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arXiv · 2305.03436

Invasiveness of non-equilibrium quantum thermometry

Francesco Albarelli·Matteo G. A. Paris·Bassano Vacchini·Andrea Smirne
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Abstract

One of the main advantages expected from using quantum probes as thermometers is non invasiveness, i.e., a negligible perturbation to the thermal sample. However, invasiveness is rarely investigated explicitly. Here, focusing on a pure-dephasing spin probe in a bosonic sample, we show that there is a non-trivial relation between the information on the temperature gained by a quantum probe and the heat absorbed by the sample due to the interaction. We show that optimizing over the probing time, i.e. considering a time-optimal probing scheme, also has the benefit of limiting the heat absorbed by the sample in each shot of the experiment. For such time-optimal protocols, we show that it is advantageous to have very strong probe-sample coupling, since in this regime the accuracy increases linearly with the coupling strength, while the amount of heat per shot saturates to a finite value. Since in pure-dephasing models the absorbed heat corresponds to the external work needed to couple and decouple the probe and the sample, our results also represent a first step towards the analysis of the thermodynamic and energetic cost of quantum thermometry.

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Francesco Albarelli, Matteo G. A. Paris, Bassano Vacchini, Andrea Smirne. 2023-05-05. Invasiveness of non-equilibrium quantum thermometry. https://doi.org/10.1103/physreva.108.062421

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