Gap-Townes solitons and localized excitations in low-dimensional Bose-Einstein condensates in optical lattices

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 72, Issue 3, 2005, Pages

  Abdullaev, Fatkhulla Kh ^a,b   Salerno, Mario ^a  

^a UNIVERSITY OF SALERNO   (Italy)

^b S YU YUNUSOV INSTITUTE OF THE CHEMISTRY OF PLANT SUBSTANCES   (Uzbekistan)

Author keywords

[No Author keywords available]

Indexed keywords

BOSE-EINSTEIN CONDENSATES; GAP SOLITONS; NONLINEAR SCHRÖDINGER EQUATION; OPTICAL LATTICES; TONKS-GIRARDEAU GAS;

ELECTRIC EXCITATION; ELECTRON TRANSITIONS; GROUND STATE; MOLECULAR DYNAMICS; NONLINEAR EQUATIONS; SOLITONS;

QUANTUM THEORY;

EID: 28844497995     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.72.033617     Document Type: Article

References (43)

1. B. P. Anderson and M. A. Kasevich, Science SCIEAS 0036-8075 10.1126/science.282.5394.1686 282, 1686 (1998).
2. M. Cristiani, O. Morsch, J. H. Miller, D. Ciampini, and E. Arimondo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.063612 65, 063612 (2002).
3. B. Wu and Q. Niu, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/5/1/104 5, 104 (2003).
4. B. Eiermann, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91. 060402 91, 060402 (2003).
5. M. Greiner, O. Mandel, T. Esslinger, T. W. Hansch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/415039a 415, 39 (2002).
6. B. B. Baizakov, V. V. Konotop, and M. Salerno, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/35/24/312 35, 5105 (2002).
7. E. A. Ostrovskaya and Yu. S. Kivshar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.160407 90, 160407 (2003).
8. N. Akhmediev, Int. J. Mod. Phys. B IJPBEV 0217-9792 10.1142/ S0217979299000515 13, 625 (1999).
9. W. Zhang, E. M. Wright, H. Pu, and P. Meystre, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.023605 68, 023605 (2003).
10. F. Kh. Abdullaev, A. Gammal, L. Tomio, and T. Frederico, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.043604 63, 043604 (2001).
11. A. Gammal, T. Frederico, L. Tomio, and F. Kh. Abdullaev, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(00)00114-6 267, 305 (2000).
12. S. Inouye, M. R. Andrews, J. Stenger, H. J. Miesner, D. M. Stampur-Kurn, and W. Ketterle, Nature (London) NATUAS 0028-0836 10.1038/32354 392, 151 (1998).
13. V. Efimov, Phys. Lett. PYLBAJ 0370-2693 10.1016/0370-2693(70)90349-7 33B, 563 (1970).
14. A. Bulgac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89. 050402 89, 050402 (2002).
15. P. F. Bedaque, E. Braaten, and H.-W. Hammer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.908 85, 908 (2000).
16. E. Braaten, H.-W. Hammer, and T. Mehan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.040401 88, 040401 (2002).
17. Jack W. Michael, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 89.140402 89, 140402 (2002).
18. T. Köhler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89. 210404 89, 210404 (2002).
19. E. B. Kolomeisky, T. J. Newman, J. P. Straley, and Qi Xiaoya, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.1146 85, 1146 (2000).
20. A. Minguzzi, P. Vignolo, M. L. Chiofalo, and M. P. Tosi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.033605 64, 033605 (2001).
21. B. Damski, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/37/5/L01 37, L85 (2004).
22. D. J. Frantzeskakis, N. P. Proukakis, and P. G. Kevrekidis, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.015601 70, 015601 (2004).
23. M. D. Girardeau and E. M. Wright, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.5239 84, 5239 (2000).
24. L. Berge, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(97)00092-6 303, 259 (1998).
25. V. A. Brazhnyi and V. V. Konotop, Mod. Phys. Lett. B MPLBET 0217-9849 10.1142/S0217984904007190 18, 627 (2004).
26. B. V. Gisin, R. Driben, and B. A. Malomed, J. Opt. B: Quantum Semiclassical Opt. JOBOFD 1464-4266 10.1088/1464-4266/6/5/013 6, S259 (2004).
27. C. De Angelis, IEEE J. Quantum Electron. IEJQA7 0018-9197 10.1109/3.286174 30, 818 (1994).
28. K. D. Moll, A. L. Gaeta, and G. Fibich, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.203902 90, 203902 (2003).
29. B. A. Malomed, Prog. Opt. POPTAN 0079-6638 43, 69 (2001).
30. Mario Salerno, Laser Phys. LAPHEJ 1054-660X 15, 620 (2005);
31. see also e-print cond-mat/0311630.
32. Yu. B. Gaididei, J. Schjodt-Eriksen, and P. L. Christiansen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.4877 60, 4877 (1999).
33. B. B. Baizakov, B. A. Malomed, and M. Salerno, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-00579-4 63, 642 (2003).
34. B. B. Baizakov and M. Salerno, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.013602 69, 013602 (2004).
35. B. L. Tolra, K. M. O'Hara, J. H. Huckans, W. D. Phillips, S. L. Rolston, and J. V. Porto, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.190401 92, 190401 (2004).
36. A. Bondeson, M. Lisak, and D. Anderson, Phys. Scr. PHSTBO 0031-8949 20, 479 (1979);
37. A. Maimistov, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 104, 3620 (1993)
38. A. Maimistov, [JETP JTPHES 1063-7761 77, 727 (1993)].
39. V. S. Filho, F. Kh. Abdullaev, A. Gammal, and L. Tomio, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.053603 63, 053603 (2001).
40. G. Fibich, SIAM J. Appl. Math. SMJMAP 0036-1399 10.1137/S0036139999362609 61, 1680 (2001).
41. Y. Kagan, A. E. Muryshev, and G. V. Shlyapnikov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.933 81, 933 (1998).
42. M. Salerno, B. B. Baizakov, and F. Kh Abdullaev (unpublished).
43. V. V. Konotop and P. Pacciani (private communication).