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International Journal of Theoretical Physics

Entanglement Properties of the Kerr-Down Conversion System

Shu Jian

Published Feb 3, 2018• 0 citations
Publisher
DOI
10.1007/s10773-018-3680-z

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Abstract Recently, partially degenerate triple-photon states (TPS) generated by the third-order spontaneous parametric down-conversion have been observed in a superconducting cavity (2020, Phys. Rev. X 10, 011011). Their non-Gaussian entanglement properties, characterized by a series of high-order covariance matrices, have also been theoretically revealed. Here, we use the non-Gaussian entanglement criterion proposed in (2021, Phy. Rev. Lett. 127, 150502) and the logarithmic negativity to study the effect of pump brightness, self-Kerr and cross-Kerr interactions on the entanglement of partially degenerate TPS (PDTPS). We find that the brighter the pump, the easier the entanglement of PDTPS leap to higher-order covariance matrices. Although both self-Kerr and cross-Kerr interactions induce nonlinear phase shifts and weaken the entanglement of PDTPS, cross-Kerr interactions can effectively raise the threshold of entanglement loaded on the third-order covariance matrix. These results can contribute to our understanding of the mechanism of the generation of unconditional non-Gaussian entanglement.

Communications in Theoretical Physics•Aug 22, 2023•4 citations
We investigate the entanglement between two movable mirrors in an optomechanical cavity, in which a Kerr-down-conversion crystal consisting of a Kerr nonlinear medium and an optical parametric amplifier (OPA) is placed. The effects of the nonlinear media on the entanglement have been analyzed. It is shown that the Kerr nonlinear medium makes the perfect entanglement in some discrete frequency regions. Furthermore, when the input vacuum field is squeezed, the frequency range for producing the entanglement can be effectively extended and the reachable maximal entanglement can be enhanced by the Kerr nonlinear medium, while the OPA medium reduces the degree of the entanglement and necks the frequency range for generating the entanglement. These results suggest that nonlinear media could serve as a new handle to coherently control the entanglement between the vibrational modes of the micromirrors in the optomechanical cavity system.
Abstract Recently, partially degenerate triple-photon states (TPS) generated by the third-order spontaneous parametric down-conversion have been observed in a superconducting cavity (2020, Phys. Rev. X 10, 011011). Their non-Gaussian entanglement properties, characterized by a series of high-order covariance matrices, have also been theoretically revealed. Here, we use the non-Gaussian entanglement criterion proposed in (2021, Phy. Rev. Lett. 127, 150502) and the logarithmic negativity to study the effect of pump brightness, self-Kerr and cross-Kerr interactions on the entanglement of partially degenerate TPS (PDTPS). We find that the brighter the pump, the easier the entanglement of PDTPS leap to higher-order covariance matrices. Although both self-Kerr and cross-Kerr interactions induce nonlinear phase shifts and weaken the entanglement of PDTPS, cross-Kerr interactions can effectively raise the threshold of entanglement loaded on the third-order covariance matrix. These results can contribute to our understanding of the mechanism of the generation of unconditional non-Gaussian entanglement.