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    Diamagnetic microchip traps for levitated nanoparticle entanglement experiments

    Shafaq Gulzar Elahi1, Martine Schut2,3, Andrew Dana1, Alexey Grinin1, Sougato Bose4, Anupam Mazumdar2, and Andrew Geraci1

    • 1Center for Fundamental Physics, Department of Physics and Astronomy, Northwestern University, 2145 Sheridan Road, Evanston, Illinois, USA
    • 2Van Swinderen Institute for Particle Physics and Gravity, University of Groningen, 9747 AG Groningen, The Netherlands
    • 3Bernoulli Institute for Mathematics, Computer Science and Artificial Intelligence, University of Groningen, 9747 AG Groningen, The Netherlands
    • 4Department of Physics and Astronomy, University College London, London WC1E 6BT, United Kingdom

    Phys. Rev. A 112, 063508 – Published 3 December, 2025

    DOI: https://doi.org/10.1103/qdyh-rbyq

    Abstract

    The quantum gravity mediated entanglement protocol offers a method to probe the quantumness of gravitational interactions at nonrelativistic scales. This protocol leverages the Stern-Gerlach effect to create O(µm) spatial superpositions of two nanodiamonds (mass ∼10−15 kg) with nitrogen-vacancy spins, which are then allowed to interact and become entangled solely through the gravitational interaction. Since electromagnetic interactions such as Casimir-Polder and dipole-dipole interactions dominate at this scale, screening them to ensure the masses interact exclusively via gravity is crucial. In this paper, we propose using magnetic traps based on microfabricated wires, which provide strong gradients with relatively modest magnetic fields to trap nanoparticles for interferometric entanglement experiments. The design consists of a small trap to cool the center-of-mass motion of the nanodiamonds and a long trap with a weak direction suitable for creating macroscopic superpositions. In contrast to permanent-magnet-based long traps, the microfabricated wire-based approach allows fast switching of the magnetic trapping and state manipulation potentials and permits integrated superconducting shielding, which can screen both electrostatic and magnetic interactions between nanodiamonds in a gravitational entanglement experiment. The setup also provides a possible platform for other tests of quantum coherence in macroscopic systems and searches for novel short-range forces.

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