Engineering continuous-variable entanglement in mechanical oscillators with optimal control
Abstract
We demonstrate an optimal quantum control strategy for the deterministic preparation of entangled harmonic oscillator states in trapped ions. The protocol employs dynamical phase modulation of laser-driven Jaynes-Cummings and anti-Jaynes-Cummings interactions. We prepare Two-Mode Squeezed Vacuum (TMSV) states in the mechanical motions of a trapped ion and characterize the states with phase-space tomography. First, we verify continuous-variable entanglement by measuring an Einstein-Podolsky-Rosen entanglement parameter of 0.0132(7), which is below the threshold of 0.25 for Reid's EPR criterion. Second, we perform a continuous-variable Bell test and find a violation of the Clauser-Horne-Shimony-Holt inequality, measuring 2.26(3), which is above the entanglement threshold of 2. We also demonstrate the flexibility of our method by preparing a non-Gaussian entangled oscillator state--a superposition of TMSV states.
Cite
@article{arxiv.2505.20844,
title = {Engineering continuous-variable entanglement in mechanical oscillators with optimal control},
author = {Maverick J. Millican and Vassili G. Matsos and Christophe H. Valahu and Tomas Navickas and Liam J. Bond and Ting Rei Tan},
journal= {arXiv preprint arXiv:2505.20844},
year = {2025}
}
Comments
10 pages, 5 figures