  Quantum matter hosts a large variety of phases, some coexisting, some
competing; when two or more orders occur together, they are often entangled and
cannot be separated. Dynamical multiferroicity, where fluctuations of electric
dipoles lead to magnetisation, is an example where the two orders are
impossible to disentangle. Here we demonstrate elevated magnetic response of a
ferroelectric near the ferroelectric quantum critical point (FE QCP) since
magnetic fluctuations are entangled with ferroelectric fluctuations. We thus
suggest that any ferroelectric quantum critical point is an \textit{inherent}
multiferroic quantum critical point. We calculate the magnetic susceptibility
near the FE QCP and find a region with enhanced magnetic signatures that
appears near the FE QCP, and controlled by the tuning parameter of the
ferroelectric phase. The effect is small but observable - we propose quantum
paraelectric strontium titanate as a candidate material where the magnitude of
the induced magnetic moments can be $\sim 5 \times 10^{-7} \mu_{B}$ per unit
cell near the FE QCP.

Strongly Correlated Electrons;Materials Science