标题： Kerr磁子辅助的渐近稳态光子-声子压缩 显示英文标题

标题： Kerr magnon assisted asymptotic stationary photon-phonon squeezing

摘要： 玻色子双模压缩态是连续变量系统中典型的纠缠态，在量子信息处理中有广泛的应用。在本工作中，我们提出了一种由克尔磁振子辅助的光子-声子压缩协议，该协议在一个混合腔磁机械系统中实现。我们构建了一个有效的哈密顿量，该哈密顿量通过强光子-磁振子相互作用和对光子模式驱动频率的精确调制来解释光子-声子压缩。可以通过一种有趣的方法来确认该有效哈密顿量，即系统的Liouvilian超算符的对角化。这种方法可以解决系统能级图中的水平吸引而非避让水平交叉。通过有效哈密顿量和量子朗之万方程，我们为压缩生成的动力学过程提供了严格的理论解决方案。我们的发现表明，即使系统的协方差矩阵仍然随时间变化，也可以通过优化压缩正交算符获得渐近稳态压缩。这种压缩水平可以超过稳定条件下的最大值。此外，我们的分析还揭示了磁振子的克尔非线性可以进一步促进压缩生成。我们的工作为生成通过间接耦合纠缠两个高斯模式的压缩态提供了一个可扩展的框架。 显示英文摘要

摘要： Bosonic two-mode squeezed states are paradigmatic entangled states in continuous variable systems, which have broad applications in quantum information processing. In this work, we propose a photon-phonon squeezing protocol assisted by a Kerr magnon within a hybrid cavity magnomechanical system. We construct an effective Hamiltonian that accounts for photon-phonon squeezing through strong photon-magnon interaction and precise modulation over the driving frequency on the photon mode. The effective Hamiltonian can be confirmed by a fascinating method about the diagonalization of the system's Liouvilian superoperator. This method can address the level attractions rather than avoided level crossings in the energy diagram of the whole system. With the effective Hamiltonian and quantum Langevin equation, we provide a rigorous theoretical solution for the dynamical process of squeezing generation. Our finding indicates that asymptotic stationary squeezing can be obtained by optimizing the squeezing quadrature operator, even when the covariance matrix of the system still varies with time. This squeezing level can exceed the maximum value under stable conditions. Moreover, our analysis also reveals that the Kerr nonlinearity of the magnon can further promote the squeezing generation. Our work provides an extendable framework for generating squeezed states that entangle two Gaussian modes with indirect coupling.