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Following up on a recent analysis of two cold atoms in a time-dependentharmonic trap in one dimension, we explore the entanglement entropy of two andthree fermions in the same situation when driven through a parametricresonance. We find that the presence of such a resonance in the two-particlesystem leaves a clear imprint on the entanglement entropy. We show how thesignal is modified by attractive and repulsive contact interactions, and how itremains present for the three-particle system. Additionaly, we extend the workof recent experiments to demonstrate how restricting observation to a limitedsubsystem gives rise to locally thermal behavior.

Dynamics of entanglement entropy of interacting fermions in a 1D driven harmonic trap