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。我研究了不同磁场下微波辐射在池中的传输，用光谱观察了电子的朗道能级，并证明了倾斜磁场下里德堡态与朗道频率的相互作用，分裂了电子回旋频率的共振峰。这种分裂的独特之处在于，电子的朗道跃迁频率(可被视为谐振器)取决于里德堡态(里德堡态的两个最低态可用作量子比特)。因此，我证明了通过探测回旋共振频率(频率为4-8 GHz)来色散读出电子的里德堡态(约150 GHz)的可能性。此外，我还利用Rabi模型建立了一个理论模型，描述了色散区朗道能级与腔光子之间的超强耦合。该模型还包括对系统中所有级别的杂交的详细描述。通过大量的计算机模拟验证了该模型的有效性。

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.