Pulsed quantum interaction between two distant mechanical oscillators

TL;DR

This paper proposes a feasible method for achieving pulsed quantum non-demolition interactions between distant mechanical oscillators using optical or microwave mediators, verified through entanglement analysis.

Contribution

It introduces a novel setup utilizing homodyne measurement and feedforward control to enable quantum interactions between remote mechanical systems.

Findings

Entanglement can be generated despite mechanical bath and propagation loss.

The proposed method is compatible with current optomechanical and electromechanical platforms.

Implementation is feasible with existing technology.

Abstract

Feasible setup for pulsed quantum non-demolition interaction between two distant mechanical oscillators through optical or microwave mediator is proposed. The proposal uses homodyne measurement of the mediator and feedforward control of the mechanical oscillators to reach the interaction. To verify quantum nature of the interaction, we investigate the Gaussian entanglement generated in the mechanical modes. We evaluate it under influence of mechanical bath and propagation loss for the mediator and propose ways to optimize the interaction. Finally, both currently available optomechanical and electromechanical platforms are numerically analyzed. The analysis shows that implementation is already feasible with current technology.