  In this article, we consider single, and two-qubit central spin systems
interacting with spin baths and discuss their dynamical properties. We consider
the cases of interacting and non-interacting spin baths and investigate the
quantum speed limit (QSL) time of evolution. The impact of the size of the spin
bath on the quantum speed limit for a single qubit central spin model is
analyzed. We estimate the quantum correlations for (non-)interacting two
central spin qubits and compare their dynamical behaviour with that of QSL time
under various conditions. We show how QSL time could be availed to analyze the
dynamics of quantum correlations.
