Emergence of nonlinear behavior in the dynamics of ultracold bosons

Benoit Vermersch (1) , Jean Claude Garreau (1)

1 PhLAM - Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523

We study the evolution of a system of interacting ultracold bosons, which presents nonlinear, chaotic, behaviors in the limit of very large number of particles. Using the spectral entropy as an indicator of chaos and three different numerical approaches : Exact diagonalization, truncated Husimi method and mean-field (Gross-Pitaevskii) approximation, we put into evidence the destructive impact of quantum noise on the emergence of the nonlinear dynamics.

Domaines: Gaz Quantiques [cond-mat.quant-gas]; Physique Quantique [quant-ph]

Benoit Vermersch, Jean Claude Garreau. Emergence of nonlinear behavior in the dynamics of ultracold bosons. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2015, 91, pp.043603. ⟨10.1103/PhysRevA.91.043603⟩. ⟨hal-01110392⟩