氦表面态电子垂直极化率的内部回旋探针
Internal cyclotron probe of the vertical polarizability of a surface-state electron on helium
AI总结：
本研究通过倾斜磁场实现液氦表面态电子的自耦合朗道子带哈密顿量，利用多能级理论与精确对角化，将回旋共振作为垂直极化率的直接探针，证实存在宽微波窗口以观测态相关回旋位移。
AI中文摘要：
我们研究倾斜磁场中液氦上的表面态电子，倾斜使回旋能级梯与同一电子的类里德伯垂直子带耦合，从而实现自耦合朗道子带哈密顿量。在远失谐区域，回旋线产生由标准二阶微扰理论描述的态相关位移，所得表达式将回旋共振确定为垂直梯动力学极化率的直接探针，该理论本质为多能级，精确对角化证实存在宽微波窗口，在此窗口内系统保持色散的同时，预期会出现显著的态相关回旋位移。
英文摘要：
We study a surface-state electron on liquid helium in a tilted magnetic field. The tilt couples the cyclotron ladder to the vertical Rydberg-like subbands of the same electron and thereby realizes a self-coupled Landau-subband Hamiltonian. In the far-detuned regime, the cyclotron line acquires a state-dependent shift described by standard second-order perturbation theory. The resulting expression identifies the cyclotron resonance as a direct probe of the dynamical polarizability of the vertical ladder. The theory is intrinsically multilevel. Exact diagonalization confirms a broad microwave window in which sizable state-dependent cyclotron shifts are expected while the system remains dispersive.
