Dynamical electric characteristics of a quantum paramagnet

Abstract

We consider the quantum paramagnet with the coupling between spin and electric degrees of freedom. The dynamical electric characteristics of the system under the action of the ac electric field are calculated. It is shown that for the closed system the quadrupole spin moment oscillates with the frequency of the ac field. The oscillations are modulated by the Rabi-like frequency, while the amplitude of the modulation is minimal at resonance, at which the frequency of the electric field is equal to the double energy of spin excitation of the paramagnet. The open system in the steady-state regime manifests only oscillations with the frequency of the ac field. The calculated dynamical electric susceptibility is nonzero only for nonzero dc magnetic field, and, depending on the values of the single-ion magnetic anisotropy, can manifest nonmonotonic dependence on temperature, dc electric and magnetic fields.