Data di Pubblicazione:
2021
Citazione:
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]
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Quantum thermodynamics; Graph theory; Thermometry
Elenco autori:
A. Candeloro, L. Razzoli, P. Bordone, M.G.A. Paris
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