We propose a method for achieving dynamically controllable transport of highly mobile matter-wave solitons in a driven two-dimensional optical lattice. Our numerical analysis based on the mean-field model and the theory based on the time-averaging approach demonstrate that a fast time-periodic rocking of the two-dimensional optical lattice enables efficient stabilization and manipulation of spa...

We consider a lattice model for three-component systems in which the lattice bonds are covered by molecules of type AA, BB, and AB, and the only interactions are between the molecular ends of a common lattice site. The model is equivalent to the standard Ising model, and the coexistence curves for different lattices and/or some specific form of the interactions have been previously investigated...

A method of approximate calculation the magnetization an Ising magnet located in external magnetic field is proposed. This based on using exact or expression for spontaneous same lattice. The uses ratio effective fields clusters one and two lattice nodes. Using proposed a field, dependence temperature magnitude calculated. applied work to solution mean approximation, Beta approximation square l...