论文标题
单模量子字段中两级系统的特征态：从量子狂犬模型到$ n $ -ATOM DICKE模型
Eigenstates of two-level systems in a single-mode quantum field: from quantum Rabi model to $N$-atom Dicke model
论文作者
论文摘要
在本文中，我们表明，在库仑量规中，$ n $两级系统与单模电磁量子场的共振相互作用的谐振相互作用可以使用简单的基础状态进行高度准确性。这允许人们找到系统的特征向量和特征值的分析近似，该近似值将数值解决方案插值以一定范围的耦合常数值。此外，引入的基础状态提供了一种定期计算校正并估算到确切数值解的收敛方式的定期方法。所获得的结果对于量子狂犬模型（$ n = 1 $）和$ n \ geq 2 $原子的dicke模型都是有效的。
In the present paper we show that the Hamiltonian describing the resonant interaction of $N$ two-level systems with a single-mode electromagnetic quantum field in the Coulomb gauge can be diagonalized with a high degree of accuracy using a simple basis set of states. This allows one to find an analytical approximation for the eigenvectors and eigenvalues of the system, which interpolates the numerical solution in a broad range of the coupling constant values. In addition, the introduced basis states provide a regular way of calculating the corrections and estimating the convergence to the exact numerical solution. The obtained results are valid for both quantum Rabi model ($N = 1$) and the Dicke model for $N \geq 2$ atoms.
