Continuous variable quantum entanglement in optomechanical systems: A short review

Cavity optomechanics deals with the radiation pressure induced interaction between photons and mechanical motion in a cavity. It has promising applications in quantum information science. In this review, the authors discuss quantum entanglement in this emerging area of research. After giving a brief historical background on the topic of entanglement and cavity optomechanics, measures of continuous variable entanglement are discussed somewhat in great details. This is followed by a short discussion on cavity quantum optomechanics, relevant to the topic on entanglement. Then the authors discuss most of the prominent ideas and proposals pertaining to entanglement research in cavity optomechanics up until now. The authors have emphasized the key theoretical concepts without too much rigor and provided relevant experimental details whenever deemed appropriate. Finally, the authors conclude by giving a perspective on other quantum correlations such as quantum discord and quantum synchronization.