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We provide new operational significance of nonclassicality in nonequilibriumtemperature estimation of bosonic baths with Gaussian probe states and Gaussiandynamics. We find a bound on the thermometry performance using classical probestates. Then we show that by using nonclassical probe states, single-mode andtwo-mode squeezed vacuum states, one can profoundly improve the classicallimit. Interestingly, we observe that this improvement can also be achieved byusing Gaussian measurements. Hence, we propose a fully Gaussian protocol forenhanced thermometry, which can simply be realized and used in quantum opticsplatforms.

Operational significance of nonclassicality in nonequilibrium Gaussian quantum thermometry