Stability and dynamics of matter-wave vortices in the presence of collisional inhomogeneities and dissipative perturbations

Journal of Physics B: Atomic, Molecular and Optical Physics

Volumn 43, Issue 15, 2010, Pages

  Middelkamp, S ^a   Kevrekidis, P G ^b   Frantzeskakis, D J ^c   Carretero Gonzalez R ^d,e   Schmelcher, P ^a  

^a UNIVERSITY OF HAMBURG   (Germany)

^b UNIVERSITY OF MASSACHUSETTS   (United States)

^c UNIVERSITY OF ATHENS   (Greece)

^d UNIVERSITY OF SEVILLE   (Spain)

^e SAN DIEGO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOGOLIUBOV; BOSE-EINSTEIN CONDENSATES; CHARGED VORTICES; HARMONIC TRAP; INHOMOGENEITIES; INTERATOMIC INTERACTIONS; MATTER WAVES; NUMERICAL TECHNIQUES; OSCILLATORY INSTABILITY; SPECTRAL PROPERTIES;

STATISTICAL MECHANICS; STEAM CONDENSERS; TURBULENT FLOW;

VORTEX FLOW;

EID: 77955103172     PISSN: 09534075     EISSN: 13616455     Source Type: Journal    
DOI: 10.1088/0953-4075/43/15/155303     Document Type: Article

References (87)

1. Pitaevskii L P and Stringari S 2003 Bose-Einstein Condensation (Oxford: Oxford University Press)
2. Pethick C J and Smith H 2002 Bose-Einstein Condensation in Dilute Gases (Cambridge: Cambridge University Press)
3. Kevrekidis P G, Frantzeskakis D J and Carretero-Gonzàlez R 2008 Emergent Nonlinear Phenomena in Bose-Einstein Condensates (Berlin: Springer)
4. Fetter A L and Svidzinksy A A 2001 J. Phys.: Condens. Matter 13 R135
5. Fetter A L 2009 Rev. Mod. Phys. 81 647
6. Kevrekidis P G, Carretero-Gonzàlez R, Frantzeskakis D J and Kevrekidis I G 2004 Mod. Phys. Lett. B 18 1481
7. Carretero-Gonzàlez R, Kevrekidis P G and Frantzeskakis D J 2008 Nonlinearity 21 R139
8. 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
9. Williams J E and Holland M J 1999 Nature 401 568
10. Madison K W, Chevy F, Wohlleben W and Dalibard J 2000 Phys. Rev. Lett. 84 806
11. Recati A, Zambelli F and Stringari S 2001 Phys. Rev. Lett. 86 377
12. Sinha S and Castin Y 2001 Phys. Rev. Lett. 87 190402
13. Madison K W, Chevy F, Bretin V and Dalibard J 2001 Phys. Rev. Lett. 86 4443
14. Raman C, Abo-Shaeer J R, Vogels J M, Xu K and Ketterle W 2001 Phys. Rev. Lett. 87 210402
15. Frisch T, Pomeau Y and Rica S 1992 Phys. Rev. Lett. 69 1644
16. Jackson B, McCann J F and Adams C S 1998 Phys. Rev. Lett. 80 3903
17. Onofrio R, Raman C, Vogels J M, Abo-Shaeer J R, Chikkatur A P and Ketterle W 2000 Phys. Rev. Lett. 85 2228
18. See also the very recent work of Neely T W, Samson E C, Bradley A S, Davis M J and Anderson B P 2010 Phys. Rev. Lett. 104 160401
19. Scherer D R, Weiler C N, Neely T W and Anderson B P 2007 Phys. Rev. Lett. 98 110402
20. Carretero-Gonzàlez R, Whitaker N, Kevrekidis P G and Frantzeskakis D J 2008 Phys. Rev. A 77 023605
21. Carretero-Gonzàlez R, Anderson B P, Kevrekidis P G, Frantzeskakis D J and Weiler C N 2008 Phys. Rev. A 77 033625
22. Ruben G, Paganin D M and Morgan M J 2008 Phys. Rev. A 78 013631
23. Leanhardt A E, Görlitz A, Chikkatur A P, Kielpinski D, Shin Y, Pritchard D E and Ketterle W 2002 Phys. Rev. Lett. 89 190403
24. Shin Y, Saba M, Vengalattore M, Pasquini T A, Sanner C, Leanhardt A E, Prentiss M, Pritchard D E and Ketterle W 2004 Phys. Rev. Lett. 93 160406
25. Pu H, Law C K, Eberly J H and Bigelow N P 1999 Phys. Rev. A 59 1533
26. Shin Y, Saba M, Vengalattore M, Pasquini T A, Sanner C, Leanhardt A E, Prentiss M, Pritchard D E and Ketterle W 2004 Phys. Rev. Lett. 93 160406
27. Möttönen M, Mizushima T, Isoshima T, Salomaa M M and Machida K 2003 Phys. Rev. A 68 023611
28. Simula T P, Virtanen S M M and Salomaa M M 2002 Phys. Rev. A 65 033614
29. Lundh E 2002 Phys. Rev. A 65 043604
30. Huhtamäki J A M, Möttönen M and Virtanen S M M 2006 Phys. Rev. A 74 063619
31. Lundh E and Nilsen H M 2006 Phys. Rev. A 74 063620
32. Feder D L, Svidzinsky A A, Fetter A L and Clark C W 2001 Phys. Rev. Lett. 86 564
33. Kapitula T, Kevrekidis P G and Sandstede B 2005 Physica D 195 263
34. Chin C, Grimm R, Julienne P S and Tiesinga E 2010 Rev. Mod. Phys. 82 1225
35. Köhler T, Goral K and Julienne P S 2006 Rev. Mod. Phys. 78 1311
36. Inouye S, Andrews M R, Stenger J, Miesner H-J, Stamper-Kurn D M and Ketterle W 1998 Nature 392 151
37. Stenger J, Inouye S, Andrews M R, Miesner H-J, Stamper-Kurn D M and Ketterle W 1999 Phys. Rev. Lett. 82 2422
38. 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
39. Cornish S L, Claussen N R, Roberts J L, Cornell E A and Wieman C E 2000 Phys. Rev. Lett. 85 1795
40. Fatemi F K, Jones K M and Lett P D 2000 Phys. Rev. Lett. 85 4462
41. Theis M, Thalhammer G, Winkler K, Hellwig M, Ruff G, Grimm R and Denschlag J H 2004 Phys. Rev. Lett. 93 123001
42. Thalhammer G, Theis M, Winkler K, Grimm R and Denschlag J H 2005 Phys. Rev. A 71 033403
43. Fedichev P O, Kagan Yu, Shlyapnikov G V and Walraven J T M 1996 Phys. Rev. Lett. 77 2913
44. Bauer D M, Lettner M, Vo C, Rempe G and Dürr S 2009 Nat. Phys. 5 339
45. Bauer D M, Lettner M, Vo C, Rempe G and Dürr S 2009 Phys. Rev. A 79 062713
46. Bohn J L and Julienne P S 1997 Phys. Rev. A 56 1486
47. Yamazaki R, Taie S, Sugawa S and Takakashi Y 2010 arXiv:1005.3372v1
48. Theocharis G, Schmelcher P, Kevrekidis P G and Frantzeskakis D J 2005 Phys. Rev. A 72 033614
49. Abdullaev F Kh and Salerno M 2003 J. Phys. B: At. Mol. Opt. Phys. 36 2851
50. Rodas-Verde M I, Michinel H and Pérez-Garcĺâa V M 2005 Phys. Rev. Lett. 95 153903
51. Carpentier A V, Michinel H, Rodas-Verde M I and Pérez- Garcĺâa V M 2006 Phys. Rev. A 74 013619
52. Theocharis G, Schmelcher P, Kevrekidis P G and Frantzeskakis D J 2006 Phys. Rev. A 74 053614
53. Garnier J and Abdullaev F Kh 2006 Phys. Rev. A 74 013604
54. Dong G, Hu B and Lu W 2006 Phys. Rev. A 74 063601
55. Bludov Yu V, Brazhnyi V A and Konotop V V 2007 Phys. Rev. A 76 023603
56. Pitaevskii L P 1958 Zh. Eksp. Teor. Fiz. 35 408
57. Pitaevskii L P 1959 Sov. Phys.-JETP 35 282
58. Graham R 1998 Phys. Rev. Lett. 81 5262
59. Lee M D and Gardiner C W 2000 Phys. Rev. A 62 033606
60. Choi S, Morgan S A and Burnett K 1998 Phys. Rev. A 57 4057
61. Tsubota M, Kasamatsu K and Ueda M 2002 Phys. Rev. A 65 023603
62. Tsubota M, Kasamatsu K and Ueda M 2003 Phys. Rev. A 67 033610
63. Penckwitt A A, Ballagh R J and Gardiner C W 2002 Phys. Rev. Lett. 89 260402
64. Aranson I and Steinberg V 1996 Phys. Rev. B 53 75
65. Sàsik R, Bettencourt L M A and Habib S 2000 Phys. Rev. B 62 1238
66. Madarassy E J M and Barenghi C F 2008 J. Low Temp. Phys. 152 122
67. Proukakis N P, Parker N G, Barenghi C F and Adams C S 2004 Phys. Rev. Lett. 93 130408
68. Cockburn S P, Nistazakis H E, Horikis T P, Kevrekidis P G, Proukakis N P and Frantzeskakis D J 2010 Phys. Rev. Lett. 104 174101
69. Jackson B and Proukakis N P 2008 J. Phys. B: At. Mol. Opt. Phys. 41 203002
70. Svidzinsky A A and Fetter A L 2000 Phys. Rev. Lett. 84 5919
71. Fetter A L and Kim J-K 2001 J. Low Temp. Phys. 125 239
72. Rubinstein B Y and Pismen L M 1994 Physica D 78 1
73. Kivshar Yu S, Christou J, Tikhonenko V, Luther-Davies B and Pismen L M 1998 Opt. Commun. 152 198
74. MacKay R S 1987 Hamiltonian Dynamical Systems ed R S MacKay and J Meiss (Bristol: Hilger) p 137
75. Skryabin D V 2001 Phys. Rev. A 63 013602
76. Skryabin D V 2001 Phys. Rev. E 64 055601
77. McGee S A and Holland M J 2001 Phys. Rev. A 63 043608
78. Dziarmaga J and Meisner J 2008 J. Phys. B: At. Mol. Opt. Phys. 38 4211
79. Pelinovsky D E and Kevrekidis P G 2008 Contemp. Math. 473 159
80. Dalfovo F, Giorgini S, Pitaevskii L P and Stringari S 1999 Rev. Mod. Phys. 71 463
81. Kapitula T, Kevrekidis P G and Frantzeskakis D J 2008 Chaos 18 023101
82. Pérez-Garcĺâa V M, Berloff N G, Kevrekidis P G, Konotop V V, Lewenstein M and Malomed B A (eds) 2009 Special Volume on Nonlinear phenomena in degenerate quantum gases Physica D 238 1289
83. Law K J H, Qiao L, Kevrekidis P G and Kevrekidis I G 2008 Phys. Rev. A 77 053612
84. Theocharis G, Frantzeskakis D J, Carretero-Gonzàlez R, Kevrekidis P G and Malomed B A 2005 Math. Comput. Simulat. 69 537
85. Kevrekidis P G, Carretero-Gonzàlez R, Theocharis G, Frantzeskakis D J and Malomed B A 2003 J. Phys. B: At. Mol. Opt. Phys. 36 3467
86. Jackson B, Proukakis N P, Barenghi C F and Zaremba E 2009 Phys. Rev. A 79 053615
87. Thanvanthri S, Kapale K T and Dowling J P 2009 arXiv:0907.1138v1