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

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

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 sy...

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Main Authors: McKenney Joshua R., Porter William J., Drut Joaquín E.
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:EPJ Web of Conferences
Online Access:https://doi.org/10.1051/epjconf/201817503002
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spelling doaj-f60c38b3751249e2baf24e3217da0cf62021-08-02T20:06:45ZengEDP SciencesEPJ Web of Conferences2100-014X2018-01-011750300210.1051/epjconf/201817503002epjconf_lattice2018_03002Dynamics of entanglement entropy of interacting fermions in a 1D driven harmonic trapMcKenney Joshua R.Porter William J.Drut Joaquín E.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.https://doi.org/10.1051/epjconf/201817503002
collection DOAJ
language English
format Article
sources DOAJ
author McKenney Joshua R.
Porter William J.
Drut Joaquín E.
spellingShingle McKenney Joshua R.
Porter William J.
Drut Joaquín E.
Dynamics of entanglement entropy of interacting fermions in a 1D driven harmonic trap
EPJ Web of Conferences
author_facet McKenney Joshua R.
Porter William J.
Drut Joaquín E.
author_sort McKenney Joshua R.
title Dynamics of entanglement entropy of interacting fermions in a 1D driven harmonic trap
title_short Dynamics of entanglement entropy of interacting fermions in a 1D driven harmonic trap
title_full Dynamics of entanglement entropy of interacting fermions in a 1D driven harmonic trap
title_fullStr Dynamics of entanglement entropy of interacting fermions in a 1D driven harmonic trap
title_full_unstemmed Dynamics of entanglement entropy of interacting fermions in a 1D driven harmonic trap
title_sort dynamics of entanglement entropy of interacting fermions in a 1d driven harmonic trap
publisher EDP Sciences
series EPJ Web of Conferences
issn 2100-014X
publishDate 2018-01-01
description 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.
url https://doi.org/10.1051/epjconf/201817503002
work_keys_str_mv AT mckenneyjoshuar dynamicsofentanglemententropyofinteractingfermionsina1ddrivenharmonictrap
AT porterwilliamj dynamicsofentanglemententropyofinteractingfermionsina1ddrivenharmonictrap
AT drutjoaquine dynamicsofentanglemententropyofinteractingfermionsina1ddrivenharmonictrap
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