PRA: Trapped Fermions Escape

are trapped in a confined space by a potential with not too high barriers, they have two options to escape: either by going over the barrier if they have enough energy to do so or by using the quantum mechanical tunneling process and going through the barrier.
In this work we present the efficient implementation of a theoretical method which amongst other processes allows us to study the motion of the fermions and how they escape in an exact way. We reveal that fermions escape over the barrier together while they travel alone when they tunnel through the barrier.