The proposal is devoted to the investigation of nonlinear management of electromagnetic waves in optical systems and matter waves in Bose-Einstein condensates. The problems te be addressed include: investigation of processes of modulational instability in systems with a strong nonlinearity management; developments of the theory of surface states in nonlinear optical lattices and photonic crystals; control of tunneling in multi-well trap potentials for the condensates with the temporal management of an atomic scattering length and the analysis of possibility for creation of an atomic transistor in such system; dynamical stabilization of multidimensional multi-component condensates by means of nonlinearity management; study of the properties of localized states in condenstaes with a spatial management of nonlinearity; derivation of nonlinear lattice models for the description of a dipolar condensates in a deep optical lattices; the investigation of existence of stable localized states in the paritry-temporal symmetric nonlinear optical lattices.
Call for proposal
See other projects for this call
Funding SchemeMC-IIF - International Incoming Fellowships (IIF)