#17 Diving into Chaos and disorder with cold atoms

In the presence of disorder, quantum systems present an absence of diffusion, thus becoming localised – this is the celebrated Anderson localisation. An alternative setting, easier to control, is the case of quasi-periodic systems.

One important physical system where this can be implemented is a Bose-Einstein Condensate (BEC). Since BECs present an intrinsic non-linear behaviour emerging from the inter-atomic interactions, new phenomena can appear which are not observable in other quantum systems.

In particular, with quasi-periodic potentials, several localised BECs can be perfectly engineered, and interaction between its atoms promoted. What complex dynamics will we observe? And will we truly dive into chaos?

Requirements: some mild knowledge on mathematical and numerical methods