Preparation and Verification of Two-Mode Mechanical Entanglement Through Pulsed Optomechanical Measurements

TL;DR

This paper presents a protocol to generate and verify bipartite Gaussian entanglement between two mechanical modes using pulsed optomechanical measurements, without needing the resolved sideband regime or low thermal phonon occupancy.

Contribution

It introduces a novel method for creating and verifying mechanical entanglement with short optical pulses, applicable under less restrictive experimental conditions.

Findings

Entanglement can be generated in less than a mechanical period.

The protocol is robust to deviations in mechanical frequencies.

Verification does not require the resolved sideband regime.

Abstract

We propose a protocol how to generate and verify bipartite Gaussian entanglement between two mechanical modes coupled to a single optical cavity, by means of short optical pulses and measurement. Our protocol requires neither the resolved sideband regime, nor low thermal phonon occupancy, and allows the generation and verification of quantum entanglement in less than a mechanical period of motion. Entanglement is generated via effective two-mode mechanical squeezing through conditioning position measurements. We study the robustness of entanglement to experimental deviations in mechanical frequencies and optomechanical coupling rates.