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

J. R. McKenney; W. J. Porter; J. E. Drut

doi:10.1051/epjconf/201817503002

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arXiv · 1709.09981

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

J. R. McKenney·W. J. Porter·J. E. Drut

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Abstract

Following up on a recent analysis of two cold atoms in a time-dependent harmonic trap in one dimension, we explore the entanglement entropy of two and three fermions in the same situation when driven through a parametric resonance. We find that the presence of such a resonance in the two-particle system leaves a clear imprint on the entanglement entropy. We show how the signal is modified by attractive and repulsive contact interactions, and how it remains present for the three-particle system. Additionaly, we extend the work of recent experiments to demonstrate how restricting observation to a limited subsystem gives rise to locally thermal behavior.

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J. R. McKenney, W. J. Porter, J. E. Drut. 2017-09-26. Dynamics of entanglement entropy of interacting fermions in a 1D driven harmonic trap. https://doi.org/10.1051/epjconf%2F201817503002

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