Effect of system-reservoir correlations on temperature estimation

doi:10.1088/1674-1056/ab5fc0

中国物理B ›› 2020, Vol. 29 ›› Issue (2): 20501-020501.doi: 10.1088/1674-1056/ab5fc0

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

Effect of system-reservoir correlations on temperature estimation

Wen-Li Zhu(朱雯丽), Wei Wu(吴威), Hong-Gang Luo(罗洪刚)

1 School of Physical Science and Technology&Key Laboratory for Magnetism and Magnetic Materials of the Ministry of Education, Lanzhou University, Lanzhou 730000, China;
2 Beijing Computational Science Research Center, Beijing 100193, China

收稿日期:2019-10-28 修回日期:2019-11-27 出版日期:2020-02-05 发布日期:2020-02-05
通讯作者: Wei Wu E-mail:wuw@lzu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grants Nos. 11704025, 11674139, and 11834005).

Effect of system-reservoir correlations on temperature estimation

Wen-Li Zhu(朱雯丽)¹, Wei Wu(吴威)¹, Hong-Gang Luo(罗洪刚)^1,2

1 School of Physical Science and Technology&Key Laboratory for Magnetism and Magnetic Materials of the Ministry of Education, Lanzhou University, Lanzhou 730000, China;
2 Beijing Computational Science Research Center, Beijing 100193, China

Received:2019-10-28 Revised:2019-11-27 Online:2020-02-05 Published:2020-02-05
Contact: Wei Wu E-mail:wuw@lzu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grants Nos. 11704025, 11674139, and 11834005).

摘要/Abstract

摘要： 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.

关键词: quantum Fisher information, spin-boson model, system-reservoir correlations, temperature sensing

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.

Key words: quantum Fisher information, spin-boson model, system-reservoir correlations, temperature sensing

中图分类号: (Quantum statistical mechanics)

05.30.-d

03.65.Yz (Decoherence; open systems; quantum statistical methods) 06.20.-f (Metrology)

朱雯丽, 吴威, 罗洪刚. Effect of system-reservoir correlations on temperature estimation[J]. 中国物理B, 2020, 29(2): 20501-020501.

Wen-Li Zhu(朱雯丽), Wei Wu(吴威), Hong-Gang Luo(罗洪刚). Effect of system-reservoir correlations on temperature estimation[J]. Chin. Phys. B, 2020, 29(2): 20501-020501.

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Effect of system-reservoir correlations on temperature estimation

Effect of system-reservoir correlations on temperature estimation

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