NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2015, 6 (6), P. 742–750
Matter wave compactons in deep optical lattices with strong nonlinearity management
M. Salerno – Dipartimento di Fisica “E.R. Caianiello”, CNISM and INFN – Gruppo Collegato di Salerno, Università di Salerno, Via Giovanni Paolo II, 84084 Fisciano (SA), Italy; email@example.com
F. Kh. Abdullaev – Deparment of Physics, Kulliyyah of Science, International Islamic University Malaysia, 25200 Kuantan, Pahang, Malaysia
Compacton matter waves are considered in Bose-Einstein condensates (BEC) and in binary BEC mixtures, trapped in deep optical lattices in the presence of strong and rapid periodic time modulations of the atomic scattering length, are considered. For this, we derive vector averaged discrete nonlinear Schrodinger equations (DNLSE) and show that compacton solutions of dierent types can exist as stable excitations. Stability properties are studied by linear analysis and by direct numerical integrations of the DNLSE system.
Keywords: Bose-Einstein condensates, wave compactons, solitons, nonlinear Schrödinger equation.
PACS 42.65.-k, 42.81.Dp, 03.75.Lm