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 multiharmonic quasiperiodic system.

Domains: Quantum Gases [cond-mat.quant-gas]

Samuel Lellouch, Laurent Sanchez-Palencia. Localization transition in weakly-interacting Bose superfluids in one-dimensional quasiperdiodic lattices. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2014, 90, pp.061602(R). ⟨10.1103/PhysRevA.90.061602⟩. ⟨hal-01025942v2⟩