Stability limits for two-dimensional matter-wave solitons in a time-modulated quasi-one-dimensional optical lattice

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 76, Issue 5, 2007, Pages

  Mayteevarunyoo, Thawatchai ^a,b   Malomed, Boris A ^b   Krairiksh, Monai ^c  

^a MAHANAKORN UNIVERSITY OF TECHNOLOGY   (Thailand)

^b TEL AVIV UNIVERSITY   (Israel)

^c KING MONGKUT'S INSTITUTE OF TECHNOLOGY LADKRABANG   (Thailand)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOSE-EINSTEIN CONDENSATION; DIFFERENTIAL EQUATIONS; FREQUENCY MODULATION; LIGHT MODULATION; OPTICAL WAVEGUIDES;

GROSS-PITAEVSKII EQUATION; MATTER-WAVE SOLITONS; PERIODIC TIME MODULATION; VARIATIONAL APPROXIMATION;

SOLITONS;

EID: 36148991451     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.76.053612     Document Type: Article

References (57)

1. O. Morsch and M. Oberthaler, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.78.179 78, 179 (2006).
2. B. B. Baizakov, B. A. Malomed, and M. Salerno, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-00579-4 63, 642 (2003)
3. J. Yang and Z. H. Musslimani, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.28.002094 28, 2094 (2003)
4. Z. H. Musslimani and J. Yang, J. Opt. Soc. Am. B JOBPDE 0740-3224 10.1364/JOSAB.21.000973 21, 973 (2004).
5. N. K. Efremidis, J. Hudock, D. N. Christodoulides, J. W. Fleischer, O. Cohen, and M. Segev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91. 213906 91, 213906 (2003).
6. B. B. Baizakov, M. Salerno, and B. A. Malomed, in Nonlinear Waves: Classical and Quantum Aspects, edited by, F. Kh. Abdullaev, and, V. V. Konotop, pp. 61-80 (Kluwer Academic, Dordrecht, 2004)
7. available online at http://rsphy2.anu.edu.au/~asd124/ Baizakov_2004_61_NonlinearWaves.pdf
8. B. B. Baizakov, B. A. Malomed, and M. Salerno, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.053613 70, 053613 (2004).
9. D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C. Crasovan, and L. Torner, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.055603 70, 055603 (R) (2004).
10. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.093904 93, 093904 (2004).
11. B. B. Baizakov, B. A. Malomed, and M. Salerno, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.066615 74, 066615 (2006).
12. D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. V. Kartashov, L.-C. Crasovan, and L. Torner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.023902 95, 023902 (2005).
13. C. J. Pethik and H. Smith, Bose-Einstein Condensation in Dilute Gases (Cambridge University Press, Cambridge, UK, 2002).
14. F. K. Abdullaev, B. B. Baizakov, S. A. Darmanyan, V. V. Konotop, and M. Salerno, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.043606 64, 043606 (2001)
15. I. Carusotto, D. Embriaco, and G. C. La Rocca, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.053611 65, 053611 (2002).
16. B. B. Baizakov, V. V. Konotop, and M. Salerno, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/35/24/312 35, 5105 (2002)
17. E. A. Ostrovskaya and Yu. S. Kivshar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.160407 90, 160407 (2003).
18. K. Winkler, G. Thalhammer, F. Lang, R. Grimm, J. H. Denschlag, A. J. Daley, A. Kantian, H. P. Büchler, and P. Zoller, Nature (London) NATUAS 0028-0836 10.1038/nature04918 441, 853 (2006).
19. B. Eiermann, Th. Anker, M. Albiez, M. Taglieber, P. Treutlein, K.-P. Marzlin, and M. K. Oberthaler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.230401 92, 230401 (2004).
20. E. A. Ostrovskaya and Yu. S. Kivshar, Opt. Express OPEXFF 1094-4087 10.1364/OPEX.12.000019 12, 19 (2004)
21. E. A. Ostrovskaya and Yu. S. Kivshar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.160405 93, 160405 (2004).
22. H. Sakaguchi and B. A. Malomed, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/37/11/001 37, 2225 (2004).
23. C. Lou, X. Wang, J. Xu, Z. Chen, and J. Yang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.213903 98, 213903 (2007).
24. B. A. Malomed, Soliton Management in Periodic Systems (Springer, New York, 2006).
25. J. J. García-Ripoll and V. M. Pérez-García, and P. Torres, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.1715 83, 1715 (1999)
26. J. J. G. Ripoll and V. M. Pérez-García, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.2220 59, 2220 (1999)
27. F. Kh. Abdullaev and J. Garnier, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.053604 70, 053604 (2004)
28. F. Kh. Abdullaev, R. M. Galimzyanov, M. Brtka, and R. A. Kraenkel, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/37/17/009 37, 3535 (2004).
29. F. Kh. Abdullaev and R. Galimzyanov, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/36/6/302 36, 1099 (2003)
30. B. Baizakov, G. Filatrella, B. Malomed, and M. Salerno, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.036619 71, 036619 (2005).
31. M. Owner-Petersen and A. Goncharov, J. Opt. Soc. Am. A JOAOD6 0740-3232 10.1364/JOSAA.19.000537 19, 537 (2002)
32. 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)
33. H. Saito and M. Ueda, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.040403 90, 040403 (2003)
34. G. D. Montesinos, V. M. Perez-Garcia, and P. J. Torres, Physica D PDNPDT 0167-2789 10.1016/j.physd.2003.12.001 191, 193 (2004)
35. G. D. Montesinos, V. M. Perez-Garcia, and H. Michinel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.133901 92, 133901 (2004).
36. M. Trippenbach, M. Matuszewski, and B. A. Malomed, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10468-x 70, 8 (2005)
37. M. Matuszewski, E. Infeld, B. A. Malomed, and M. Trippenbach, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.050403 95, 050403 (2005).
38. 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).
39. A. Gubeskys, B. A. Malomed, and I. M. Merhasin, Stud. Appl. Math. SAPMB6 0022-2526 10.1111/j.1467-9590.2005.00328.x 115, 255 (2005).
40. T. Mayteevarunyoo and B. A. Malomed, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.033616 74, 033616 (2006).
41. J. H. Denschlag, J. E. Simsarian, H. Häffner, C. McKenzie, A. Browaeys, D. Cho, K. Helmerson, S. L. Rolston, and W. D. Phillips, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/35/14/307 35, 3095 (2002).
42. K. Staliunas, R. Herrero, and G. J. de Valcárcel, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.065603 73, 065603 (R) (2006).
43. K. Staliunas, R. Herrero, and G. J. de Valcárcel, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.011604 75, 011604 (R) (2007).
44. L. Bergé, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(97)00092- 6 303, 259 (1998).
45. B. B. Baizakov and M. Salerno, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.013602 69, 013602 (2004).
46. I. Bloch and M. Greiner, Adv. At., Mol., Opt. Phys. 52, 1 (2005). 1049-250X
47. B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, J. Opt. B: Quantum Semiclassical Opt. JOBOFD 1464-4266 10.1088/1464-4266/7/5/R02 7, R53 (2005).
48. Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic Press, San Diego, 2003).
49. U. Dorner, P. Fedichev, D. Jaksch, M. Lewenstein, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.073601 91, 073601 (2003).
50. G. N. Burlak and A. B. Klimov, e-print arXiv:0704.3997.
51. M. G. Vakhitov and A. A. Kolokolov, Radiophys. Quantum Electron. RPQEAC 0033-8443 10.1007/BF01031343 16, 783 (1973).
52. M. Desaix, D. Anderson, and M. Lisak, J. Opt. Soc. Am. B 8, 2082 (1991). 0740-3224
53. S. K. Adhikari and B. A. Malomed, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/78/50003 78, 50003 (2007).
54. H. Sakaguchi and B. A. Malomed, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/37/7/006 37, 1443 (2004).
55. B. J. Dabrowska, E. A. Ostrovskaya, and Y. S. Kivshar, J. Opt. B: Quantum Semiclassical Opt. JOBOFD 1464-4266 10.1088/1464-4266/6/10/007 6, 423 (2004).
56. L. Khaykovich and B. A. Malomed, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.023607 74, 023607 (2006).
57. J. Yang and T. I. Lakoba, Stud. Appl. Math. 118, 153 (2007). 0022-2526