Entanglement detection in hybrid optomechanical systems
Gabriele De Chiara, Mauro Paternostro, G. Massimo Palma

TL;DR
This paper investigates entanglement in a hybrid optomechanical system comprising a BEC and a cavity with a movable mirror, demonstrating how BEC-light correlations can reveal mirror-light entanglement and confirming tripartite entanglement at low temperatures.
Contribution
It introduces a practical method to detect mirror-light entanglement via BEC-light correlations and proves the existence of robust tripartite entanglement in the system.
Findings
Mirror-light entanglement can be inferred from BEC-light quantum correlations.
Tripartite entanglement persists up to a few milli-Kelvin.
A scheme for detecting tripartite entanglement is proposed.
Abstract
We study a device formed by a Bose Einstein condensate (BEC) coupled to the field of a cavity with a moving end-mirror and find a working point such that the mirror-light entanglement is reproduced by the BEC-light quantum correlations. This provides an experimentally viable tool for inferring mirror-light entanglement with only a limited set of assumptions. We prove the existence of tripartite entanglement in the hybrid device, persisting up to temperatures of a few milli-Kelvin, and discuss a scheme to detect it.
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