Localization transition in weakly-interacting Bose superfluids in one-dimensional quasiperdiodic lattices

Samuel Lellouch (1) , Laurent Sanchez-Palencia (1)

1 Laboratoire Charles Fabry / Optique atomique

We study the localization of collective pair excitations in weakly-interacting Bose superfluids in one-dimensional quasiperiodic lattices. The localization diagram is first determined numerically. For intermediate interaction and quasiperiodic amplitude we find a sharp localization transition, with extended low-energy states and localized high-energy states. We then develop an analytical treatment, which allows us to quantitatively map the localization transition into that of an effective multi-harmonic quasiperiodic system.

Domaines: Gaz Quantiques [cond-mat.quant-gas]

Samuel Lellouch, Laurent Sanchez-Palencia. Localization transition in weakly-interacting Bose superfluids in one-dimensional quasiperdiodic lattices. 2014. ⟨hal-01025942v1⟩