Dynamical role of quantum signatures in quantum thermometry

Nonequilibrium quantum thermometry is a central topic for both fundamental and technological purposes. It shows advantages against its equilibrium counterpart by reducing the uncertainty associated to the temperature of the bath, and a negligible invasiveness. Here, we analyze how quantum features influence the dynamical speed of single- and two-qubit nonequilibrium thermometers interacting with a bosonic thermal bath. Our investigations exploit Riemannian geometric tools to show that the Riemannian speed of the nonequilibrium thermometer is only indirectly influenced by its quantum features, thus highlighting how the quantum fingerprint seems to be concealed by the classical aspects of thermalization dynamics.