量子Rabi模型中的Berry相的解析解

Analytical Berry Phase in Quantum Rabi Model

利用光子Fock态,给出量子Rabi模型的数值严格解,其结果比推广的转动波近似有很大改进.截取两个Fock态,可以给出简单明了的解析结果,在很大的耦合区间里,非常接近严格解,包含了主要的非旋波效应.我们获得Berr相的简明解析结果,与数值严格解在很大区间内吻合.

The quantum Rabi model is solved analytically with photonic Fock state.The effect of counterrotating wave terms are explicitly included in the analytical solutions.The concise analytical expression can be applied to the present-day accessible strong coupling regime.The Berry phase has been further obtained,which agrees quite well with the numerically exact one in a wide coupling regime.