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.

Precision thermometry and the quantum speed limit / S. Campbell, M.G. Genoni, S. Deffner. - In: QUANTUM SCIENCE AND TECHNOLOGY. - ISSN 2058-9565. - 3:2(2018 Jan), pp. UNSP 025002.1-UNSP 025002.10.

Precision thermometry and the quantum speed limit

M.G. Genoni;
2018

Abstract

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.
thermometry; quantum speed limits; energy-time uncertainty principle; quantum metrology
Settore FIS/03 - Fisica della Materia
   Quantum Control for Advanced Quantum Metrology
   ConAQuMe
   701154
gen-2018
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/574015
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