By: Helena Cruz
From: Centro de Física Teórica e Computacional, Complexo Interdisciplinar, Av. Prof. Gama Pinto, 2, Lisboa, 1649-003, Portugal
At: Complexo Interdisciplinar, Anfiteatro
In this talk we will briefly overview the treatment of single-component Bose-Einstein condensates (BECs), loaded into optical lattices (OLs), in the mean-field approximation. The generalization of this approach to multicomponent mixtures showed that the existence of localized modes is a generic property of those systems. The types and properties of such modes will be overviewed. We will present a model of a binary mixture, reducing the 3D to a 1D problem, and deriving the coupled Gross-Pitaevskii equations that describe the evolution of the system. We will present our work, which shows that two-component BECs embedded in OLs allow the existence of novel types of coupled localized modes, not previously reported. We will explain the algorithm used to find such modes and its dynamical behaviour will be analysed. We apply our results to an 87Rb spinor condensate, both in a magnetic and in an optical trap.