We study soliton dynamics in a system of two linearly coupled discrete nonlinear Schrodinger equations, which describe the dynamics of a two-component Bose gas, coupled by an electromagnetic field, and confined in a strong optical lattice. When the nonlinear coupling strengths are equal, we use a unitary transformation to remove the linear coupling terms, and show that the existing soliton solutions oscillate from one species to the other. When the nonlinear coupling strengths are different, the soliton dynamics is numerically investigated and the findings are compared to the results of an effective two-mode model. The case of two linearly coupled Ablowitz-Ladik equations is also briefly discussed. (C) 2009 IMACS. Published by Elsevier B.V. All rights reserved.
Soliton dynamics in linearly coupled discrete nonlinear Schrodinger equations / Trombettoni, A; Nistazakis, He; Rapti, Z; Frantzeskakis, Dj; Kevrekidis, Pg. - In: MATHEMATICS AND COMPUTERS IN SIMULATION. - ISSN 0378-4754. - 80:4(2009), pp. 814-824. [10.1016/j.matcom.2009.08.033]
Soliton dynamics in linearly coupled discrete nonlinear Schrodinger equations
Trombettoni, A;
2009-01-01
Abstract
We study soliton dynamics in a system of two linearly coupled discrete nonlinear Schrodinger equations, which describe the dynamics of a two-component Bose gas, coupled by an electromagnetic field, and confined in a strong optical lattice. When the nonlinear coupling strengths are equal, we use a unitary transformation to remove the linear coupling terms, and show that the existing soliton solutions oscillate from one species to the other. When the nonlinear coupling strengths are different, the soliton dynamics is numerically investigated and the findings are compared to the results of an effective two-mode model. The case of two linearly coupled Ablowitz-Ladik equations is also briefly discussed. (C) 2009 IMACS. Published by Elsevier B.V. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.