Anderson transition of Bogoliubov quasiparticles in the quasiperiodic kicked rotor

Abstract

We study the dynamics of Bogoliubov excitations of a Bose-Einstein condensate in the quasiperiodic kicked rotor. In the weakly interacting regime, the condensate is stable and both the condensate and the excitations undergo a phase transition from a quasilocalized to a diffusive regime. The corresponding critical exponents are identical for the condensate and the excitations, and compare very well with the value $\nu \approx 1.6$ for non-interacting particles.