Thermometric machine for ultraprecise thermometry of low temperatures

Henao, Ivan; Hovhannisyan, Karen V.; Uzdin, Raam

doi:10.48550/arxiv.2108.10469

Cited by 5 publications

(3 citation statements)

References 37 publications

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“…While the Cramér-Rao bound is inadequate when working with scarce data [33], it has proven useful to understand the fundamental scaling laws of low-temperature thermometry [5,7,11,14].…”

Section: Ultimate Thermometric Precisionmentioning

confidence: 99%

Bending the rules of low-temperature thermometry with periodic driving

Glatthard,

Correa

2022

Preprint

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There exist severe limitations on the accuracy of low-temperature thermometry, which poses a major challenge for future quantum-technological applications. Lowtemperature sensitivity might be manipulated by tailoring the interactions between probe and sample. Unfortunately, the tunability of these interactions is usually very restricted. Here, we focus on a more practical solution to boost thermometric precision-driving the probe. Specifically, we solve for the limit cycle of a periodically modulated linear probe in an equilibrium sample. We treat the probe-sample interactions exactly and hence, our results are valid for arbitrarily low temperatures T and any spectral density. We find that weak near-resonant modulation strongly enhances the signal-to-noise ratio of low-temperature measurements, while causing minimal back action on the sample. Furthermore, we show that nearresonant driving changes the power law that governs thermal sensitivity over a broad range of temperatures, thus 'bending' the fundamental precision limits and enabling more sensitive low-temperature thermometry. We then focus on a concrete example-impurity thermometry in an atomic condensate. We demonstrate that periodic driving allows for a sensitivity improvement of several orders of magnitude in sub-nanokelvin temperature estimates drawn from the density profile of the impurity atoms. We thus provide a feasible upgrade that can be easily integrated into low-T thermometry experiments.

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“…While the Cramér-Rao bound is inadequate when working with scarce data [33], it has proven useful to understand the fundamental scaling laws of low-temperature thermometry [5,7,11,14].…”

Section: Ultimate Thermometric Precisionmentioning

confidence: 99%

Bending the rules of low-temperature thermometry with periodic driving

Glatthard,

Correa

2022

Preprint

View full text Add to dashboard Cite

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“…On the theoretical side, the application of estimationtheoretic methods to low-temperature thermometry has consolidated into the novel field of 'quantum thermometry' [17,18]. Specifically, progress has been made on establishing fundamental scaling laws for the signal-to-noise ratio of temperature estimates as the temperature T → 0 [19][20][21], or on the identification of design prescriptions that can make a probe more responsive to temperature fluctuations [22][23][24][25][26][27][28]. As a result, precision tuning in sensing applications with atomic impurities is starting to be informed by estimation theory [7,29,30].…”

Section: Introductionmentioning

confidence: 99%

Optimal cold atom thermometry using adaptive Bayesian strategies

Glatthard¹,

Rubio²,

Sawant³

et al. 2022

Preprint

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Precise temperature measurements on systems of few ultracold atoms is of paramount importance in quantum technology, but can be very resource-intensive. Here, we put forward an adaptive Bayesian framework that substantially boosts the performance of cold atom temperature estimation. Specifically, we process data from release-recapture thermometry experiments on few potassium atoms cooled down to the microkelvin range in an optical tweezer. We demonstrate that adaptively choosing the release-recapture times to maximise information gain does substantially reduce the number of measurements needed for the estimate to converge to a final reading. Unlike conventional methods, our proposal systematically avoids capturing and processing uninformative measurements. Furthermore, we are able to produce much more reliable estimates, especially when the measured data are scarce and noisy. Likewise, the resulting estimates converge faster to the real temperature in the asymptotic limit. Our method can be adapted to enhance the precision and resource-efficiency of many other techniques running on different experimental setups, thus opening new avenues in quantum thermometry.

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“…Going beyond pure dephasing, it will be interesting to study the invasiveness of thermometry schemes in which the probe's energy can change, e.g. using quantum thermal machines as thermometers [72,73]. Moreover, invasiveness could also be characterized taking into account energy fluctuations or by considering the post-measurement state [74] and extended to thermometry with sequential measurements on the probe [75,76].…”

mentioning

confidence: 99%

Invasiveness of nonequilibrium pure-dephasing quantum thermometry

Albarelli,

Paris,

Vacchini

et al. 2023

Phys. Rev. A

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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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Thermometric machine for ultraprecise thermometry of low temperatures

Cited by 5 publications

References 37 publications

Bending the rules of low-temperature thermometry with periodic driving

Bending the rules of low-temperature thermometry with periodic driving

Optimal cold atom thermometry using adaptive Bayesian strategies

Invasiveness of nonequilibrium pure-dephasing quantum thermometry

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