  An optimal local quantum thermometer is a quantum many-body system that
saturates the fundamental lower bound for the thermal state temperature
estimation accuracy [L. Correa, et. al., Phys. Rev. Lett. 114, 220405 (2015)].
Such a thermometer has a particular energy level structure with a single ground
state and highly degenerated excited states manifold, with an energy gap
proportional to the estimated temperature. In this work, we show that the
optimal local quantum thermometer can be realized in an experimentally feasible
system of spinless fermions confined in a one-dimensional optical lattice
described by the Rice-Mele model. We characterize the system's sensitivity to
temperature changes in terms of quantum Fisher information and the classical
Fisher information obtained from experimentally available site occupation
measurements.
