Cai Yin, Hao Ling, Zhang Da, Liu Yang, Luo Binshuo, Zheng Zhan, Li Feng, Zhang Yanpeng
Opt Express. 2020 Aug 17;28(17):25278-25292. doi: 10.1364/OE.396168.
Multimode entanglement is essential for the generation of quantum networks, which plays a central role in quantum information processing and quantum metrology. Here, we study the spatial multimode entanglement characteristics of the large scale quantum states via a dual-pumped four-wave-mixing (FWM) process of Rubidium atomics vapors. A linear mode transform approach is applied to solve the four- and six-mode Gaussian states and the analytical input-output relations are presented. Moreover, via reconstructing the full covariance matrix of the produced states, versatile entanglement with from two up to six modes is analyzed. The results show that most of the 1 versus n-mode and m versus n-mode states are entangled, and the amount of entanglement can be regulated due to the competitions of mode components caused by different interaction strengths of co-existing FWMs. Our study could be applied for any multimode Gaussian states with a quadratic Hamiltonian.
多模纠缠对于量子网络的生成至关重要，而量子网络在量子信息处理和量子计量学中起着核心作用。在此，我们通过铷原子蒸汽的双泵浦四波混频（FWM）过程研究大规模量子态的空间多模纠缠特性。应用线性模式变换方法求解四模和六模高斯态，并给出解析输入 - 输出关系。此外，通过重构所产生态的全协方差矩阵，分析了从两模到六模的多种纠缠情况。结果表明，大多数1对n模和m对n模的态是纠缠的，并且由于共存FWM不同相互作用强度引起的模式分量竞争，纠缠量可以得到调控。我们的研究可应用于任何具有二次哈密顿量的多模高斯态。
