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Global Quantum Thermometry
- Source :
- Physical Review Letters. 127
- Publication Year :
- 2021
- Publisher :
- American Physical Society (APS), 2021.
-
Abstract
- A paradigm shift in quantum thermometry is proposed. To date, thermometry has relied on local estimation, which is useful to reduce statistical fluctuations once the temperature is very well known. In order to estimate temperatures in cases where few measurement data or no substantial prior knowledge are available, we build instead a theory of global quantum thermometry. Based on scaling arguments, a mean logarithmic error is shown here to be the correct figure of merit for thermometry. Its full minimisation provides an operational and optimal rule to post-process measurements into a temperature reading, and it establishes a global precision limit. We apply these results to the simulated outcomes of measurements on a spin gas, finding that the local approach can lead to biased temperature estimates in cases where the global estimator converges to the true temperature. The global framework thus enables a reliable approach to data analysis in thermometry experiments.<br />5 + 8 pages, 1 + 1 figures. Accepted in Physical Review Letters
- Subjects :
- Logarithm
Computer science
FOS: Physical sciences
General Physics and Astronomy
Statistical fluctuations
01 natural sciences
010305 fluids & plasmas
Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
0103 physical sciences
ddc:550
Figure of merit
ddc:530
Statistical physics
Limit (mathematics)
010306 general physics
Quantum
Scaling
Condensed Matter - Statistical Mechanics
Condensed Matter::Quantum Gases
Quantum Physics
Statistical Mechanics (cond-mat.stat-mech)
Condensed Matter - Mesoscale and Nanoscale Physics
Institut für Physik und Astronomie
Estimator
Quantum Gases (cond-mat.quant-gas)
Physics - Data Analysis, Statistics and Probability
Minification
Quantum Physics (quant-ph)
Condensed Matter - Quantum Gases
Data Analysis, Statistics and Probability (physics.data-an)
Subjects
Details
- ISSN :
- 10797114 and 00319007
- Volume :
- 127
- Database :
- OpenAIRE
- Journal :
- Physical Review Letters
- Accession number :
- edsair.doi.dedup.....121b4f3c2c36afac79f38b869808cd0e