Analytical solutions for the Rabi model
Analytical solutions for the Rabi model
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Rabi 模型的解析解
DOI：
10.1103/physreva.86.015803
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发表时间：
2012-07-12
影响因子：
2.9
通讯作者：
Jia, Suotang
中科院分区：
文献类型：
--
作者：
Yu, Lixian;Zhu, Shiqun;Jia, Suotang
在这个简短的报告中，我们提出了一个微扰理论，省略了弱多光子过程，以获得Rabi模型的解析解。在此近似下，通过选择合适的变分参数，可以将Rabi模型映射为可解的jines - cummings -like模型。因此，基态和激发态能谱和波函数都可以很容易地推导出来。在较宽的实验参数范围内，这些显式结果与直接数值模拟结果吻合较好。此外，基于我们所获得的能谱，可以很好地解释最近实验观察到的电路量子电动力学中具有超强耦合的Bloch-Siegert位移。我们相信我们的结果在固态量子信息处理方面有潜在的应用。
In this Brief Report, we present a perturbation theory that omits the weak multiphoton process to obtain analytical solutions for the Rabi model. Under this approximation, the Rabi model can be mapped into the solvable Jaynes-Cummings-like model by choosing a proper variation parameter. As a result, both the ground- and excited-state-energy spectrums and wave functions can be derived easily. Moreover, these explicit results agree well with the direct numerical simulation in a wide range of the experimental parameters. In addition, based on our obtained energy spectrums, the recent experimental observation of the Bloch-Siegert shift in the circuit quantum electrodynamics with ultrastrong coupling can be explained perfectly. We believe that our results have potential applications in solid-state quantum-information processing.