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Entanglement of magnetically levitated massive Schrödinger cat states by induced dipole interaction

Ryan J. Marshman1, Sougato Bose2, Andrew Geraci3, and Anupam Mazumdar4

  • 1Centre for Quantum Computation and Communication Technology, School of Mathematics and Physics, University of Queensland, Brisbane, Queensland 4072, Australia
  • 2Department of Physics and Astronomy, University College London, Gower Street, WC1E 6BT London, United Kingdom
  • 3Center for Fundamental Physics, Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208, USA
  • 4Van Swinderen Institute, University of Groningen, 9747 AG Groningen, The Netherlands

Phys. Rev. A 109, L030401 – Published 28 March, 2024

DOI: https://doi.org/10.1103/PhysRevA.109.L030401

Abstract

Quantum entanglement provides a novel way to test short-distance quantum physics in a nonrelativistic regime. We provide entanglement-based protocols to potentially test the magnetically induced dipole-dipole interaction and the Casimir-Polder potential between the two nanocrystals kept in a Schrödinger cat state. Our scheme is based on the Stern-Gerlach (SG) apparatus, where we can witness the entanglement mediated by these interactions for the nanocrystal mass m∼10−19 kg with a spatial superposition size of order 0.1µm in a trap relying on diamagnetic levitation. We show that it is possible to close the SG interferometer in position and momentum with a modest gradient in the magnetic field.

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