Linear and quadratic reservoir engineering of non-Gaussian states
Linear and quadratic reservoir engineering of non-Gaussian states
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DOI：
10.1103/physreva.100.013831
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发表时间：
2019-07-16
影响因子：
2.9
通讯作者：
Houhou, Oussama
中科院分区：
文献类型：
--
作者：
Brunelli, Matteo;Houhou, Oussama
研究了与辅助阻尼模线性耦合和二次耦合的目标模的纯非高斯态的耗散制备。我们证明了任何独立于初始条件的纯态要么是（i）立方相态，即由压缩真空上的非高斯（立方）幺正的作用给出的状态，要么是（ii）Fock态的（压缩和位移）有限叠加。这两种状态中的哪一种被实现取决于由目标模式上的工程化储层引起的变换是否是正则的（i）或不是（ii）。我们讨论了如何准备这些国家在光机械腔驱动多个控制激光器，通过调整驱动器的相对强度和相位。（ii）中的相关例子包括任何阶的机械薛定谔猫态或福克型态的稳定化。我们的分析是完全分析的：它扩展了水库工程的非高斯制度，使准备新的机械状态与负维格纳函数。
We study the dissipative preparation of pure non-Gaussian states of a target mode which is coupled both linearly and quadratically to an auxiliary damped mode. We show that any pure state achieved independently of the initial condition is either (i) a cubic phase state, namely, a state given by the action of a non-Gaussian (cubic) unitary on a squeezed vacuum or (ii) a (squeezed and displaced) finite superposition of Fock states. Which of the two states is realized depends on whether the transformation induced by the engineered reservoir on the target mode is canonical (i) or not (ii). We discuss how to prepare these states in an optomechanical cavity driven with multiple control lasers, by tuning the relative strengths and phases of the drives. Relevant examples in (ii) include the stabilization of mechanical Schrodinger-cat-like states or Fock-type states of any order. Our analysis is entirely analytical: it extends reservoir engineering to the non-Gaussian regime and enables the preparation of novel mechanical states with negative Wigner function.