We address estimation of temperature for finite quantum systems at thermal equilibrium and show that the Landau bound to precision δT2 ∝ T2, originally derived for a classical not too small system being a portion of a large isolated system at thermal equilibrium, may be also achieved by energy measurement in microscopic quantum systems exhibiting vanishing gap as a function of some control parameter. On the contrary, for any quantum system with a nonvanishing gap Δ, precision of any temperature estimator diverges as δT2 ≳ T4eΔ/T.

Achieving the Landau bound to precision of quantum thermometry in systems with vanishing gap / M.G.A. Paris. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. - ISSN 1751-8113. - 49:3(2016 Jan 22). [10.1088/1751-8113/49/3/03LT02]

Achieving the Landau bound to precision of quantum thermometry in systems with vanishing gap

M.G.A. Paris
Primo
2016

Abstract

We address estimation of temperature for finite quantum systems at thermal equilibrium and show that the Landau bound to precision δT2 ∝ T2, originally derived for a classical not too small system being a portion of a large isolated system at thermal equilibrium, may be also achieved by energy measurement in microscopic quantum systems exhibiting vanishing gap as a function of some control parameter. On the contrary, for any quantum system with a nonvanishing gap Δ, precision of any temperature estimator diverges as δT2 ≳ T4eΔ/T.
Landau bound; quantum estimation; quantum thermometry; statistical and nonlinear physics; statistics and probability; modeling and simulation; mathematical physics; physics and astronomy (all)
Settore FIS/03 - Fisica della Materia
   Quantum Probes for Complex Systems
   QuProCS
   EUROPEAN COMMISSION
   H2020
   641277

   PIANO DI SOSTEGNO ALLA RICERCA 2015-2017 - TRANSITION GRANT LINEA 1A PROGETTO "UNIMI PARTENARIATI H2020"
22-gen-2016
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/465119
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