论文标题
量子光学的Fock状态晶格方法
A Fock state lattice approach to quantum optics
论文作者
论文摘要
我们通过用Fock-State Lattices表达其哈密顿量，分析了一组经常出现在量子光学设置中的模型。此类模型的少数自由度以及系统对称性使新兴的Fock-State晶格相当简单，以便可以将它们与Condensed Matter社区的已知晶格模型链接在一起。这为已知的量子光学系统提供了新的灯光。尽管我们提供了相当长的模型及其相应的Fock-State晶格，但我们选择了一些模型，以证明该方法的强度。例如，显示三模式玻色子模型显示出分形光谱和手性进化，以沿着对称轨迹沿对称的局部分布进行特征的Fock状态晶格中。在第二个示例中，我们考虑了中央自旋模型，该模型会产生一个让人联想到SSH模型托管拓扑边缘状态的Fock状态晶格。我们进一步证明了晶格模型中平坦带的现象如何在相关的Fock-State晶格中表现出来，这可以与所谓的暗状态相关。
We analyze a set of models frequently appearing in quantum optical settings by expressing their Hamiltonians in terms of Fock-state lattices. The few degrees-of-freedom of such models, together with the system symmetries, make the emerging Fock-state lattices rather simple such that they can be linked to known lattice models from the condensed matter community. This sheds new light on known quantum optical systems. While we provide a rather long list of models and their corresponding Fock-state lattices, we pick a few ones in order to demonstrate the strength of the method. The three-mode boson model, for example, is shown to display a fractal spectrum, and chiral evolution in the Fock-state lattice characterized by localized distributions traversing along symmetric trajectories. In a second example we consider the central spin model which generates a Fock-state lattice reminiscent of the SSH-model hosting topological edge states. We further demonstrate how the phenomena of flat bands in lattice models can manifest in related Fock-state lattices, which can be linked to so called dark states.
