Control of nonlinear modes by scattering-length management in Bose-Einstein condensates

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 76, Issue 1, 2007, Pages

  Zezyulin, Dmitry A ^a   Alfimov, Georgy L ^a   Konotop, Vladimir V ^b,c,d   Pérez García, Víctor M ^b  

^a NATIONAL RESEARCH UNIVERSITY OF ELECTRONIC TECHNOLOGY   (Russian Federation)

^b UNIVERSITY OF CASTILLA LA MANCHA   (Spain)

^c UNIVERSITY OF LISBON   (Portugal)

^d UNIVERSITY OF LISBON   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

CHEMICAL POTENTIAL; GROUND STATE; LASER MODES; NONLINEAR OPTICS; SCATTERING;

CONDENSATE DENSITY; NONLINEAR MODES; SCATTERING LENGTH;

BOSE-EINSTEIN CONDENSATION;

EID: 34547210252     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.76.013621     Document Type: Article

References (43)

1. M. H. Anderson, Science SCIEAS 0036-8075 10.1126/science.269.5221.198 269, 198 (1995);
2. K. B. Davis, M. O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn, and W. Ketterle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.3969 75, 3969 (1995);
3. C. C. Bradley, C. A. Sackett, J. J. Toullett, and R. G. Hugh, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.1687 75, 1687 (1995).
4. T. Tsuzuki, J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/BF00628744 4, 441 (1971);
5. S. Burger, K. Borgs, S. Dettmer, W. Ertmer, K. Sergstock, A. Sanpera, G. V. Shlyapnikov, and M. Lewenstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.5198 83, 5198 (1999).
6. V. M. Pérez-García, H. Michinel, and H. Herrero, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57.3837 57, 3837 (1998);
7. G. B. Partridge, A. G. Truscott, and R. G. Hulet, Nature (London) NATUAS 0028-0836 10.1038/nature747 417, 150 (2002);
8. F. Schreck, Science SCIEAS 0036-8075 10.1126/science.1071021 296, 1290 (2002);
9. S. L. Cornish, S. T. Thompson, and C. E. Wieman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.170401 96, 170401 (2006).
10. P. G. Kevrekidis, V. V. Konotop, A. Rodrigues, and D. J. Frantzeskakis, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/38/8/008 38, 1173 (2005).
11. V. V. Konotop and P. G. Kevrekidis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.230402 91, 230402 (2003).
12. M. Kunze, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(98)00297-8 128, 273 (1999).
13. Yu. S. Kivshar, T. J. Alexander, and S. K. Turitsyn, Phys. Lett. A PYLAAG 0375-9601 278, 225 (2001).
14. J. J. García-Ripoll, G. Molina-Terriza, V. M. Pérez- García, and L. Torner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.140403 87, 140403 (2001);
15. L.-C. Crasovan, G. Molina-Terriza, J. P. Torres, L. Torner, V. M. Perez-Garcia, and D. Mihalache, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.036612 66, 036612 (2002);
16. L.-C. Crasovan, V. Vekslerchik, V. M. Perez-Garcia, J. P. Torres, D. Mihalache, and L. Torner, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68. 063609 68, 063609 (2003);
17. L.-C. Crasovan, V. M. Perez-Garcia, I. Daraila, D. Mihalache, and L. Torner, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.033605 70, 033605 (2004);
18. M. Mottonen, S. M. M. Virtanen, T. Isoshima, and M. M. Salomaa, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.033626 71, 033626 (2005);
19. V. Pietila, M. Mottonen, T. Isoshima, J. A. M. Huhtamaki, and S. M. M. Virtanen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.023603 74, 023603 (2006);
20. G. Watanabe and C. J. Petick, e-print arXiv:cond-mat/0701270 (to be published).
21. Y. Castin and R. Dum, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.3553 79, 3553 (1997).
22. S. Inouye, Nature (London) NATUAS 0028-0836 10.1038/32354 392, 151 (1998).
23. M. Theis, G. Thalhammer, K. Winkler, M. Hellwig, G. Ruff, R. Grimm, and J. H. Denschlag, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.123001 93, 123001 (2004).
24. J. J. García-Ripoll and V. M. Pérez-García, SIAM J. Sci. Comput. (USA) SJOCE3 1064-8275 10.1137/S1064827500377721 23, 1316 (2001);
25. W. Bao, I.-L. Chern, and F. Y. Lim, J. Comput. Phys. JCTPAH 0021-9991 219, 836 (2006);
26. J. Yang and T. I. Lakoba, Stud. Appl. Math. SAPMB6 0022-2526 10.1111/j.1467-9590.2007.00371.x 118, 153 (2007).
27. G. Alfimov and D. Zezyulin, e-print arXiv:nlin.PS/0703006 (to be published).
28. M. I. Rodas-Verde, H. Michinel, and V. M. Pérez-García, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.153903 95, 153903 (2005);
29. A. V. Carpentier, H. Michinel, M. I. Rodas-Verde, and V. M. Pérez-García, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74. 013619 74, 013619 (2006).
30. F. K. Abdullaev and J. Garnier, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.061605 72, 061605 (R) (2005);
31. J. Garnier and F. K. Abdullaev, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.013604 74, 013604 (2006).
32. G. Theocharis, P. Schmelcher, P. G. Kevrekidis, and D. J. Frantzeskakis, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.033614 72, 033614 (2005).
33. H. Sakaguchi and B. A. Malomed, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.046610 72, 046610 (2005);
34. H. Sakaguchi and B. A. Malomed, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.026601 73, 026601 (2006).
35. Yu. V. Bludov and V. V. Konotop, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.043616 74, 043616 (2006).
36. P. Torres, Nonlinearity NONLE5 0951-7715 10.1088/0951-7715/19/9/006 19, 2103 (2006);
37. G. Fibich, Y. Sivan, and M. I. Weinstein, Physica D PDNPDT 0167-2789 217, 31 (2006);
38. Y. Sivan, G. Fibich, and M. I. Weinstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.193902 97, 193902 (2006).
39. J. Belmonte-Beitia, V. M. Pérez-García, V. Vekslerchik, and P. J. Torres, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.064102 98, 064102 (2007).
40. G. Dong and B. Hu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75. 013625 75, 013625 (2007).
41. See, e.g., R. Boyd, Nonlinear Optics (Academic Press, San Diego, 2002);
42. P. Kruse and M. Stadler, Ambiguity in Mind and Nature: Multistable Cognitive Phenomena (Springer, Berlin, 1995);
43. G. Forqacs and S. A. Newman, Biological Physics of the Developing Embryo (Cambridge University Press, Cambridge, 2005).