Dynamic generation of matter solitons from linear states via time-dependent scattering lengths

Journal of Physics B: Atomic, Molecular and Optical Physics

Volumn 38, Issue 8, 2005, Pages 1173-1188

  Kevrekidis, P G ^a   Konotop, V V ^b   Rodrigues, A ^c   Frantzeskakis, D J ^d  

^a UNIVERSITY OF MASSACHUSETTS   (United States)

^b UNIVERSITY OF LISBON   (Portugal)

^c UNIVERSITY OF PORTO   (Portugal)

^d UNIVERSITY OF ATHENS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; LIGHT SCATTERING; MAGNETIC FIELDS; PROBLEM SOLVING; QUANTUM OPTICS;

BOSE-EINSTEIN CONDENSATES; SOLITARY WAVES; STABILITY ANALYSIS; TIME-DEPENDENT MAGNETIC FIELDS;

SOLITONS;

EID: 24344444473     PISSN: 09534075     EISSN: None     Source Type: Journal    
DOI: 10.1088/0953-4075/38/8/008     Document Type: Article

References (44)

1. Dalfovo F, Giorgini S, Pitaevskii L P and Stringari S 1999 Rev. Mod. Phys. 71 463
2. Leggett A J 2001 Rev. Mod. Phys. 73 307
3. Cornell E A and Wieman C E 2002 Rev. Mod. Phys. 74 875
4. Ketterle W 2002 Rev. Mod. Phys. 74 1131
5. Kevrekidis P G and Frantzeskakis D J 2004 Mod. Phys. Lett. B 18 173
6. Brazhnyi V A and Konotop V V 2004 Mod. Phys. Lett. B 18 627
7. [41 Burger S, Bongs K, Dettmer S, Ertmer W, Sengstock K, Sanpera A, Shlyapnikov G V and Lewenstein M 1999 Phys. Rev. Lett. 83 5198
8. Denschlag J et al 2000 Science 287 97
9. Anderson B P, Haijan P C, Regal C A, Feder D L, Collins L A, Clark C W and Cornell E A 2001 Phys. Rev. Lett. 86 2926
10. Khaykovich L, Schreck F, Ferrari G, Bourdel T, Cubizolles J, Carr L D, Castin Y and Salomon C 2002 Science 296 1290
11. Leanhardt A E, Chikkatur A P, Kielpinski D, Shin Y, Gustavson T L, Ketterle W and Pritchard D E 2002 Phys. Rev. Lett. 89 040401
12. Ott H, Fortagh J, Kraft S, Gunther A, Komma D and Zimmermann C 2003 Phys. Rev. Lett. 91 040402
13. Kevrekidis P G, Frantzeskakis D J, Theocharis G and Kevrekidis I G 2003 Phys. Lett. A 317 513
14. Hänsel W, Hommelhoff P, Hansen T W and Reichel J 2001 Nature 413 498
15. Folman R and Schmiedmayer J 2001 Nature 413 466
16. Reichel J 2002 Appl. Phys. B 74 469
17. Folman R, Kraeger P, Schmiedmayer J, Denschlag J and Henkel C 2002 Adv. Atom. Mol. Opt. Phys. 48 263
18. Strecker K E, Partridge G B, Truscott A G and Hulet R G 2002 Nature 417 150
19. Cataliotti F S, Fallani L, Ferlaino F, Fort C, Maddaloni P and Inguscio M 2003 New J. Phys. 5 71
20. Williams J E and Holland M J 1999 Nature 401 568
21. Matthews M R, Anderson B P, Haljan P C, Hall D S, Wieman C E and Cornell E A 1999 Phys. Rev. Lett. 83 2498
22. Fetter A L and Zvidzinsky A A 2001 J. Phys.: Condens. Matter 13 R135
23. Kevrekidis P G, Carretero-González R, Frantzeskakis D J and Kevrekidis I G 2004 Mod. Phys. Lett. B 18 1481
24. Abdullaev F Kh, Kamchatnov A M, Konotop V V and Brazhnyi V A 2003 Phys. Rev. Lett. 90 230402
25. Brazhnyi V A and Konotop V V 2004 Preprint cond-mat/0409682
26. Inouye S, Andrews M R, Stenger J, Miesner H J, Stamper-Kurn D M and Ketterle W 1998 Nature 392 151
27. Stenger J, Inouye S, Andrews M R, Miesner H-J, Stamper-Kurn D M and Ketterle W 1999 Phys. Rev. Lett. 82 2422
28. Roberts J L, Claussen N R, Burke J P Jr, Greene C H, Cornell E A and Wieman C E 1998 Phys. Rev. Lett. 81 5109
29. Cornish S L, Claussen N R, Roberts J L, Cornell E A and Wieman C E 2000 Phys. Rev. Lett. 85 1795
30. Kivshar Yu S, Alexander T J and Turitsyn S K 2001 Phys. Lett. A 278 225
31. Kevrekidis P G, Theocharis G, Frantzeskakis D J and Malomed B A 2003 Phys. Rev. Lett. 90 230401
32. Pelinovsky D E, Kevrekidis P G and Frantzeskakis D J 2003 Phys. Rev. Lett. 91 240201
33. Rapti Z, Theocharis G, Kevrekidis P G, Frantzeskakis D J and Malomed B A 2004 Phys. Scr. T 107 27
34. Pelinovsky D E, Kevrekidis P G, Frantzeskakis D J and Zharnitsky V 2004 Phys. Rev. E 70 047604
35. Abdullaev F Kh and Salerno M 2003 J. Phys. B: At. Mol. Opt. Phys. 36 2851
36. Pérez-García V M, Michinel H and Herrero H 1998 Phys. Rev. A 57 3837
37. Brazhnyi V A and Konotop V V 2003 Phys. Rev. A 68 043613
38. See, e.g., theorem XII.23 in Reed M and Simon B 1978 Methods of Modern Mathematical Physics: IV. Analysis of Operators (New York: Academic)
39. For the ground state and positive scattering length another proof of the same result can be found in D'Agosta R, Malomed B A and Presilla C 2000 Phys. Lett. A 275 424
40. Gerdjikov V S, Baizakov B B and Salerno M 2004 Preprint cond-mat/0409741
41. Kevrekidis P G, Frantzeskakis D J, Malomed B A, Bishop A R and Kevrekidis IG 2003 New J. Phys. 5 64
42. Kevrekidis P G, Bishop A R and Rasmussen K Ø 2001 Phys. Rev. E 63 036603
43. Hille E 1976 Ordinary Differential Equations in the Complex Domain (Toronto: Wiley)
44. Kapitula T and Kevrekidis P G 2004 Bose-Einstein condensates in the presence of a magnetic trap and an optical lattice (Online available at http://www.math.unm.edu/~kapitula/papers/BEC.pdf)