Anderson transition of Bogoliubov quasiparticles in the quasiperiodic kicked rotor

TL;DR

This paper investigates the phase transition behavior of Bogoliubov quasiparticles in a Bose-Einstein condensate subjected to a quasiperiodic kicked rotor, revealing critical exponents consistent with non-interacting particles.

Contribution

It demonstrates the stability of the condensate and quasiparticles in the weakly interacting regime and identifies a shared critical exponent for the phase transition.

Findings

Condensate and excitations undergo a transition from quasilocalized to diffusive regimes.

Critical exponents for both are approximately 1.6, matching non-interacting particles.

The condensate remains stable in the weakly interacting regime.

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