Quantum dynamics of two-photon quantum Rabi model
Quantum dynamics of two-photon quantum Rabi model
复制标题
双光子量子拉比模型的量子动力学
DOI：
10.1088/1751-8121/aa5537
复制
发表时间：
2017-01
期刊：
影响因子：
--
通讯作者：
Hang Zheng
中科院分区：
文献类型：
--
作者：
Zhiguo Lü;Chunjian Zhao;Hang Zheng
本文采用一种基于幺正变换的简单解析方法，计算了双光子量子Rabi哈密顿量在较宽耦合强度范围内的基态、激发谱和物理量的量子动力学演化。该方法与旋波近似法具有相同的数学简单性。通过与矩阵对角化方法数值精确结果的定量比较，证实了变换行波法的计算结果不仅在弱耦合情况下是准确的，而且在中等强耦合情况下也是正确的。在中间超强耦合区，基态和激发态的计算值与精确值基本一致。结果表明，我们对能谱的计算超出了普通的RWA。同时，我们通过对超强条件下光子的布居数、相干性、压缩等的观测，证明了反旋波项所产生的特征。特别地，我们发现当光子的频率远大于系统的跃迁频率时，随着耦合强度的增加，时间演化的线形变得复杂，这可以从实验上得到验证。
We apply a simple analytical method based on a unitary transformation to calculate the ground state, its excitation spectrum and quantum dynamic evolution of physical quantities for the double-photon quantum Rabi Hamiltonian over the wide coupling-strength range. The concise analytical method possesses the same mathematical simplicity as the approach of the rotating wave approximation (RWA). By quantitative comparison with the numerically exact result obtained by matrix diagonalization, we confirm that our calculated results obtained by transformed rotating-wave method are not only accurate in the weak coupling regime but also correct in intermediate strong-coupling case. In the intermediate ultrastrong-coupling regime, the calculated values of the ground state and lower lying excited states are nearly the same as the exact ones. It turns out that our calculation for the energy spectrum is beyond the ordinary-RWA. Meanwhile, we demonstrate the signatures resulting from the counter-rotating wave terms by monitoring the population, the coherence, the squeezing of the photon under the ultra-strong conditions. In particular, we find that when the frequency of the photon is much larger than the transition frequency of the system, the lineshape of the time evolution becomes complicated with the increase of the coupling strength, which may be verified experimentally.
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