论文标题
量子系统的lindblad主方程与耗散剂量模式耦合
Lindblad master equations for quantum systems coupled to dissipative bosonic modes
论文作者
论文摘要
我们提出了一种通用方法，用于得出一个子系统的lindblad主方程，该子系统的动力学与耗散性骨气模式相连。该推导依赖于Schrieffer-Wolff转换，该转换允许在自一致地确定其状态作为耦合量子系统的函数后消除骨气自由度。我们将这种形式主义应用于耗散的dicke模型，并为原子旋转提供了lindblad的主方程，其中包括由骨模式介导的相干和耗散相互作用。该主方程准确地预测了DICKE相变并给出正确的稳态。此外，我们使用精确的对角线化和主相的数值整合与半经典轨迹的预测进行比较。我们最终通过研究正午状态的放松来测试形式主义的表现，并表明该动力学捕获了均值超出平均场近似值的量子标准。
We present a general approach to derive Lindblad master equations for a subsystem whose dynamics is coupled to dissipative bosonic modes. The derivation relies on a Schrieffer-Wolff transformation which allows to eliminate the bosonic degrees of freedom after self-consistently determining their state as a function of the coupled quantum system. We apply this formalism to the dissipative Dicke model and derive a Lindblad master equation for the atomic spins, which includes the coherent and dissipative interactions mediated by the bosonic mode. This master equation accurately predicts the Dicke phase transition and gives the correct steady state. In addition, we compare the dynamics using exact diagonalization and numerical integration of the master equation with the predictions of semiclassical trajectories. We finally test the performance of our formalism by studying the relaxation of a NOON state and show that the dynamics captures quantum metastability beyond the mean-field approximation.
