Dissipatively driven non-Gaussian mechanical entanglement and remote preparation of motional Schrödinger cat states
Phys. Rev. A 112, 043707 – Published 6 October, 2025
DOI: https://doi.org/10.1103/rm6d-49zs
Abstract
In this paper, we propose a driven-dissipative scheme for generating non-Gaussian entangled mechanical states and consider the remote preparation of motional Schrödinger cat states via mechanical entanglement. The system under our study consists of a cavity optomechanical setup with two frequency-mismatched mechanical oscillators simultaneously coupled to a bichromatically driven cavity field. We show that under appropriate conditions, an effective Hamiltonian for nondegenerate parametric down-conversion involving the two mechanical oscillators and the cavity field can be engineered. We demonstrate analytically and numerically that the cavity dissipation drives the mechanical oscillators into a steady-state non-Gaussian entangled state. The properties of the mechanical state, including non-Gaussianity, Wigner negativity, entanglement, and quantum steering, are investigated in detail. We further reveal that through the non-Gaussian mechanical entanglement, the remote preparation of the Schrödinger cat states of one mechanical oscillator can be achieved by coupling the other one to an auxiliary probe cavity and homodyning the output of the probe cavity. We also discuss the robustness of the mechanical states against thermal fluctuations. Our scheme provides a feasible approach for the dissipative and remote preparation of non-Gaussian mechanical nonclassical states.
