哈密顿量(控制论)
量子位元
物理
对角化矩阵
量子力学
波函数
特征向量
旋转波近似
基态
拉比周期
量子
量子电动力学
数学
对称矩阵
数学优化
作者
Yan Zhang,Peihua Qu,Bingbing Xu,Shihui Zhang,Jie Ma
标识
DOI:10.1142/s0217984921502134
摘要
The generalized rotating-wave approximation (GRWA) method is extended to the two-qubit quantum Rabi model. In the first-order approximation (one photon exchange), the Hamiltonian matrix in photon number space is simplified by introducing two variational parameters. However, the Hamiltonian matrix is not a diagonalizable matrix yet. Furthermore, by presenting a constraint condition on coupling strength and atomic transition frequency, the Hamiltonian matrix is simplified and an effective solvable Hamiltonian with block diagonal form is obtained. In the even and odd parity space, the energy spectra and eigenstates of the two-qubit quantum Rabi model are achieved analytically. Most of the energy spectra, especially the lower energy levels, agree well with the numerical exact results in ultra-strong coupling region, and the ground state wave function can gives a fairly accurate result of mean photon number.
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