Gap solitons in quasiperiodic optical lattices

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 74, Issue 2, 2006, Pages

  Sakaguchi, Hidetsugu ^a   Malomed, Boris A ^b  

^a KYUSHU UNIVERSITY   (Japan)

^b TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

COLLOIDS; CRYSTAL LATTICES; NONLINEAR EQUATIONS; QUASICRYSTALS;

GAP SOLITONS; OPTICAL LATTICE; QUASICRYSTALLIC TYPE; VORTICAL SOLITONS;

SOLITONS;

EID: 33746912787     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.74.026601     Document Type: Article

References (40)

1. K. E. Strecker, G. B. Partridge, A. G. Truscott, and R. G. Hulet, Nature (London) NATUAS 0028-0836 10.1038/nature747 417, 150 (2002);
2. L. Khaykovich, F. Schreck, G. Ferrari, T. Bourdel, J. Cubizolles, L. D. Carr, Y. Castin, and C. Salomon, Science SCIEAS 0036-8075 10.1126/science. 1071021 296, 1290 (2002).
3. S. L. Cornish, S. T. Thompson, and C. E. Wieman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.170401 96, 170401 (2006).
4. C. J. Pethik and H. Smith, Bose-Einstein Condensation in Dilute Gases (Cambridge University Press, Cambridge, 2002).
5. F. Kh. 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);
6. I. Carusotto, D. Embriaco, and G. C. La Rocca, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.053611 65, 053611 (2002).
7. 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);
8. E. A. Ostrovskaya and Yu. S. Kivshar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.160407 90, 160407 (2003).
9. V. A. Brazhnyi and V. V. Konotop, Mod. Phys. Lett. B MPLBET 0217-9849 10.1142/S0217984904007190 18, 627 (2004).
10. K. M. Hilligsøe, M. K. Oberthaler, and K.-P. Marzlin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.063605 66, 063605 (2002);
11. D. E. Pelinovsky, A. A. Sukhorukov, and Y. S. Kivshar, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.036618 70, 036618 (2004).
12. 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).
13. Th. Anker, M. Albiez, R. Gati, S. Hunsmann, B. Eiermann, A. Trombettoni, and M. K. Oberthaler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94. 020403 94, 020403 (2005).
14. T. J. Alexander, E. A. Ostrovskaya, and Y. S. Kivshar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.040401 96, 040401 (2005).
15. P. G. Kevrekidis, B. A. Malomed, D. J. Frantzeskakis, A. R. Bishop, H. E. Nistazakis, and R. Carretero-Gonzalez, Math. Comput. Simul. MCSIDR 0378-4754 69, 334 (2005).
16. 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, (Kluwer Academic, Dordrecht, 2004), p. 61; also available at http://rsphy2.anu.edu.au/~asd124/Baizakov_2004_61_NonlinearWaves.pdf.
17. H. Sakaguchi and B. A. Malomed, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/37/11/001 37, 2225 (2004);
18. E. A. Ostrovskaya and Y. S. Kivshar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.160405 93, 160405 (2004).
19. P. Xie, Z.-Q. Zhang, and X. Zhang, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.026607 67, 026607 (2003);
20. A. Ferrando, M. Zacarés, P. Fernández de Córdoba, D. Binosi, and J. A. Monsoriu, Opt. Express OPEXFF 1094-4087 11, 452 (2003).
21. A. Ferrando, M. Zacarés, P. Fernández de Córdoba, D. Binosi, and J. A. Monsoriu, Opt. Express OPEXFF 1094-4087 10.1364/OPEX.12. 000817 12, 817 (2004).
22. N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.046602 66, 046602 (2002).
23. J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, Nature (London) NATUAS 0028-0836 10.1038/nature01452 422, 147 (2003).
24. D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.123903 92, 123903 (2004);
25. J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 92.123904 92, 123904 (2004).
26. G. Bartal, O. Manela, O. Cohen, J. W. Fleischer, and M. Segev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.053904 95, 053904 (2005).
27. B. B. Baizakov, M. Salerno, and B. A. Malomed, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-00579-4 63, 642 (2003);
28. J. Yang and Z. H. Musslimani, Opt. Lett. OPLEDP 0146-9592 28, 2094 (2003).
29. H. Sakaguchi and B. A. Malomed, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2005-10295-7 72, 698 (2005).
30. M. A. Kaliteevski, S. Brand, R. A. Abram, T. F. Krauss, R. M. De La Rue, and P. Millar, J. Mod. Opt. JMOPEW 0950-0340 10.1080/095003400416936 47, 1771 (2000);
31. M. Hase, H. Miyazaki, M. Egashira, N. Shinya, K. M. Kojima, and S. I. Uchida, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.214205 66, 214205 (2002);
32. M. A. Kaliteevski, S. Brand, and R. A. Abram, J. Phys.: Condens. Matter JCOMEL 0953-8984 16, 1269 (2004).
33. L. M. Kahn, K. Huang, and D. L. Mills, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.39.12449 39, 12449 (1989).
34. M. Johansson and R. Riklund, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.49.6587 49, 6587 (1994);
35. B. Lindquist, M. Johansson, and R. Riklund, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.50.9860 50, 9860 (1994).
36. P. J. Y. Louis, E. A. Ostrovskaya, and Y. S. Kivshar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.023612 71, 023612 (2005);
37. M. A. Porter and P. G. Kevrekidis, SIAM J. Appl. Dyn. Syst. ZZZZZZ 1536-0040 4, 783 (2005).
38. P. Xie, Z.-Q. Zhang, and X. Zhang, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.026607 67, 026607 (2003).
39. H. Sakaguchi and B. A. Malomed, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/37/7/006 37, 1443 (2004).
40. M. L. Chiofalo, S. Succi, and M. P. Tosi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.7438 62, 7438 (2000).