Dynamics of the Fundamental Matter-wave Solitons in a Time-modulated Two-dimensional Quasiperiodic Optical Lattice

Abstract

By means of the variational approximation (VA) and systematic simulations, we study dynamics and stability boundaries for fundamental solitons in a two-dimensional (2D) self-attracting Bose-Einstein condensate (BEC), trapped in an quasiperiodic optical lattice (OL), with the amplitude subject to periodic time modulation (the modulation frequency, ω. Regions of stability of the solitons against the collapse and decay are identified in the space of the model’s parameters.