Non-Gaussian entanglement in gravitating masses: the role of cumulants
Daisuke Miki, Akira Matsumura, Kazuhiro Yamamoto
TL;DR
This paper introduces a new entanglement detection method using higher-order cumulants, specifically for non-Gaussian states in optomechanical systems involving gravitating mirrors, expanding the entangled regime detection.
Contribution
It develops an entanglement criterion based on third- and fourth-order cumulants tailored for non-Gaussian states in gravitating optomechanical systems.
Findings
Enlarged entangled regime with higher-order cumulants
Effective detection of non-Gaussian entanglement
Limitations in highly non-Gaussian states
Abstract
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.
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