Matter wave compactons in deep optical lattices with strong nonlinearity management
https://doi.org/10.17586/2220-8054-2015-6-6-742-750
Abstract
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 Schr¨odinger equations (DNLSE) and show that compacton solutions of different types can exist as stable excitations. Stability properties are studied by linear analysis and by direct numerical integrations of the DNLSE system.
Supporting agencies: MS acknowledge partial support from the Ministero dellIstruzione, dellUniversit e della Ricerca (MIUR) through a PRIN (Programmi di Ricerca Scientifica di Rilevante Interesse Nazionale) 2010 - 2011 initiative (grant # 2010HXAW77-005).
About the Authors
M. Salerno
Dipartimento di Fisica \E.R. Caianiello", CNISM and INFN - Gruppo Collegato di Salerno, Universit`a di Salerno
Italy
Italy
Via Giovanni Paolo II, 84084 Fisciano (SA)
F. Kh. Abdullaev
Deparment of Physics, Kulliyyah of Science, International Islamic University Malaysia
Malaysia
Malaysia
25200 Kuantan, Pahang
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Review
For citations:
Salerno M., Abdullaev F. Matter wave compactons in deep optical lattices with strong nonlinearity management. Nanosystems: Physics, Chemistry, Mathematics. 2015;6(6):742-750. https://doi.org/10.17586/2220-8054-2015-6-6-742-750
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