Compacton matter waves in binary Bose gases under strong nonlinear management
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.