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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2018-01-01
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| Series: | EPJ Web of Conferences |
| Online Access: | https://doi.org/10.1051/epjconf/201817503002 |
| _version_ | 1818655756019302400 |
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| author | McKenney Joshua R. Porter William J. Drut Joaquín E. |
| author_facet | McKenney Joshua R. Porter William J. Drut Joaquín E. |
| author_sort | McKenney Joshua R. |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-17T03:14:44Z |
| format | Article |
| id | doaj.art-f60c38b3751249e2baf24e3217da0cf6 |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-12-17T03:14:44Z |
| publishDate | 2018-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-f60c38b3751249e2baf24e3217da0cf62022-12-21T22:05:44ZengEDP 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 |
| 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 |
| title | 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_short | 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 |
| url | https://doi.org/10.1051/epjconf/201817503002 |
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