Anderson transition of Bogoliubov quasiparticles in the quasiperiodic kicked rotor

Benoit Vermersch (1) , Dominique Delande (2) , Jean Claude Garreau (1)

1 PhLAM - Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523
2 LKB (Jussieu) - Laboratoire Kastler Brossel

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 $\nu\approx1.6$ for non-interacting particles.

Domaines: Physique Quantique [quant-ph]; Gaz Quantiques [cond-mat.quant-gas]; Systèmes désordonnés et réseaux de neurones [cond-mat.dis-nn]

Benoit Vermersch, Dominique Delande, Jean Claude Garreau. Anderson transition of Bogoliubov quasiparticles in the quasiperiodic kicked rotor. 2014. ⟨hal-01073183⟩