Temperature fluctuations of a finite system follow the Landau bound δT2=T2/C(T) where C(T) is the heat capacity of the system. In turn, the same bound sets a limit to the precision of temperature estimation when the system itself is used as a thermometer. In this paper, we employ graph theory and the concept of Fisher information to assess the role of topology on the thermometric performance of a given system. We find that low connectivity is a resource to build precise thermometers working at low temperatures, whereas highly connected systems are suitable for higher temperatures. Upon modeling the thermometer as a set of vertices for the quantum walk of an excitation, we compare the precision achievable by position measurement to the optimal one, which itself corresponds to energy measurement.

Role of topology in determining the precision of a finite thermometer / A. Candeloro, L. Razzoli, P. Bordone, M.G.A. Paris. - In: PHYSICAL REVIEW. E. - ISSN 2470-0045. - 104:1(2021), pp. 014136.1-014136.14. [10.1103/PhysRevE.104.014136]

Role of topology in determining the precision of a finite thermometer

Alessandro Candeloro;Matteo G. A. Paris
2021

Abstract

Temperature fluctuations of a finite system follow the Landau bound δT2=T2/C(T) where C(T) is the heat capacity of the system. In turn, the same bound sets a limit to the precision of temperature estimation when the system itself is used as a thermometer. In this paper, we employ graph theory and the concept of Fisher information to assess the role of topology on the thermometric performance of a given system. We find that low connectivity is a resource to build precise thermometers working at low temperatures, whereas highly connected systems are suitable for higher temperatures. Upon modeling the thermometer as a set of vertices for the quantum walk of an excitation, we compare the precision achievable by position measurement to the optimal one, which itself corresponds to energy measurement.
Quantum thermodynamics; Graph theory; Thermometry
Settore FIS/03 - Fisica della Materia
PHYSICAL REVIEW. E
Article (author)
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/860067
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