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    Enhancing low-temperature quantum thermometry via sequential measurements

    Ning Zhang1,2, Chong Chen3,*, and Ping Wang4,†

    • 1School of Materials and Energy, Electron Microscopy Centre of Lanzhou University, Lanzhou University, Lanzhou 730000, China
    • 2Lanzhou Center for Theoretical Physics, Key Laboratory of Quantum Theory and Applications of MoE, and Key Laboratory of Theoretical Physics of Gansu Province, Lanzhou University, Lanzhou, Gansu 730000, China
    • 3Department of Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China
    • 4Faculty of Arts and Sciences, Beijing Normal University, Zhuhai 519087, China

    • *Contact author: chongchenn@gmail.com
    • †Contact author: wpking@bnu.edu.cn

    Phys. Rev. Applied 24, 044008 – Published 2 October, 2025

    DOI: https://doi.org/10.1103/sr7z-kxwp

    Abstract

    We propose a sequential measurement protocol for accurate low-temperature estimation based on Ramsey interferometry. The resulting correlated outputs significantly enhance the low-temperature precision compared to that of the independent measurement scheme. This enhancement manifests a Heisenberg scaling of the signal-to-noise ratio for small measurement numbers N. Detailed analysis reveals that the final precision is determined by the pair correlation of the sequential outputs induced by the low-frequency noise of the thermal sample, which produces a dependence N2 on the signal-to-noise ratio. Remarkably, we find that quantum thermometry within the sequential protocol functions as a high-resolution quantum spectroscopy of the thermal noise, underscoring the pivotal role of the sequential measurements in enhancing the spectral resolution and the temperature-estimation precision. Our methodology signifies the role of the temporal correlation induced by the thermal sample in low-temperature quantum thermometry, which represents an advancement in low-temperature measurement.

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