Dynamical interaction of an atomic oscillator with squeezed radiation inside a cavity

Abstract

The dynamical interaction of an oscillator with squeezed radiation inside a cavity is considered. Exact solution of the dynamical equation is presented using the Wigner function for the combined system of the atomic oscillator and the squeezed radiation. This solution enables us to study (i) relaxation of the oscillator for arbitrary bandwidth of the squeezed radiation, and (ii) effects of squeezed radiation on vacuum-field Rabi splittings. Explicit results for fluctuation spectra and the oscillator polarizabilities are given. New resonances in the fluctuation spectra appear as the radiation in the cavity becomes more and more squeezed. Strong narrowing of the vacuum-field Rabi splitting due to squeezed radiation is predicted. Very large enhancement of the oscillator polarizability at Rabi side peaks is also predicted. The modification of the cavity output due to the atomic oscillator is discussed.