  AC-specific heat measurements remain as the foremost thermodynamic
experimental method to underpin phase transitions in tiny samples. However, its
performance under combined extreme conditions of high-pressure, very low
temperature and intense magnetic fields needs to be broadly extended for
investigation of quantum phase transition in strongly correlated electron
systems. In this communication, we discuss the determination of specific heat
on the quantum paramagnetic$-$insulator SrCu$_{2}$(BO$_{3}$)$_{2}$ by applying
the AC-specific heat technique under extreme conditions. In order to apply this
technique to insulating samples we sputtered a metallic thin film-heater and
attached thermometer onto sample. Besides that, we performed full frequency
scans with the aim to get quantitative specific heat data. Our results show
that we can determine the sample heat capacity within 5$\%$ of accuracy respect
to an adiabatic technique. This allows to uncover low energy scales that
characterize the ground state of quantum spin entanglement in
SrCu$_{2}$(BO$_{3}$)$_{2}$.
