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arXiv 1709.09672quant-ph
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精密测温和量子速度极限

Precision thermometry and the quantum speed limit

Steve Campbell, Marco G. Genoni, Sebastian Deffner

摘要:

我们评估了任意单量子系统的精确测温。对于一个$d$维谐波系统,我们表明,间隙设置一个单一的温度,可以最佳估计。此外,我们建立了一个简单的线性关系之间的间隙和这个温度,并表明精度呈现二次关系。我们扩展我们的分析,探索系统的任意光谱,利用非谐性和简并性可以大大提高测温的精度。最后,我们批判性地评估了两个温度协议的二能级系统的动力学特征。通过计算量子速度极限,我们发现,尽管间隙固定一个优选的温度探测,没有证据表明这出现在动力学特征。

英文摘要:

We assess precision thermometry for an arbitrary single quantum system. For a $d$-dimensional harmonic system we show that the gap sets a single temperature that can be optimally estimated. Furthermore, we establish a simple linear relationship between the gap and this temperature, and show that the precision exhibits a quadratic relationship. We extend our analysis to explore systems with arbitrary spectra, showing that exploiting anharmonicity and degeneracy can greatly enhance the precision of thermometry. Finally, we critically assess the dynamical features of two thermometry protocols for a two level system. By calculating the quantum speed limit we find that, despite the gap fixing a preferred temperature to probe, there is no evidence of this emerging in the dynamical features.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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