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arXiv 1807.02676quant-ph
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混合量子拉比模型

The mixed quantum Rabi model

Liwei Duan, You-Fei Xie, Qing-Hu Chen

摘要:

利用Bogoliubov算符,得到了包含单光子和双光子项的混合量子Rabi模型(QRM)的解析精确解。超越函数的$4 \times 4$行列式负责的精确解的推导。这些所谓的具有极点结构的$G$函数可以简化为未混合QRM中的先前函数。$G$ -函数的零点完全再现规则谱。例外特征值也可以由另一个超越函数得到。从极点结构出发,我们可以导出双光子耦合强度趋于坍缩点时的两个能量极限。所有的能级都只坍缩到较低的能级,它负向发散。在未混合的QRM的水平交叉放宽,以避免交叉在本混合QRM由于缺乏奇偶对称。在弱双光子耦合区,混合QRM等效于单光子QRM,具有有效的正偏压、抑制的光子频率和增强的单光子耦合,这可能为进入深强单光子耦合区提供一种高效、经济的途径。

英文摘要:

The analytical exact solutions to the mixed quantum Rabi model (QRM) including both one- and two-photon terms are found by using Bogoliubov operators. Transcendental functions in terms of $4 \times 4$ determinants responsible for the exact solutions are derived. These so-called $G$-functions with pole structures can be reduced to the previous ones in the unmixed QRMs. The zeros of $G$-functions reproduce completely the regular spectra. The exceptional eigenvalues can also be obtained by another transcendental function. From the pole structure, we can derive two energy limits when the two-photon coupling strength tends to the collapse point. All energy levels only collapse to the lower one, which diverges negatively. The level crossings in the unmixed QRMs are relaxed to avoided crossings in the present mixed QRM due to absence of parity symmetry. In the weak two-photon coupling regime, the mixed QRM is equivalent to an one-photon QRM with an effective positive bias, suppressed photon frequency and enhanced one-photon coupling, which may pave a highly efficient and economic way to access the deep-strong one-photon coupling regime.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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