Jaynes-Cummings Models with trapped surface-state electrons in THz cavities

An electron floating on the liquid Helium is proposed to be trapped (by a micro-electrode set below the liquid Helium) in a high finesse cavity. Two lowest levels of the vertical motion of the electron acts as a two-level "atom", which could resonantly interact with the THz cavity. In the Lamb-Dicke regime, wherein the electron's in-plane activity region is much smaller than the wavelength of the cavity mode, the famous Jaynes-Cummings model (JCM) could be realized. By applying an additional external classical laser beam to the electron, a driven JCM could also be implemented. With such a driven JCM certain quantum states, e.g., coherent states and the Schrodinger cat states, of the THz cavity field could be prepared by one-step evolution. The numerical results show that, for the typical parameters of the cavity and electron on liquid Helium, a strong coupling between the artificial atom and the THz cavity could be obtained.