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  • Open Access

Entanglement control in confined two-particle systems: Mass imbalance, trap asymmetry, interaction range, and localized potentials

Flávia P. de Farias Guarezi and Daniel Vieira*

Mateus B. P. Querne

  • *Contact author: daniel.vieira@udesc.br
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APS Open Sci. 1, 000174 – Published 19 October, 2026

DOI: https://doi.org/10.1103/rdby-pn24

Abstract

We present a systematic study of entanglement control in one-dimensional systems of two distinguishable interacting particles in harmonic confinement. Using density matrix renormalization group calculations, we examine how the von Neumann entropy evolves under variations of mass ratio, trap-frequency asymmetry, interaction range, and localized external fields. Our results reveal a consistent picture connecting the real-space density overlap, the redistribution of quantum fluctuations, and the resulting entanglement. Within the parameter regimes investigated, mass imbalance produces more pronounced changes in entanglement than trap-frequency asymmetry. Furthermore, the competition between interaction range and field-induced polarization determines whether short- or long-range correlations dominate. By connecting the von Neumann entropy with measurable quantities such as the density difference Δn(x) and the phase-space products 〈xi2〉〈pxi2〉, we establish experimentally accessible fingerprints of quantum correlation. Our analysis demonstrates how external and geometrical parameters can tune entanglement in confined two-particle models, providing a basis for exploring related control protocols in suitable experimental settings.

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APS Open Sci. 1, 000174– Published 19 October, 2026
Vol. 1
  • Received 5 March 2026
  • Revised 21 August 2026
  • Accepted 6 October 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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