论文标题
liouville空间中开放量子系统的第二个量化
Second quantization of open quantum systems in Liouville space
论文作者
论文摘要
我们提出了一个理论框架，基于Liouville空间中的第二个量化，以治疗开放量子系统。我们考虑了一个以离散量子状态组为特征的相同量子发射器的合奏。第二个量化直接在密度矩阵的水平上进行，从而大大降低了liouville空间的大小。与常规的希尔伯特空间技术相反，统计上混合状态和耗散是自然纳入的。作为应用的一个特定示例，我们研究了与量子光的相互作用中发射器初始状态的不连贯过程和统计混合的影响。此外，我们将我们的框架与动力学的相空间描述联系起来，该框架可以通过颗粒数量增加来克服我们方法的计算局限性。
We present a theoretical framework based on second quantization in Liouville space to treat open quantum systems. We consider an ensemble of identical quantum emitters characterized by a discrete set of quantum states. The second quantization is performed directly at the level of density matrices, thereby significantly reducing the size of the Liouville space. In contrast to conventional Hilbert space techniques, statistically mixed states and dissipation are naturally incorporated. As a particular example of application, we study the effect of incoherent processes and statistical mixing of emitters' initial states in the interaction with quantum light. Moreover, we link our framework to a phase-space description of the dynamics, which can overcome the computational limitations of our method with the increasing number of particles.
