| I will consider analogies and differences between the quantum transport of electrons in semiconductor superlattices and ultracold atoms in optical lattices. In particular, I will explore how nonlinear interactions between the particles modify the underlying single-particle dynamics, thereby generating new collective phenomena ranging from the fragmentation of Bose-Einstein condensates to chaotic charge domain dynamics in superlattices. Finally, I will investigate how such interactions affect the behaviour of ultracold atoms approaching, or trapped near, micro-engineered semiconductor surface structures. |
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