Rabi哈密顿量的渐进对角化方案
A progressive diagonalization scheme for the Rabi Hamiltonian
摘要：
提出了一种描述量子比特与单模辐射场偶极相互作用的拉比哈密顿量的对角化方案。它表明，拉比哈密顿可以解决几乎完全使用一个渐进的计划，涉及一个有限的一个变量多项式方程组。该方案对于频谱的较低部分特别有效。一些低的能级的模型与几组参数的计算和比较，最近提出的广义行波近似和全矩阵对角化。
英文摘要：
A diagonalization scheme for the Rabi Hamiltonian, which describes a qubit interacting with a single-mode radiation field via a dipole interaction, is proposed. It is shown that the Rabi Hamiltonian can be solved almost exactly using a progressive scheme that involves a finite set of one variable polynomial equations. The scheme is especially efficient for lower part of the spectrum. Some low-lying energy levels of the model with several sets of parameters are calculated and compared to those provided by the recently proposed generalized rotating-wave approximation and full matrix diagonalization.
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