Soliton oscillations in collisionally inhomogeneous attractive Bose-Einstein condensates

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 76, Issue 2, 2007, Pages

  Niarchou, P ^a   Theocharis, G ^a   Kevrekidis, P G ^b   Schmelcher, P ^c   Frantzeskakis, D J ^a  

^a UNIVERSITY OF ATHENS   (Greece)

^b UNIVERSITY OF MASSACHUSETTS   (United States)

^c UNIVERSITY OF HEIDELBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BOSE-EINSTEIN CONDENSATION; LINEAR STABILITY ANALYSIS; MATHEMATICAL MODELS; NUMERICAL METHODS;

OSCILLATION FREQUENCIES; SOLITON OSCILLATIONS;

SOLITONS;

EID: 34548451059     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.76.023615     Document Type: Article

References (41)

1. C. J. Pethick and H. Smith, Bose-Einstein Condensation in Dilute Gases (Cambridge University Press, Cambridge, 2002);
2. L. P. Pitaevskii and S. Stringari, Bose-Einstein Condensation (Oxford University Press, Oxford, 2003).
3. S. Inouye M. R. Andrews, J. Stenger, H. J. Miesner, D. M. Stamper-Kurn, and W. Ketterle, Nature (London) NATUAS 0028-0836 10.1038/32354 392, 151 (1998);
4. J. L. Roberts, N. R. Claussen, J. P. Burke, Jr., C. H. Greene, E. A. Cornell, and C. E. Wieman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.5109 81, 5109 (1998).
5. 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).
6. M. Marinescu and L. You, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.4596 81, 4596 (1998).
7. K. E. Strecker, G. B. Partridge, A. G. Truscott, and R. G. Hulet, Nature (London) NATUAS 0028-0836 10.1038/nature747 417, 150 (2002);
8. L. Khaykovich, F. Schreck, G. Ferrari, T. Bourdel, J. Cubizolles, L. D. Carr, Y. Castin, and C. Salomon, 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. F. Kh. Abdullaev, J. G. Caputo, R. A. Kraenkel, and B. A. Malomed, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.013605 67, 013605 (2003);
11. H. Saito and M. Ueda, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.040403 90, 040403 (2003);
12. G. D. Montesinos, V. M. Pérez-García, and P. J. Torres, Physica D PDNPDT 0167-2789 10.1016/j.physd.2003.12.001 191, 193 (2004).
13. M. Matuszewski, E. Infeld, B. A. Malomed, and M. Trippenbach, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.050403 95, 050403 (2005);
14. M. Trippenbach, M. Matuszewski, and B. A. Malomed, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10468-x 70, 8 (2005).
15. P. G. Kevrekidis, G. Theocharis, D. J. Frantzeskakis, and B. A. Malomed, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.230401 90, 230401 (2003);
16. D. E. Pelinovsky, P. G. Kevrekidis, and D. J. Frantzeskakis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.240201 91, 240201 (2003);
17. D. E. Pelinovsky, P. G. Kevrekidis, D. J. Frantzeskakis, and V. Zharnitsky, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.047604 70, 047604 (2004);
18. Z. X. Liang, Z. D. Zhang, and W. M. Liu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.050402 94, 050402 (2005);
19. M. A. Porter, M. Chugunova, and D. E. Pelinovsky, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.036610 74, 036610 (2006).
20. F. Kh. Abdullaev, A. M. Kamchatnov, V. V. Konotop, and V. A. Brazhnyi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.230402 90, 230402 (2003).
21. V. M. Pérez-García, V. V. Konotop, and V. A. Brazhnyi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.220403 92, 220403 (2004).
22. 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).
23. F. Kh. Abdullaev and M. Salerno, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/36/13/314 36, 2851 (2003).
24. 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);
25. 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).
26. G. Theocharis, P. Schmelcher, P. G. Kevrekidis, and D. J. Frantzeskakis, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.053614 74, 053614 (2006).
27. J. Garnier and F. Abdullaev, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.013604 74, 013604 (2006).
28. G. Fibich, Y. Sivan, and M. I. Weinstein, Physica D PDNPDT 0167-2789 10.1016/j.physd.2006.03.009 217, 31 (2006);
29. Y. Sivan, G. Fibich, and M. I. Weinstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.193902 97, 193902 (2006);
30. 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).
31. Yu. S. Kivshar and B. A. Malomed, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.61.763 61, 763 (1989).
32. U. Al Khawaja, H. T. C. Stoof, R. G. Hulet, K. E. Strecker, and G. B. Partridge, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.200404 89, 200404 (2002).
33. Yu. S. Kivshar, D. E. Pelinovsky, T. Cretegny, and M. Peyrard, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.5032 80, 5032 (1998);
34. D. E. Pelinovsky, Yu. S. Kivshar, and V. V. Afanasjev, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(98)80010-9 116, 121 (1998).
35. T. Kapitula, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(01)00256-1 156, 186 (2001).
36. T. Kapitula, P. G. Kevrekidis, and B. Sandstede, Physica D PDNPDT 0167-2789 10.1016/j.physd.2004.03.018 195, 263 (2004).
37. L. Salasnich, A. Parola, and L. Reatto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.043614 65, 043614 (2002).
38. A. M. Kamchatnov and V. S. Shchesnovich, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.023604 70, 023604 (2004).
39. L. Khaykovich and B. A. Malomed, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.023607 74, 023607 (2006).
40. M. Albiez, R. Gati, J. Fölling, S. Hunsmann, M. Cristiani, and M. K. Oberthaler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.010402 95, 010402 (2005).
41. L. Salasnich, A. Parola, and L. Reatto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.043603 66, 043603 (2002).