Cubizolles et al., Phys. Rev. Lett. 91, 240401 (2003); K. E. Strecker et al., ibid. 91, 080406 (2003); M. W. Zweirlein et al., ibid. 91, 250401 (2003).
32. C. A. Regal et al., Nature (London) 424, 47 (2003); M. Greiner et al., ibid. 426, 537 (2003); K. J. Cubizolles et al., Phys. Rev. Lett. 91, 240401 (2003); K. E. Strecker et al., ibid. 91, 080406 (2003); M. W. Zweirlein et al., ibid. 91, 250401 (2003).
33. R. H. Wynar et al., Science 287, 1016 (2000).
34. F. A. van Abeelen and B. J. Verhaar, Phys. Rev. Lett. 83, 1550 (1999).
35. V. A. Yurovsky, A. Ben-Reuven, P. S. Julienne, and C. J. Williams, Phys. Rev. A 60, R765 (1999).
36. M. Holland, J. Park, and R. Walser, Phys. Rev. Lett. 86, 1915 (2001).
37. K. Góral, M. Gajda, and K. Rzaz̊ewski, Phys. Rev. Lett. 86, 1397 (2001).
38. J. J. Hope and M. K. Olsen, Phys. Rev. Lett. 86, 3220 (2001).
39. S. J. J. M. F. Kokkelmans and M. J. Holland, Phys. Rev. Lett. 89, 180401 (2002).
40. M. Mackie, K. A. Suominen, and J. Javanainen, Phys. Rev. Lett. 89, 180403 (2002).
41. T. Köhler, T. Gasenger, and K. Burnett, Phys. Rev. A 67, 013601 (2003).
42. R. A. Duine and H. T. C. Stoof, J. Opt. B: Quantum Semiclassical Opt. 5, 212 (2003); Phys. Rev. Lett. 91, 150405 (2003).
43. R. A. Duine and H. T. C. Stoof, J. Opt. B: Quantum Semiclassical Opt. 5, 212 (2003); Phys. Rev. Lett. 91, 150405 (2003).
44. R. A. Duine and H. T. C. Stoof, Phys. Rep. 86, 115 (2004).
45. A. V. Buryak, Yu. S. Kivshar, and S. Trillo, Opt. Lett. 20, 1961 (1995); M. A. Karpierz, ibid. 20, 1677 (1995); S. Trillo, A. V. Buryak and Yu. S. Kivshar, Opt. Commun. 122, 200 (1996); O. Bang, J. Opt. Soc. Am. B 14, 51 (1997); L. Bergé, O. Bang, J. J. Rassmussen, and V. K. Mezentsev, Phys. Rev. E 55, 3555 (1997); O. Bang, Yu. S. Kivshar, A. V. Buryak, A. De Rossi, and S. Trillo, ibid. 58, 5057 (1998).
46. A. V. Buryak, Yu. S. Kivshar, and S. Trillo, Opt. Lett. 20, 1961 (1995); M. A. Karpierz, ibid. 20, 1677 (1995); S. Trillo, A. V. Buryak and Yu. S. Kivshar, Opt. Commun. 122, 200 (1996); O. Bang, J. Opt. Soc. Am. B 14, 51 (1997); L. Bergé, O. Bang, J. J. Rassmussen, and V. K. Mezentsev, Phys. Rev. E 55, 3555 (1997); O. Bang, Yu. S. Kivshar, A. V. Buryak, A. De Rossi, and S. Trillo, ibid. 58, 5057 (1998).
47. A. V. Buryak, Yu. S. Kivshar, and S. Trillo, Opt. Lett. 20, 1961 (1995); M. A. Karpierz, ibid. 20, 1677 (1995); S. Trillo, A. V. Buryak and Yu. S. Kivshar, Opt. Commun. 122, 200 (1996); O. Bang, J. Opt. Soc. Am. B 14, 51 (1997); L. Bergé, O. Bang, J. J. Rassmussen, and V. K. Mezentsev, Phys. Rev. E 55, 3555 (1997); O. Bang, Yu. S. Kivshar, A. V. Buryak, A. De Rossi, and S. Trillo, ibid. 58, 5057 (1998).
48. A. V. Buryak, Yu. S. Kivshar, and S. Trillo, Opt. Lett. 20, 1961 (1995); M. A. Karpierz, ibid. 20, 1677 (1995); S. Trillo, A. V. Buryak and Yu. S. Kivshar, Opt. Commun. 122, 200 (1996); O. Bang, J. Opt. Soc. Am. B 14, 51 (1997); L. Bergé, O. Bang, J. J. Rassmussen, and V. K. Mezentsev, Phys. Rev. E 55, 3555 (1997); O. Bang, Yu. S. Kivshar, A. V. Buryak, A. De Rossi, and S. Trillo, ibid. 58, 5057 (1998).
49. A. V. Buryak, Yu. S. Kivshar, and S. Trillo, Opt. Lett. 20, 1961 (1995); M. A. Karpierz, ibid. 20, 1677 (1995); S. Trillo, A. V. Buryak and Yu. S. Kivshar, Opt. Commun. 122, 200 (1996); O. Bang, J. Opt. Soc. Am. B 14, 51 (1997); L. Bergé, O. Bang, J. J. Rassmussen, and V. K. Mezentsev, Phys. Rev. E 55, 3555 (1997); O. Bang, Yu. S. Kivshar, A. V. Buryak, A. De Rossi, and S. Trillo, ibid. 58, 5057 (1998).
50. A. V. Buryak, Yu. S. Kivshar, and S. Trillo, Opt. Lett. 20, 1961 (1995); M. A. Karpierz, ibid. 20, 1677 (1995); S. Trillo, A. V. Buryak and Yu. S. Kivshar, Opt. Commun. 122, 200 (1996); O. Bang, J. Opt. Soc. Am. B 14, 51 (1997); L. Bergé, O. Bang, J. J. Rassmussen, and V. K. Mezentsev, Phys. Rev. E 55, 3555 (1997); O. Bang, Yu. S. Kivshar, A. V. Buryak, A. De Rossi, and S. Trillo, ibid. 58, 5057 (1998).
51. B. J. Cusack, T. J. Alexander, E. Ostrovskaya, and Y Kivshar, Phys. Rev. A 65, 013609 (2002).
52. S. J. Carter and P. D. Drummond, Phys. Rev. Lett. 67, 3757 (1991).
53. 3)] is just a matter of convenience and appears to be the simplest.
54. 11-γ) parameter space.
55. 11 and γ, are determined by comparing the results with those observed for the case when the nonlinear coupling terms are removed from the equations of motion.
56. →=N'.
57. http://www.xmds.org