论文标题
Jaynes-Cummings-Hubbard和Dicke模型中的淬灭动态
Quench dynamics in the Jaynes-Cummings-Hubbard and Dicke models
论文作者
论文摘要
Jaynes-Cummings-Hubbard（JCH）和Dicke型号都可以视为量子电池的理想化模型。在本文中，我们通过数值研究了这两个模型的充电性能。这两个模型在两级系统中包含在腔中的方式上有所不同。在Dicke模型中，$ n $两级的系统包含在一个腔中，而在JCH模型中，两级系统每个都有自己的腔，并且能够通过它们之间的光子传递。在每个模型中，我们考虑了一个方案，其中两级系统以基态启动，以及光子和两级系统之间的耦合参数被淬灭。这些型号中的每一个都显示出最大的充电功率，该充电功率随电池$ n $的大小而缩放，没有发现超级充电。充电功率还具有两种型号的平均光子光子光子平均光子数量的平方根。最后，在JCH模型中，发现功率与光子腔耦合$κ$的平方根相反。
Both the Jaynes-Cummings-Hubbard (JCH) and Dicke models can be thought of as idealised models of a quantum battery. In this paper we numerically investigate the charging properties of both of these models. The two models differ in how the two-level systems are contained in cavities. In the Dicke model, the $N$ two-level systems are contained in a single cavity, while in the JCH model the two-level systems each have their own cavity and are able to pass photons between them. In each of these models we consider a scenario where the two-level systems start in the ground state and the coupling parameter between the photon and the two-level systems is quenched. Each of these models display a maximum charging power that scales with the size of the battery $N$ and no super charging was found. Charging power also scales with the square root of the average number of photons per two-level system $m$ for both models. Finally, in the JCH model, the power was found to charge inversely with the square root of the photon-cavity coupling $κ$.
