In this work, Cab Body and Replacement Parts we study temperature sensing with finite-sized strongly correlated systems exhibiting quantum phase transitions.We use the quantum Fisher information (QFI) approach to quantify the sensitivity in the temperature estimation, and apply a finite-size scaling framework to link this sensitivity to critical exponents of the system around critical points.We numerically calculate the QFI around the critical points for two experimentally-realizable systems: the spin-1 Audio Turntable Belt Bose-Einstein condensate and the spin-chain Heisenberg XX model in the presence of an external magnetic field.Our results confirm finite-size scaling properties of the QFI.
Furthermore, we discuss experimentally-accessible observables that (nearly) saturate the QFI at the critical points for these two systems.