**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**30172

##### Solitons in Nonlinear Optical Lattices

**Authors:**
Tapas Kumar Sinha,
Joseph Mathew

**Abstract:**

**Keywords:**
Double well model,
nonlinear optical lattice,
Solitons,
tunneling.

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1060719

**References:**

[1] Klaus Kirsten And David J Toms ," Bose-Einstein Condensation Of Atomic Gases In A General Harmonic-Oscillator Confining Potential Trap" In Phys. Rev. A 54, 1996, 4188-4206

[2] P. O. Fedichev, Yu. Kagan, G. V. Shlyapnikov, and J. T. M. Walraven," Influence of Nearly Resonant Light on the Scattering Length in Low- Temperature Atomic Gases"in Phys. Rev. Lett. 77, 1996, 2913-2916

[3] F. Kh. Abdullaev, A. Gammal, H. L. F. da Luz, and Lauro Tomio "Dissipative dynamics of matter-wave solitons in a nonlinear optical lattice" in Phys. Rev. A 76, 2007, 043611-043621.

[4] C. Sias, H. Lignier, Y. P. Singh, A. Zenesini, D. Ciampini, O. Morsch, and E. Arimondo "Observation of Photon-Assisted Tunneling in Optical Lattices" in Phys. Rev. Lett. 100, 2008, 040404 -040408.

[5] Hidetsugu Sakaguchi and Boris A. Malomed "Matter-wave solitons in nonlinear optical lattices" in Phys. Rev. E 72, 2005,046610 -1-

[6] J. A. Krumhansl and J. R. Schrieffer "Dynamics and Statistical Mechanics of a one-dimensional model Hamiltonian for structural phase transitions" in Physical Review B, Vol 11, 1975, pp 3535-3545.

[7] J. A. Krumhansl and J. R. Schrieffer "Dynamics and Statistical Mechanics of a one-dimensional model Hamiltonian Physical Review B, Vol 11, 1975, pp 3535-3545.

[8] Julio Sanchez-Curto, Pedro Chamotrro-Posada, and Graham S. McDonald "Dark Solitons at nonlinear interfaces" in Optics Letters Vol. 35, Issue 9, 2010, pp 1347-1349.

[9] J. Belmonte-Beitia and J. Cuevas "Existence of dark solitons in a class of stationary nonlinear Schrodinger equations with periodically modulated nonlinearity and periodic asymptotics" J. Mathematical Physics, 52, 2011, 032702-032711.

[10] H. L. F. da Luz, F. Kh. Abdullaev, A. Gammal, M. Salerno, and Lauro Tomio "Matter-wave two-dimensional solitons in crossed linear and nonlinear optical lattices" Physical Review A 82, 2010, pp 043618-1- 043618-8.

[11] S. Pitois, G. Millot, and S. Wabnitz, Phys. Rev. Lett. 81, 1998, pp1409- 1412.

[12] S. Burger, K. Bongs, S. Dettmer, W. Ertmer, K, Sengstock, A. Sanpera, G.V. Shlyapnikov, and M. Lewnstein " Dark Solitons in Bose Einstein Condensates" Phys. Rev. Lett, 83, 1999, pp 5198-5201.

[13] J. Denschlag et. al " Generating Solitons by phase engineering of a Bose-Einstein condensate" Science 287, 2000, pp 97-101.

[14] Michael Albiez, Rudolf Gati, Jonas Folling, Stefan Hunsmann, Matteo Cristiani, and Markus K. Oberthaler "Direct Observation of Tunneling and Nonlinear Self-Trapping in a Single Bosonic Josephson Junction", Phys. Rev. Lett. 95, 2005, pp 010402-1-010402-4.

[15] Sk Golam Ali and B. Talukdar " Coupled matter-wave solitons in optical lattices" in Annals of Physics, Vo. 324, Issue 6, 2009, pp 1194-1210.

[16] A. Kobyakov, S. Darmanyan, T. Pertsch, and F. Lederer "Stable discrete domain walls and quasirectangular solitons in quadratically nonlinear waveguide arrays", JOSAB, Vol. 16, Issue 10, 1999, pp 1737-1742.

[17] Mason A. Porter, "Experimental Results Related to DNLS Equations" in Springer Tracts in Modern Physics, Vol. 232/2009, 2009, pp 175-189.