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Nonreciprocal macroscopic entanglement through magnon squeezing in cavity magnomechanics

Ziyad Imara1,*, Khadija El Anouz1,†, İlkay Demir2,3,‡, and Abderrahim El Allati1,§

  • *Contact author: imara.ziyad@etu.uae.ac.com
  • †Contact author: kelanouz@uae.ac.ma
  • ‡Contact author: idemir@cumhuriyet.edu.tr
  • §Contact author: eabderrahim@uae.ac.ma
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Phys. Rev. A 113, 053717 – Published 18 May, 2026

DOI: https://doi.org/10.1103/rl1p-vgj1

Abstract

Cavity magnomechanics has opened a new frontier in quantum electrodynamics, yielding several significant theoretical and experimental results. In this paper, we propose a different theoretical mechanism to achieve nonreciprocal macroscopic entanglement among magnons, photons, and phonons based on magnon squeezing. Specifically, reversing the squeezing phase, namely, θ→θ+π, reverses the frequency shift and the effective dissipation rate simultaneously, producing two experimentally distinct configurations that enable nonreciprocal entanglement. Indeed, in contrast to conventional approaches that control only frequency shifts, we show how precise control of the amplitude and phase of the squeezed mode allows us to obtain a tunable nonreciprocity of entanglement. The magnons resulting from the collective motion of the spin in a macroscopic ferrimagnet become coupled to the microwave photons via magnetic dipole interaction and to the phonons via magnetostrictive interaction. Moreover, we show that the proposed scheme achieves ideal nonreciprocity, which can be optimized by cavity-magnon coupling and bath temperature control. Finally, by using the parameters that are experimentally feasible with current technologies, this work provides promising perspectives for hybrid magnon-based quantum technologies.

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Phys. Rev. A 113, 053717– Published 18 May, 2026
  • Received 15 August 2025
  • Accepted 5 May 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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