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Compacton matter waves in binary Bose gases under strong nonlinear management

F. Kh. AbdullaevDepartment of Physics, Kulliyyah of Science, International Islamic University Malaysia, 25200 Kuantan, Pahang, MalaysiaM. S. A. HadiDepartment of Physics, Kulliyyah of Science, International Islamic University Malaysia, 25200 Kuantan, Pahang, MalaysiaMario SalernoDipartimento di Fisica “E.R. Caianiello”, CNISM and INFN–Gruppo Collegato di Salerno, Universitá di Salerno, Via Giovanni Paolo II, I-84084 Fisciano (SA), ItalyBakhram UmarovDepartment of Physics, Kulliyyah of Science, International Islamic University Malaysia, 25200 Kuantan, Pahang, Malaysia
2014en
ABI

Аннотация

The existence of compacton matter waves in binary mixtures of quasi-one-dimensional Bose-Einstein condensates in deep optical lattices, and in the presence of nonlinearity management, is demonstrated. For this, we derive an averaged vector discrete nonlinear Schr\"odinger equation (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 and their dependence on the inter- and intraspecies scattering lengths investigated. We show that under proper management conditions, compactons can be very robust excitations that can emerge spontaneously from generic initial conditions. A possible experimental setting for compacton observation is also discussed.

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