Precision thermometry and the quantum speed limit

We assess precision thermometry for an arbitrary single quantum system. For a d-dimensional harmonic system we show that the gap sets a single temperature that can be optimally estimated. Furthermore, we establish a simple linear relationship between the gap and this temperature, and show that the p...

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Bibliographic Details
Published inQuantum science and technology Vol. 3; no. 2; pp. 25002 - 25011
Main Authors Campbell, Steve, Genoni, Marco G, Deffner, Sebastian
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.04.2018
Subjects
energy-time uncertainty principle
quantum metrology
quantum speed limits
thermometry
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Summary:We assess precision thermometry for an arbitrary single quantum system. For a d-dimensional harmonic system we show that the gap sets a single temperature that can be optimally estimated. Furthermore, we establish a simple linear relationship between the gap and this temperature, and show that the precision exhibits a quadratic relationship. We extend our analysis to explore systems with arbitrary spectra, showing that exploiting anharmonicity and degeneracy can greatly enhance the precision of thermometry. Finally, we critically assess the dynamical features of two thermometry protocols for a two level system. By calculating the quantum speed limit we find that, despite the gap fixing a preferred temperature to probe, there is no evidence of this emerging in the dynamical features.
Bibliography:QST-100270.R1
ISSN:2058-9565
2058-9565
DOI:10.1088/2058-9565/aaa641