Dynamical effects in quantum droplet model of Ising spin glass in a transverse field

The equilibrium behaviour of linear dynamical susceptibility is investigated in terms of quantum Ising spin glass droplet model. The imaginary part of linear ac susceptibility χ″(ω,T) as function of temperature T and frequency of external ac field ω is analytically calculated on the basis of the linear dynamical response theory. It is found that such dependence of χ″(ω,T) shows a glassy behaviour. A qualitative agreement with experimental data, for example, in quantum dipole magnet LiHoxY1−xF4 and proton glass is found.