标题： Kerr-磁振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： 玻色型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，在混合腔磁机械系统中实现。 我们构建了一个有效哈密顿量，通过强光子-磁振子相互作用和对光子模式驱动的调制来描述光子-声子压缩。 有效哈密顿量可以通过系统李普诺夫超算符的对角化来确认。 利用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。 我们的发现表明，即使系统的协方差矩阵随时间变化，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，我们的分析表明，磁振子的适当克尔非线性可以进一步促进压缩的生成。 我们的工作为生成具有间接耦合的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 modulation over the driving on the photon mode. The effective Hamiltonian can be confirmed by the diagonalization of the system's Liouvillian superoperator. 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 the 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 reveals that a proper Kerr nonlinearity of the magnon can further promote the squeezing generation. Our work provides an extendable framework for generating squeezed states of two Gaussian modes with indirect coupling.