Dispersive readout of the electrons on Helium Rydberg state with the Landau levels

在我的研究中，我用一个含有超流氦和电子的实验池进行了低温实验。我研究了微波辐射在不同磁场下通过细胞的透射情况，并用光谱法观察了电子的朗道能级。我还展示了在倾斜磁场下里德伯态和朗道频率能级之间的相互作用，它分裂了电子回旋加速器频率的共振峰。这种分裂的独特之处在于，电子的朗道跃迁频率（可以被视为谐振子）取决于里德伯态（两个最低的态可以用作量子位）。因此，我演示了通过检测回旋加速器共振频率（频率为4-8 GHz）来色散读出电子里德堡态（大约150 GHz）的可能性。此外，我开发了一个理论模型，描述朗道能级和色散区腔光子之间的超强耦合，使用拉比模型。该模型还包括对系统中各层次杂交的详细描述。通过大量的计算机模拟，证实了该模型的有效性。

In my research, I conducted cryogenic experiments with an experimental cell containing superfluid helium and electrons. I studied microwave radiation transmission through the cell under different magnetic fields and observed the Landau levels of electrons spectroscopically.I also demonstrated the interaction between Rydberg states and Landau frequency levels under a tilted magnetic field, which split the resonant peak of the electron cyclotron frequency. The unique feature of this splitting is that the Landau transition frequency (which can be treated as a harmonic resonator) of the electron depends on the Rydberg state (the two lowest states of which can be used as qubits). As a result, I demonstrated the possibility of dispersive readout of the electron's Rydberg state (at approximately 150 GHz) through the detection of the cyclotron resonance frequency (at frequencies of 4-8 GHz).Additionally, I developed a theoretical model describing the ultrastrong coupling between the Landau levels and the cavity photons in the dispersion regime, using the Rabi model. The model also includes a detailed description of the hybridization of all levels in the system. The validity of this model was confirmed through extensive computer simulations.