论文标题
具有光损失的非线性光机械系统的主等式处理
Master-equation treatment of nonlinear optomechanical systems with optical loss
论文作者
论文摘要
开放系统动力学在腔体光学系统的实验和理论研究中起关键作用。在许多情况下，量子Langevin方程使光学脱碳的出色模型具有出色的模型，但是迄今为止，完全非线性光学机械哈密顿量的主方程方法已被证明更加难以捉摸。为了解决这个出色的问题并扩大可用的数学工具集，我们为Lindblad Master方程提供了一种解决方案，该方程模拟了使用非线性光学机械汉密尔顿式演变的系统的光学偏变。该方法将lie-elgebra解决方案与单一动力学结合了lindblad方程的矢量化，我们通过在光损失的情况下通过光机械非线性考虑光学猫状态来证明其适用性。我们的结果提供了一种直接的方法，可以分析评估光学反应对光学机械腔内状态的影响。
Open-system dynamics play a key role in the experimental and theoretical study of cavity optomechanical systems. In many cases, the quantum Langevin equations have enabled excellent models for optical decoherence, yet a master-equation approach to the fully nonlinear optomechanical Hamiltonian has thus far proven more elusive. To address this outstanding question and broaden the mathematical tool set available, we derive a solution to the Lindblad master equation that models optical decoherence for a system evolving with the nonlinear optomechanical Hamiltonian. The method combines a Lie-algebra solution to the unitary dynamics with a vectorization of the Lindblad equation, and we demonstrate its applicability by considering the preparation of optical cat states via the optomechanical nonlinearity in the presence of optical loss. Our results provide a direct way of analytically assessing the impact of optical decoherence on the optomechanical intracavity state.
