Light-Atoms-Mirror Entanglement in an Optical Cavity

We propose a scheme for the realization of a hybrid, strongly quantum-correlated system formed of an atomic ensemble surrounded by a high-finesse optical cavity with a vibrating mirror. We show that the steady state of the system shows tripartite and bipartite continuous variable entanglement in experimentally accessible parameter regimes, which is robust against temperature. This work builds on previous theoretical results that have proven the possibility of ground state cooling of mechanical oscillators and generation of intra-cavity optomechanical entanglement between light and a vibrational degree of freedom of a micromirror.