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Soliton dynamics at an interface between a uniform medium and a nonlinear optical lattice
Phys. Rev. E 79, 056220 – Published 19 May, 2009
DOI: https://doi.org/10.1103/PhysRevE.79.056220
Abstract
We study trapping and propagation of a matter-wave soliton through the interface between uniform medium and a nonlinear optical lattice. Different regimes for transmission of a broad and a narrow solitons are investigated. Reflections and transmissions of solitons are predicted as a function of the lattice phase. The existence of a threshold in the amplitude of the nonlinear optical lattice, separating the transmission and reflection regimes, is verified. The localized nonlinear surface state, corresponding to the soliton trapped by the interface, is found. Variational approach predictions are confirmed by numerical simulations for the original Gross-Pitaevskii equation with nonlinear periodic potentials.
Article Text
References (27)
- A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
- Y. S. Kivshar, A. M. Kosevich, and O. A. Chubykalo, Phys. Rev. A 41, 1677 (1990).
- Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Opt. Express 14, 1576 (2006).
- P. O. Fedichev, Y. Kagan, G. V. Shlyapnikov, and J. T. M. Walraven, Phys. Rev. Lett. 77, 2913 (1996).
- F. K. Fatemi, K. M. Jones, and P. D. Lett, Phys. Rev. Lett. 85, 4462 (2000).
- M. Theis, G. Thalhammer, K. Winkler, M. Hellwig, G. Ruff, R. Grimm, and J. H. Denschlag, Phys. Rev. Lett. 93, 123001 (2004).
- F. Kh. Abdullaev and M. Salerno, J. Phys. B 36, 2851 (2003).
- H. Sakaguchi and B. A. Malomed, Phys. Rev. E 72, 046610 (2005).
- F. Kh. Abdullaev and J. Garnier, Phys. Rev. A 72, 061605(R) (2005).
- G. Theocharis, P. Schmelcher, P. G. Kevrekidis, and D. J. Frantzeskakis, Phys. Rev. A 72, 033614 (2005).
- J. Belmonte-Beitia, V. M. Perez-Garcia, V. Vekslerchik, and P. J. Torres, Phys. Rev. Lett. 98, 064102 (2007).
- F. K. Abdullaev, A. Gammal, H. L. F. da Luz, and L. Tomio, Phys. Rev. A 76, 043611 (2007).
- Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Opt. Lett. 33, 2173 (2008).
- Yu. V. Bludov and V. V. Konotop, Phys. Rev. A 74, 043616 (2006).
- M. Salerno, V. V. Konotop, and Yu. V. Bludov, Phys. Rev. Lett. 101, 030405 (2008).
- F. Kh. Abdullaev, A. Gammal, M. Salerno, and L. Tomio, Phys. Rev. A 77, 023615 (2008).
- G. Dong and B. Hu, Phys. Rev. A 75, 013625 (2007).
- F. Kh. Abdullaev, A. Gammal, A. M. Kamchatnov, and L. Tomio, Int. J. Mod. Phys. B 19, 3415 (2005).
- F. Kh. Abdullaev, A. A. Abdumalikov, and R. M. Galimzyanov, Phys. Lett. A 367, 149 (2007).
- G. Fibich, Y. Sivan, and M. Weinstein, Physica D 217, 31 (2006); Y. Sivan, G. Fibich, and M. I. Weinstein, Phys. Rev. Lett. 97, 193902 (2006).
- I. L. Garanovich, A. A. Sukhorukov, and Y. S. Kivshar, Phys. Rev. Lett. 100, 203904 (2008).
- Y. V. Kartashov, V. A. Vysloukh, A. Szameit, F. Dreisow, M. Heinrich, S. Nolte, A. Tunnrmann, T. Persch, and L. Torner, Opt. Lett. 33, 1120 (2008).
- A. Gammal, L. Tomio, and T. Frederico, Phys. Rev. A 66, 043619 (2002); A. Gammal, T. Frederico, and L. Tomio, ibid. 64, 055602 (2001).
- D. Anderson, Phys. Rev. A 27, 3135 (1983).
- B. A. Malomed, in Progress in Optics, Vol. 43, edited by E. Wolf (Elsevier, Amsterdam, 2002), p. 71.
- K. E. Strecker, G. B. Patridge, A. G. Truscott, and R. G. Hulet, Nature (London) 417, 150 (2002); L. Khaykovich, F. Schreck, G. Ferrari, T. Bourdel, J. Cubizolles, L. D. Carr, Y. Castin, and C. Salomon, Science 296, 1290 (2002).
- L. P. Pitaevskii and S. Stringari, Bose-Einstein Condensation (Oxford University Press, New York, 2004).