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中国物理学会期刊

有限温度临界性增强的量子计量

Finite-temperature-criticality enhanced quantum metrology

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  • 量子计量是利用量子力学原理与量子资源来实现高精度量子参数估计的科技. 临界性是一种最常见的量子资源, 被广泛应用于各种量子计量方案. 然而, 热噪声通常会削弱甚至完全消除量子临界性带来的优势, 导致现有方案往往局限于零温或极低温环境. 为克服这一局限, 本文提出了一种基于有限温度热力学相变的量子临界计量方案. 该方案建立在探针与待测系统构成的复合整体的热平衡态上, 无需精确的动力学调控手段. 该方案有效地拓展了临界量子计量的适用范围, 并为实现无需超低温冷却的高精度量子计量提供了一条可能的路径.

     

    Quantum metrology exploits quantum-mechanical principles and certain non-classical resources to achieve high-precision parameter estimation that surpasses the classical shot-noise limit. Quantum criticality is one of the most common resources and is widely used in various protocols of quantum metrology. However, in practical settings, the quantum probe inevitably interacts with its environment, and the environmental thermal noise typically degrades or even completely destroys the quantum advantage established by criticality. As a consequence, most existing criticality-enhanced schemes are limited to zero or ultra-low temperatures, which severely restricts their experimental feasibility. To address this issue, we propose a unified critical metrology scheme based on a pure-dephasing-type probe-reservoir interaction, which is immune to the decoherence induced by thermal noise. In our scheme, we employ a spin-chain probe to sense the temperature of a dissipative bosonic reservoir. Going beyond the conventional approaches that rely on the weak-coupling approximation, we account for the strong probe–reservoir coupling effect via a polaron transformation, which fully decouples the probe and the reservoir. Our analysis reveals that the strong coupling induces a thermal phase transition within the standard framework of Landau mean-field theory. At the critical temperature, we find that both the quantum Fisher information and the signal-to-noise ratio exhibit a power-law divergence. Our criticality-enhanced scheme eliminates the stringent requirement for cooling and can be generalized to the case of dissipation-type interaction. These findings significantly broaden the scope of critical metrology and offer a practical route toward high-precision quantum metrology under realistic conditions.

     

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