Effect of system-reservoir correlations on temperature estimation

doi:10.1088/1674-1056/ab5fc0

Abstract In many previous temperature estimation schemes, the temperature of a sample is directly read out from the final steady state of a quantum probe, which is coupled to the sample. However, in these studies, information of correlations between system (the probe) and reservoir (the sample) is usually eliminated, leading the steady state of the probe is a canonical equilibrium state with respect solely to system's Hamiltonian. To explore the influence of system-reservoir correlations on the estimation precision, we investigate the equilibration dynamics of a spin interacting with a finite temperature bosonic reservoir. By incorporating an intermediate harmonic oscillator or a collective coordinate into the spin, the system-reservoir correlations can be correspondingly encoded in a Gibbs state of an effective Hamilton, which is size consistent with the original bare spin. Extracting information of temperature from this corrected steady state, we find the effect of the system-reservoir correlations on the estimation precision is highly sensitive to the details of the spectral density function of the measured reservoir.

Keywords: quantum Fisher information spin-boson model system-reservoir correlations temperature sensing

Received: 28 October 2019
Revised: 27 November 2019
Accepted manuscript online:

PACS:	05.30.-d	(Quantum statistical mechanics)
	03.65.Yz	(Decoherence; open systems; quantum statistical methods)
	06.20.-f	(Metrology)

Fund: Project supported by the National Natural Science Foundation of China (Grants Nos. 11704025, 11674139, and 11834005).

Corresponding Authors: Wei Wu
E-mail: wuw@lzu.edu.cn

Cite this article:

Wen-Li Zhu(朱雯丽), Wei Wu(吴威), Hong-Gang Luo(罗洪刚) Effect of system-reservoir correlations on temperature estimation 2020 Chin. Phys. B 29 020501

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