Bright solitons in the one-dimensional discrete Gross-Pitaevskii equation with dipole-dipole interactions

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 78, Issue 6, 2008, Pages

  Gligorić, Goran ^a   Maluckov, Aleksandra ^b   Hadžievski, Ljupčo ^a   Malomed, Boris A ^c  

^a UNIVERSITY OF BELGRADE   (Serbia)

^b UNIVERSITY OF NI   (Serbia)

^c TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

BOSE-EINSTEIN CONDENSATION; FLOW INTERACTIONS; NONLINEAR EQUATIONS; STEAM CONDENSERS;

AXIAL DIRECTIONS; BRIGHT SOLITONS; CONTACT INTERACTIONS; DINGER EQUATIONS; DIPOLE INTERACTIONS; DISCRETE SOLITONS; EINSTEIN CONDENSATES; EXISTENCE AND STABILITIES; NONLOCAL INTERACTIONS; NONLOCAL TERMS; OPTICAL LATTICES; PARAMETRIC SPACES; PEIERLS; PITAEVSKII EQUATIONS;

SOLITONS;

EID: 58149176131     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.78.063615     Document Type: Article

References (55)

1. M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Science 269, 198 (1995); 10.1126/science.269.5221.198
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. 75, 3969 (1995); 10.1103/PhysRevLett.75.3969
3. D. G. Fried, T. C. Killian, L. Willmann, D. Landhuis, S. C. Moss, D. Kleppner, and T. J. Greytak, Phys. Rev. Lett. 81, 3811 (1998). 10.1103/PhysRevLett.81.3811
4. K. E. Strecker, G. B. Partridge, A. G. Truscott, and R. G. Hulet, Nature (London) 417, 150 (2002); 10.1038/nature747
5. see also K. E. Strecker, G. B. Partridge, A. G. Truscott, and R. G. Hulet, New J. Phys. 5, 73 (2003). 10.1088/1367-2630/5/1/373
6. L. Khaykovich, F. Schreck, G. Ferrari, T. Bourdel, J. Cubizolles, L. D. Carr, Y. Castin, and C. Salomon, Science 296, 1290 (2002). 10.1126/science. 1071021
7. S. L. Cornish, S. T. Thompson, and C. E. Wieman, Phys. Rev. Lett. 96, 170401 (2006). 10.1103/PhysRevLett.96.170401
8. V. M. Pérez-García, H. Michinel, and H. Herrero, Phys. Rev. A 57, 3837 (1998). 10.1103/PhysRevA.57.3837
9. A. E. Muryshev, G. V. Shlyapnikov, W. Ertmer, K. Sengstock, and M. Lewenstein, Phys. Rev. Lett. 89, 110401 (2002). 10.1103/PhysRevLett.89.110401
10. L. Salasnich, Laser Phys. 12, 198 (2002);
11. L. Salasnich, A. Parola, and L. Reatto, Phys. Rev. A 65, 043614 (2002); 10.1103/PhysRevA.65.043614
12. L. Salasnich, A. Parola, and L. Reatto, Phys. Rev. A 66, 043603 (2002). 10.1103/PhysRevA.66.043603
13. S. Sinha, A. Y. Cherny, D. Kovrizhin, and J. Brand, Phys. Rev. Lett. 96, 030406 (2006). 10.1103/PhysRevLett.96.030406
14. L. Khaykovich and B. A. Malomed, Phys. Rev. A 74, 023607 (2006). 10.1103/PhysRevA.74.023607
15. S. De Nicola, B. A. Malomed, and R. Fedele, Phys. Lett. A 360, 164 (2006); 10.1016/j.physleta.2006.07.062
16. S. De Nicola, R. Fedele, D. Jovanovic, B. Malomed, M. A. Man'ko, V. I. Man'ko, and P. K. Shukla, Eur. Phys. J. B 54, 113 (2006). 10.1140/epjb/e2006- 00418-0
17. A. Trombettoni and A. Smerzi, Phys. Rev. Lett. 86, 2353 (2001); 10.1103/PhysRevLett.86.2353
18. F. Kh. Abdullaev, B. B. Baizakov, S. A. Darmanyan, V. V. Konotop, and M. Salerno, Phys. Rev. A 64, 043606 (2001); 10.1103/PhysRevA.64.043606
19. G. L. Alfimov, P. G. Kevrekidis, V. V. Konotop, and M. Salerno, Phys. Rev. E 66, 046608 (2002); 10.1103/PhysRevE.66.046608
20. R. Carretero-González and K. Promislow, Phys. Rev. A 66, 033610 (2002); 10.1103/PhysRevA.66.033610
21. N. K. Efremidis and D. N. Christodoulides, Phys. Rev. A 67, 063608 (2003). 10.1103/PhysRevA.67.063608
22. A Maluckov, L. Hadžievski, B. A. Malomed, and L. Salasnich, Phys. Rev. A 78, 013616 (2008). 10.1103/PhysRevA.78.013616
23. M. A. Porter, R. Carretero-González, P. G. Kevrekidis, and B. A. Malomed, Chaos 15, 015115 (2005). 10.1063/1.1858114
24. K. Góral, K. Rzaźewski, and T. Pfau, Phys. Rev. A 61, 051601 (R) (2000). 10.1103/PhysRevA.61.051601
25. A. Griesmaier, J. Werner, S. Hensler, J. Stuhler, and T. Pfau, Phys. Rev. Lett. 94, 160401 (2005); 10.1103/PhysRevLett.94.160401
26. J. Stuhler, A. Griesmaier, T. Koch, M. Fattori, T. Pfau, S. Giovanazzi, P. Pedri, and L. Santos, Phys. Rev. Lett. 95, 150406 (2005); 10.1103/PhysRevLett.95.150406
27. A. Griesmaier, J. Phys. B 40, R91 (2007). 10.1088/0953-4075/40/14/R01
28. T. Koch, T. Lahaye, J. Metz, B. Frölich, A. Griesmaier, and T. Pfau, Nat. Phys. 4, 218 (2008); 10.1038/nphys887
29. M. Ueda and K. Huang, Phys. Rev. A 60, 3317 (1999); 10.1103/PhysRevA.60. 3317
30. L. Santos and G. V. Shlyapnikov, Phys. Rev. A 66, 011602 (R) (2002); 10.1103/PhysRevA.66.011602
31. C. M. Savage, N. P. Robins, and J. J. Hope, Phys. Rev. A 67, 014304 (2003). 10.1103/PhysRevA.67.014304
32. M. Marinescu and L. You, Phys. Rev. Lett. 81, 4596 (1998). 10.1103/PhysRevLett.81.4596
33. A. Szameit, T. Pertsch, S. Nolte, A. Tünnermann, and F. Lederer, Phys. Rev. A 77, 043804 (2008). 10.1103/PhysRevA.77.043804
34. A. Munoz Mateo and V. Delgado, Phys. Rev. A 77, 013617 (2008). 10.1103/PhysRevA.77.013617
35. K. Nho and D. P. Landau, Phys. Rev. A 72, 023615 (2005). 10.1103/PhysRevA.72.023615
36. T. Lahaye, J. Metz, B. Fröhlich, T. Koch, M. Meister, A. Griesmaier, T. Pfau, H. Saito, Y. Kawaguchi, and M. Ueda, Phys. Rev. Lett. 101, 080401 (2008). 10.1103/PhysRevLett.101.080401
37. P. Pedri and L. Santos, Phys. Rev. Lett. 95, 200404 (2005); 10.1103/PhysRevLett.95.200404
38. R. Nath, P. Pedri, and L. Santos, Phys. Rev. A 76, 013606 (2007). 10.1103/PhysRevA.76.013606
39. I. Tikhonenkov, B. A. Malomed, and A. Vardi, Phys. Rev. Lett. 100, 090406 (2008). 10.1103/PhysRevLett.100.090406
40. Y. Y. Lin, R. K. Lee, Y.-M. Kao, and T.-F. Jiang, Phys. Rev. A 78, 023629 (2008). 10.1103/PhysRevA.78.023629
41. G.-P. Zheng, J. Phys. B 40, 4493 (2007). 10.1088/0953-4075/40/23/009
42. S. Giovanazzi, A. Görlitz, and T. Pfau, Phys. Rev. Lett. 89, 130401 (2002). 10.1103/PhysRevLett.89.130401
43. O. Morsch and M. Oberthaler, Rev. Mod. Phys. 78, 179 (2006). 10.1103/RevModPhys.78.179
44. A. Trombettoni and A. Smerzi, Phys. Rev. Lett. 86, 2353 (2001); 10.1103/PhysRevLett.86.2353
45. F. Kh. Abdullaev, B. B. Baizakov, S. A. Darmanyan, V. V. Konotop, and M. Salerno, Phys. Rev. A 64, 043606 (2001); 10.1103/PhysRevA.64.043606
46. G. L. Alfimov, P. G. Kevrekidis, V. V. Konotop, and M. Salerno, Phys. Rev. E 66, 046608 (2002); 10.1103/PhysRevE.66.046608
47. R. Carretero-González and K. Promislow, Phys. Rev. A 66, 033610 (2002). 10.1103/PhysRevA.66.033610
48. N. G. Vakhitov and A. A. Kolokolov, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 16, 10120 (1973)
49. N. G. Vakhitov and A. A. Kolokolov, [Radiophys. Quantum Electron. 10.1007/BF01031343 16, 783 (1973)].
50. Y. Sivan, B. Ilan, and G. Fibich, e-print arXiv:0806.3838 (2008).
51. Yu. S. Kivshar and D. K. Campbell, Phys. Rev. E 48, 3077 (1993). 10.1103/PhysRevE.48.3077
52. R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 2726 (1999). 10.1103/PhysRevLett.83.2726
53. T. R. O. Melvin, A. R. Champneys, P. G. Kevrekidis, and J. Cuevas, Phys. Rev. Lett. 97, 124101 (2006). 10.1103/PhysRevLett.97.124101
54. S. Aubry, Physica D 7, 240 (1983). 10.1016/0167-2789(83)90129-X
55. I. E. Papacharalampous, P. G. Kevrekidis, B. A. Malomed, and D. J. Frantzeskakis, Phys. Rev. E 68, 046604 (2003). 10.1103/PhysRevE.68.046604