Parametric resonant enhancement of motional entanglement under optimal control: an analytical study

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Hauptverfasser: Horovitz, Gad, Poddubny, Alexander N.
Format: Preprint
Veröffentlicht: 2025
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author Horovitz, Gad
Poddubny, Alexander N.
author_facet Horovitz, Gad
Poddubny, Alexander N.
contents We study theoretically continuous-variable entanglement between the motional degrees of freedom of optically trapped massive particles coupled via the Coulomb interaction, in the presence of a feedback control scheme. We perform a detailed analysis of the parametric resonance induced by temporal modulation of the coupling strength, based on the system's coupled nonlinear, nonhomogeneous dynamical equations. Our model accurately reproduces the numerical findings and provides closed-form expressions for the entanglement degree. We demonstrate that a stationary nonequilibrium entangled state is realized as a result of the competition between parametric gain and decoherence.
format Preprint
id arxiv_https___arxiv_org_abs_2510_18427
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Parametric resonant enhancement of motional entanglement under optimal control: an analytical study
Horovitz, Gad
Poddubny, Alexander N.
Quantum Physics
We study theoretically continuous-variable entanglement between the motional degrees of freedom of optically trapped massive particles coupled via the Coulomb interaction, in the presence of a feedback control scheme. We perform a detailed analysis of the parametric resonance induced by temporal modulation of the coupling strength, based on the system's coupled nonlinear, nonhomogeneous dynamical equations. Our model accurately reproduces the numerical findings and provides closed-form expressions for the entanglement degree. We demonstrate that a stationary nonequilibrium entangled state is realized as a result of the competition between parametric gain and decoherence.
title Parametric resonant enhancement of motional entanglement under optimal control: an analytical study
topic Quantum Physics
url https://arxiv.org/abs/2510.18427