Quantum entanglement and teleportation in pulsed cavity optomechanics

TLDR

Entangling a mechanical oscillator with an optical mode is an enticing yet challenging goal in cavity optomechanics. The study proposes a pulsed scheme to generate Einstein‑Podolsky‑Rosen entanglement between a traveling‑wave light pulse and a mechanical oscillator, and quantifies the required high mechanical Qf product for successful implementation. The protocol uses a pump‑probe pulse sequence to verify entanglement and is evaluated under realistic conditions, including mechanical decoherence. Unlike continuous‑wave schemes, the pulsed protocol bypasses stability limits, and the authors identify an optimal parameter regime that works in current state‑of‑the‑art systems.

Abstract

Entangling a mechanical oscillator with an optical mode is an enticing and yet a very challenging goal in cavity optomechanics. Here we consider a pulsed scheme to create Einstein-Podolsky-Rosen-type entanglement between a traveling-wave light pulse and a mechanical oscillator. The entanglement can be verified unambiguously by a pump-probe sequence of pulses. In contrast to schemes that work in a steady-state regime under a continuous-wave drive, this protocol is not subject to stability requirements that normally limit the strength of achievable entanglement. We investigate the protocol's performance under realistic conditions, including mechanical decoherence, in full detail. We discuss the relevance of a high mechanical Qf product for entanglement creation and provide a quantitative statement on which magnitude of the Qf product is necessary for a successful realization of the scheme. We determine the optimal parameter regime for its operation and show it to work in current state-of-the-art systems.