Manipulating bipartite and tripartite quantum correlations of mechanical oscillators via optomechanical interaction

The entanglement of macroscopic mechanical oscillators is always an interesting domain. How to entangle multiple mechanical oscillators is still not well answered. In this paper, we investigate the bipartite and tripartite quantum correlations among three distinct mechanical oscillators interacting with one cavity pumped by a multi-tone driving laser. Floquet cavity modes, resulting from different frequency components of the multi-tone driven cavity, are used to construct channels for quantum correlations between mechanical oscillators. By modulating the effective optomechanical coupling, we can manipulate the mechanical entanglement and EPR steering. The numerical results show that the two-tone driving widely employed is not enough to generate tripartite entanglement, while three- and four-tone driving can be employed to generate and enhance genuine tripartite entanglement. All bipartite entanglement can also be modulated. In addition, we demonstrate the monogamous relation of tripartite EPR steering and manipulate the asymmetry of steering. This work provides a method for manipulating the quantum correlation among multiple macroscopic objects.

Automated summary

This paper investigates the quantum entanglement of multiple mechanical oscillators using a multi-tone driving laser. The results demonstrate that three- and four-tone driving can generate and enhance genuine tripartite entanglement, while two-tone driving is not sufficient. The study also provides a method for manipulating the quantum correlation among multiple macroscopic objects.