Spin-induced multipartite steady-state entanglement of motional modes in hexagonal boron nitride membranes

• URL: http://arxiv.org/abs/2607.22855v1
• Date: Fri, 24 Jul 2026 18:56:52 GMT
• Title: Spin-induced multipartite steady-state entanglement of motional modes in hexagonal boron nitride membranes
• Abstract summary: Three high-quality-factor mechanical modes of a hBN membrane monolayer are coupled to a common optically addressable spin defect.<n>We show that this coupling induces an effective phonon-phonon interaction in the dispersive regime.<n>We also investigate the effect of coupling strength on purity and entanglement.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this paper, we focus on a scheme in which three high-quality-factor mechanical modes of a hexagonal boron nitride (hBN) membrane monolayer are coupled to a common optically addressable spin defect present in the membrane via magnetic field interaction. We show that this coupling induces an effective phonon-phonon interaction in the dispersive regime and under appropriate magnetic field and microwave modulation. We derive the Langevin-Heisenberg equations of motion for vibrational modes to analyze optimal parameter regimes for reaching a physically stable system. We also investigate the effect of coupling strength on purity and entanglement. Our results demonstrate that bipartite and genuinely tripartite steady-state entanglement between different vibrational modes of hBN may be achieved in a broad spectrum of experimental parameters. This study has the potential to enable scalability to be implemented for the generation of two-dimensional continuous-variable cluster states for universal quantum computation.

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