https://doi.org/10.1140/epjd/s10053-025-01055-1
Regular Article – Quantum Optics
Quadratically enhancing optomechanical entanglement via dark mode control
1
Department of Physics, College of Sciences, University of Bisha, 61922, Bisha, Saudi Arabia
2
Department of Physics, Faculty of Science, Al-Azhar University, 71524, Assiut, Egypt
3
Department of Physics, Faculty of Science, University of Ngaoundere, P.O. Box 454, Ngaoundere, Cameroon
4
Stellenbosch Institute for Advanced Study (STIAS), Wallenberg Research Centre at Stellenbosch University, 7600, Stellenbosch, South Africa
5
Department of Physics, College of Sciences, Umm Al-Qura University, 24382, Makkah, Saudi Arabia
6
Department of Mathematics, College of Science and Humanities in Al-kharj, Prince Sattam bin Abdulaziz University, 11942, Al-Kharj, Saudi Arabia
Received:
25
April
2025
Accepted:
19
August
2025
Published online:
1
November
2025
We propose a scheme to enhance quantum entanglement in an optomechanical system consisting of two mechanically coupled mechanical resonators, which are driven by a common electromagnetic field. Each mechanical resonator is linearly and quadratically coupled to the electromagnetic field. Moreover, the mechanical coupling between the resonators is modulated through a given phase that allows interference control in our structure. By tuning this phase, our system exhibits interference like-structure which is reminiscent of bright and dark mode features. The breaking of the dark mode via the phase adjustment leads to an entanglement generation, which is greatly enhanced through the quadratic coupling. Furthermore, the generated entanglement is robust enough against thermal noise and this resilience is improved when the quadratic coupling is accounted. Our work provides a way to enhance quantum entanglement via quadratic coupling which is assisted by interference control. Such quantum resources can be useful for quantum information processing, quantum computing, and other numerous quantum tasks.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

