Matter rogue waves

TLDR

Rogue waves can be observed in Bose‑Einstein condensates with positive scattering length when loaded into an optical lattice. The study predicts rogue waves in Bose‑Einstein condensates loaded into a parabolic trap or an optical lattice. The authors supply initial conditions enabling experimental observation of the rogue waves. Numerical simulations show that the lattice greatly amplifies rogue waves, increasing local atomic density by up to tens of times.

Abstract

We predict the existence of rogue waves in Bose-Einstein condensates either loaded into a parabolic trap or embedded in an optical lattice. In the latter case, rogue waves can be observed in condensates with positive scattering length. They are immensely enhanced by the lattice. Local atomic density may increase up to tens times. We provide the initial conditions necessary for the experimental observation of the phenomenon. Numerical simulations illustrate the process of creation of rogue waves.