标题： 腔光力学中动态稳定的双模压缩 显示英文标题

标题： Dynamically stable two-mode squeezing in cavity optomechanics

摘要： 玻色型双模压缩态是具有广泛量子信息处理和量子计量学应用的典型纠缠态。 在本工作中，我们提出了一种混合三模腔光子力学系统中的双模压缩方案，其中机械谐振器与两个微波（或光学）光子模式耦合。 通过向光子模式施加并调制强驱动脉冲，我们构建了一个有效哈密顿量，该哈密顿量描述了由机械模式介导的双光子压缩。 该有效哈密顿量通过在海森堡图片中对整个系统的转移矩阵进行对角化来验证。 利用有效哈密顿量，我们在开放量子系统的框架内为压缩生成的动力学过程提供了严格的理论解。 我们的分析表明，即使在非稳态系统中，通过优化压缩正交算符也可以获得稳定的双模压缩。 值得注意的是，压缩程度可以超过在系统稳定性条件下的最大可实现值。 此外，我们证明了我们的协议对于驱动强度和频率的系统性误差以及热马尔可夫噪声都具有鲁棒性。 我们的工作为在间接耦合的高斯模式之间生成双模压缩态提供了一种可扩展的方法。 显示英文摘要

摘要： Bosonic two-mode squeezed states are paradigmatic entangled states with broad applications in quantum information processing and quantum metrology. In this work, we propose a two-mode squeezing scheme in a hybrid three-mode cavity optomechanical system, where a mechanical resonator couples to two microwave (or optical) photon modes. By applying and modulating strong driving pulses to the photon modes, we construct an effective Hamiltonian that describes two-photon squeezing mediated by the mechanical mode. This effective Hamiltonian is validated through diagonalization of the full system's transition matrix in the Heisenberg picture. With the effective Hamiltonian, we provide a rigorous theoretical solution for the dynamical process of squeezing generation within the framework of open quantum system. Our analysis reveals that stable two-mode squeezing can be obtained by optimizing the squeezing quadrature operator, even in unsteady system states. Remarkably, the squeezing level can exceed the maximum achievable under system stability conditions. Furthermore, we show that our protocol is robust against systematic errors in both driving intensity and frequency, as well as against thermal Markovian noises. Our work provides an extendable approach for generating two-mode squeezed states between indirectly coupled Gaussian modes.