Skew-symmetric vortices and solitons in crossed-lattice potentials

Journal of Optics A: Pure and Applied Optics

Volumn 11, Issue 9, 2009, Pages

  Mayteevarunyoo, Thawatchai ^a,b   Malomed, Boris A ^b  

^a MAHANAKORN UNIVERSITY OF TECHNOLOGY   (Thailand)

^b TEL AVIV UNIVERSITY   (Israel)

Author keywords

Gap solitons; Gross Pitaevskii equation; Linear coupling; Optical lattice; Spontaneous symmetry breaking; Supercritical bifurcation; Vakhitov Kolokolov criterion; Variational approximation

Indexed keywords

GAP SOLITONS; GROSS-PITAEVSKII EQUATION; LINEAR COUPLING; OPTICAL LATTICE; SPONTANEOUS SYMMETRY BREAKING; SUPERCRITICAL BIFURCATION; VAKHITOV-KOLOKOLOV CRITERION; VARIATIONAL APPROXIMATION;

BIFURCATION (MATHEMATICS); BOSE-EINSTEIN CONDENSATION; CONTROL NONLINEARITIES; COUPLED CIRCUITS; CRYSTAL LATTICES; FORCED CONVECTION; LIGHT; NUMERICAL METHODS; OPTICAL MATERIALS; STATISTICAL MECHANICS; STEAM CONDENSERS;

SOLITONS;

EID: 70449347987     PISSN: 14644258     EISSN: 17413567     Source Type: Journal    
DOI: 10.1088/1464-4258/11/9/094015     Document Type: Article

References (75)

1. Fleischer J W, Segev M, Efremidis N K and Christodoulides D N 2003 Nature 422 147
2. Neshev D N, Alexander T J, Ostrovskaya E A, Kivshar Y S, Martin H, Makasyuk I and Chen Z G 2004 Phys. Rev. Lett. 92 123903
3. Fleischer J W, Bartal G, Cohen O, Manela O, Segev M, Hudock J and Christodoulides D N 2004 Phys. Rev. Lett. 92 123904
4. Morsch O and Oberthaler M 2006 Rev. Mod. Phys. 78 179
5. Carusotto I, Embriaco D and La Rocca G C 2002 Phys. Rev. A 65 053611
6. Baizakov B B, Konotop V V and Salerno M 2002 J. Phys. B: At. Mol. Opt. Phys. 35 5105
7. Ostrovskaya E A and Kivshar Y S 2003 Phys. Rev. Lett. 90 160407
8. Ostrovskaya E A and Kivshar Y S 2004 Phys. Rev. Lett. 93 160405
9. Ostrovskaya E A and Kivshar Y S 2004 Opt. Express 12 19
10. Ostrovskaya E A and Kivshar Y S 2004 Phys. Rev. Lett. 93 160405
11. Eiermann B, Anker Th, Albiez M, Taglieber M, Treutlein P, Marzlin K-P and Oberthaler M K 2004 Phys. Rev. Lett. 92 230401
12. Malomed B A, Wang Z H, Chu P L and Peng G D 1999 J. Opt. Soc. Am. B 16 1197
13. Alfimov G L, Konotop V V and Salerno M 2002 Europhys. Lett. 58 7
14. Kivshar Yu S and Agrawal G P 2003 Optical Solitons: From Fibers to Photonic Crystals (San Diego, CA: Academic)
15. Dalfovo F, Giorgini S, Pitaevskii L P and Stringari S 1999 Rev. Mod. Phys. 71 463
16. Trombettoni A and Smerzi A 2001 Phys. Rev. Lett. 86 2353-6
17. Abdullaev F Kh, Baizakov B B, Darmanyan S A, Konotop V V and Salerno M 2001 Phys. Rev. A 64 043606
18. Alfimov G L, Kevrekidis P G, Konotop V V and Salerno M 2002 Phys. Rev. E 66 046608
19. Kevrekidis P G, Rasmussen K and Bishop A R 2001 Int. J. Mod. Phys. B 15 2833
20. Milburn G J, Corney J, Wright E M and Walls D F 1997 Phys. Rev. A 55 4318-24
21. Smerzi A, Fantoni S, Giovanazzi S and Shenoy S R 1997 Phys. Rev. Lett. 79 4950-3
22. Ruostekoski J and Walls D F 1998 Phys. Rev. A 58 R50-3
23. Raghavan S, Smerzi A, Fantoni S and Shenoy S R 1999 Phys. Rev. A 59 620-33
24. Salasnich L, Parola A and Reatto L 1999 Phys. Rev. A 60 4171-4
25. Ostrovskaya E A, Kivshar Y S, Lisak M, Hall B, Cattani F and Anderson D 2000 Phys. Rev. A 61 031601
26. Williams J E 2001 Phys. Rev. A 64 013610
27. Aschbacher W H, Fröhlich J, Graf G M, Schnee K and Troyer M 2002 J. Math. Phys. 43 3879
28. Salasnich L, Parola A and Reatto L 2002 J. Phys. B: At. Mol. Opt. Phys. 35 3205
29. Coullet P and Vandenberghe N 2002 J. Phys. B: At. Mol. Opt. Phys. 35 1593-612
30. Tiecke T G, Kemmann M, Buggle C, Shvarchuck I, von Klitzing W and Walraven J T M 2003 J. Opt. B: Quantum Semiclass. Opt. 5 S119
31. Sakellari E, Proukakis N P and Adams C S 2004 J. Phys. B: At. Mol. Opt. Phys. 37 3681
32. Jackson R K and Weinstein M I 2004 J. Stat. Phys. 116 881
33. Albiez M, Gati R, Folling J, Hunsmann S, Cristiani M and Oberthaler M K 2005 Phys. Rev. Lett. 95 010402
34. Jaaskelainen M and Meystre P 2005 Phys. Rev. A 71 043603
35. Infeld E, Ziń P, Gocałek J and Trippenbach M 2006 Phys. Rev. E 74 026610
36. Yuan Q-X and Ding G-H 2005 Phys. Lett. A 344 156
37. Theocharis G, Kevrekidis P G, Frantzeskakis D J and Schmelcher P 2006 Phys. Rev. E 74 056608
38. Anderlini M, Sebby-Strabley J, Kruse J, Porto J V and Phillips W D 2006 J. Phys. B: At. Mol. Opt. Phys. 39 S199
39. Wang C, Kevrekidis P G, Whitaker N and Malomed B A 2008 Two-component nonlinear Schrödinger models with a double-well potential Physica D 327 2922
40. Gubeskys A and Malomed B A 2007 Phys. Rev. A 75 063602
41. Matuszewski M, Malomed B A and Trippenbach M 2007 Phys. Rev. A 75 063621
42. Trippenbach M, Infeld E, Gocałek J, Matuszewski M, Oberthaler M and Malomed B A 2008 Phys. Rev. A 78 013603
43. Gubeskys A and Malomed B A 2007 Phys. Rev. A 76 043623
44. Kevrekidis P G, Chen Z G, Malomed B A, Frantzeskakis D J and Weinstein M I 2005 Phys. Lett. A 340 275
45. Chu P L, Malomed B A and Peng G D 1993 J. Opt. Soc. Am. B 10 1379
46. Akhmediev N and Ankiewicz A 1993 Phys. Rev. Lett. 70 2395
47. Malomed B A, Skinner I, Chu P L and Peng G D 1996 Phys. Rev. E 53 4084
48. Mak W C K, Chu P L and Malomed B A 1998 J. Opt. Soc. Am. B 15 1685
49. Mak W C K, Chu P L and Malomed B A 2004 Phys. Rev. E 69 066610
50. Gubeskys A and Malomed B A 2004 Eur. Phys. J. D 28 283
51. Malomed B A, Mihalache D, Wise F and Torner L 2005 J. Opt. B: Quantum Semiclass. Opt. 7 R53
52. Wang J and Yang J 2008 Phys. Rev. A 77 033834
53. Strecker K E, Partridge G B, Truscott A G and Hulet R G 2002 Nature 417 150
54. Khaykovich L, Schreck F, Ferrari G, Bourdel T, Cubizolles J, Carr L D, Castin Y and Salomon C 2002 Science 256 1290
55. Cornish S L, Thompson S T and Wieman C E 2006 Phys. Rev. Lett. 96 170401
56. Baizakov B B, Malomed B A and Salerno M 2004 Phys. Rev. A 70 053613
57. Merhasin I M and Malomed B A 2004 J. Opt. B: Quantum Semiclass. Opt. 6 S323
58. Merhasin I M and Malomed B A 2004 Phys. Lett. A 327 296
59. Inouye S, Andrews M R, Stenger J, Miesner H J, Stamper-Kurn D M and Ketterle W 1998 Nature 392 51
60. Donley E A, Claussen N R, Cornish S L, Roberts J L, Cornell E A and Wieman C E 2001 Nature 412 295
61. Shchesnovich V S, Malomed B A and Kraenkel R A 2004 Physica D 188 213
62. Shchesnovich V S, Cavalcanti S B and Kraenkel R A 2004 Phys. Rev. A 69 033609
63. Shchesnovich V S and Cavalcanti S B 2005 Phys. Rev. A 71 023607
64. Shchesnovich V S and Cavalcanti S B 2005 J. Phys. A: Math. Gen. 38 6917
65. Salasnich L 2002 Laser Phys. 12 198
66. Salasnich L, Parola A and Reatto L 2002 Phys. Rev. A 65 043614
67. Band Y B, Towers I and Malomed B A 2003 Phys. Rev. A 67 023602
68. Yang J K and Lakoba T I 2007 Stud. Appl. Math. 118 153
69. Chen Z G, Martin H, Eugenieva E D, Xu J J and Yang J K 2005 Opt. Express 13 1816
70. Shi Z and Yang J 2007 Phys. Rev. E 75 056602
71. Baizakov B B, Salerno M and Malomed B A 2003 Europhys. Lett. 63 642
72. Yang J and Musslimani Z H 2003 Opt. Lett. 28 2094
73. Vakhitov M G and Kolokolov A A 1973 Sov. J. Radiophys. Quantum Electron. 16 783
74. Bergé L 1998 Phys. Rep. 303 259
75. Mayteevarunyoo T, Malomed B A, Baizakov B B and Salerno M 2009 Matter-wave vortices and solitons in anisotropic optical lattices Physica D at press