Abstract:
Over the past several years, the study of Bose-Einstein
condensates (BECs) has become one of the most important areas of atomic
and molecular physics. Their study has begun to yield an increased
understanding of superfluidity and superconductivity, and their
eventual engineering applications also hold great promise. In this
talk, I will discuss my recent research on the macroscopic dynamics of
coherent structures in BECs loaded into lattice and superlattice
potentials, for which I employ methods from dynamical systems and
perturbation theory.