Non-Gaussian entanglement in gravitating masses: The role of cumulants

We develop an entanglement criterion with third-and fourth-order cumulants to detect the entanglement of non-Gaussian states. The efficiency of the entanglement criterion is investigated for gravitating mirrors in optomechanical systems. We show that the entangled regime of the mirrors is enlarged by the third-and fourth-order cumulants. We also discuss the limitations of the entanglement criterion for mirrors in a highly non-Gaussian state.

Automated summary

We have developed a criterion using third- and fourth-order cumulants to detect the entanglement of non-Gaussian states, and investigated its efficiency for gravitating mirrors in optomechanical systems. Our results show that the entangled regime of the mirrors can be enlarged by using the third- and fourth-order cumulants. We also discuss the limitations of the entanglement criterion for mirrors in a highly non-Gaussian state.