Exact Floquet states of a driven condensate and their stabilities

Journal of Physics B: Atomic, Molecular and Optical Physics

Volumn 41, Issue 9, 2008, Pages

  Hai, Wenhua ^a   Lee, Chaohong ^b   Zhu, Qianquan ^a  

^a HUNAN NORMAL UNIVERSITY   (China)

^b AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

GROUND STATE; LATTICE CONSTANTS; MEAN FIELD THEORY; NONLINEAR EQUATIONS;

EXACT FLOQUET STATES; GROSS-PITAEVSKII EQUATIONS; OPTICAL LATTICE; SPATIOTEMPORAL PERIODIC LASER FIELDS;

BOSE-EINSTEIN CONDENSATION;

EID: 42549145352     PISSN: 09534075     EISSN: 13616455     Source Type: Journal    
DOI: 10.1088/0953-4075/41/9/095301     Document Type: Article

References (44)

1. Fölling F, Gerbier F, Widera A, Mandel O, Gericke T and Bloch I 2005 Nature 434 481
2. Anderson B P and Kasevich M A 1998 Science 282 1686
3. Orzel C, Tuchman A K, Fenselau M L, Yasuda M and Kasevich M A 2001 Science 291 2386
4. Lee C, Alexander T J and Kivshar Yu S 2006 Phys. Rev. Lett. 97 180408
5. Lee C 2004 Phys. Rev. Lett. 93 120406
6. Liu W M, Fan W B, Zheng W M, Liang J Q and Chui S T 2002 Phys. Rev. Lett. 88 170408
7. Chong G, Hai W and Xie Q 2005 Phys. Rev. E 71 016202
8. Ostrovskaya E A and Kivshar Yu S 2004 Phys. Rev. Lett. 93 160405
9. Pachos J K and Knight P L 2003 Phys. Rev. Lett. 91 107902
10. Ionicioiu R and Zanardi P 2002 Phys. Rev. A 66 050301
11. Lee C and Ostrovskaya E A 2005 Phys. Rev. A 72 062321
12. Ovchinnikov Yu B, Müller J H, Doery M R, Vredenbregt E J D, Helmerson K, Rolston S L and Phillips W D 1999 Phys. Rev. Lett. 83 284
13. Choi D I and Niu Q 1999 Phys. Rev. Lett. 82 2022
14. Bronski J C, Carr L D, Deconinck B and Kutz J N 2001 Phys. Rev. Lett. 86 1402
15. Deconinck B, kutz J N, Patterson M S and Warner B W 2003 J. Phys. A: Math. Gen. 36 5431
16. Hai W, Li Y, Xia B and Luo X 2005 Europhys. Lett. 71 28
17. Wu B and Niu Q 2001 Phys. Rev. A 64 061603
18. Bronski J C, Carr L D, Deconinck B, Kutz J N and Promislow K 2001 Phys. Rev. E 63 036612
19. Ruprecht P A, Edwards M, Burnett K and Clark C W 1996 Phys. Rev. A 54 4178
20. Fallani L, De Sarlo L, Lye J E, Modugno M, Saers R, Fort C and Inguscio M 2004 Phys. Rev. Lett. 93 140406
21. Bradley R M, Deconinck B and Kutz J N 2005 J. Phys. A: Math. Gen. 38 1901
22. Deng H, Hai W and Zhu Q 2006 J. Phys. A: Math. Gen. 39 15061
23. Holthaus M and Chaos 2001 Phys. Rev. A 64 011601 R
24. Xie Q and Hai W 2007 Phys. Rev. A 75 015603
25. Eckardt A, Weiss C and Holthaus M 2005 Phys. Rev. Lett. 95 260404
26. Pismen L M 1999 Vortices in Nonlinear Fields (Oxford: Clarendon) p 290
27. Soskin M S and Vasnetsov M V 2001 Progress in Optics vol 42 ed E Wolf (Amsterdam: North-Holland) p 219
28. Madison K W, Chevy F, Wohlleben W and Dalibard J 2000 Phys. Rev. Lett. 84 806
29. Raman C, Abo-Shaeer J R, Vogels J M, Xu K and Ketterle W 2001 Phys. Rev. Lett. 87 210402
30. Sukhorukov A P and Yangirova V V 2005 Proc. SPIE 5949 594906
31. For an example, see Guo B and Pang X 1987 Solitons (Beijing: Science Press) p 243 (in Chinese) (and references therein)
32. Konotop V V and Pacciani P 2005 Phys. Rev. Lett. 94 240405
33. Peres A 1984 Phys. Rev. A 30 1610
34. Gorin T, Prosen T, Seligman T H and Znidaric M 2000 Phys. Rep. 435 33
35. Abdullaev F Kh and Galimzyanov R 2003 J. Phys. B: At. Mol. Opt. Phys. 36 1099
36. Bishop S R and Clifford M J 1996 J. Sound Vib. 189 142
37. Hensinger W K, Heckenberg N R, Milburn G J and Rubinsztein-Dunlop H 2003 J. Opt. B: Quantum Semiclass. Opt. 5 R83
38. Yang J and Jing Z 2008 Chaos Solitons Fractals 35 726
39. Adhikari S K 2003 J. Phys. B: At. Mol. Opt. Phys. 36 1109
40. Onsager L 1949 Nuovo Cimento Suppl. 6 249
41. Penn V 1999 Phys. Rev. B 59 7127
42. Träger D, Fischer R, Neshev D N, Sukhorukov A A, Denz C, Królikowski W and Kivshar Yu S 2006 Opt. Express 14 1913
43. Alexander T J, Desyatnikov A S and Kivshar Yu S 2007 Opt. Lett. 32 1293
44. Strekalov D V, Turlapov A, Kumarakrishnan A and Sleator T 2002 Phys. Rev. A 66 023601