论文标题

布朗运动中相关的噪声可以超级分辨率

Correlated noise in Brownian motion allows for super resolution

论文作者

Oviedo-Casado, Santiago, Rotem, Amit, Nigmatullin, Ramil, Prior, Javier, Retzker, Alex

论文摘要

光谱线的扩散拓宽是非极化液态纳米-NMR中频率分辨率的主要局限性。这个问题来自在失去连贯性之前从信号中提取的有限信息。对于液态NMR,与大多数通用感应实验一样,信号被认为是指数型,严重限制的分辨率。但是,有理论上的证据可以预测由于非极化纳米-NMR场景中的扩散噪声而引起的信号相关性的功率定律衰减。在这项工作中,我们表明,在基于NV的纳米-NMR设置中,这种扩散噪声会导致高光谱分辨率。

Diffusion broadening of spectral lines is the main limitation to frequency resolution in non-polarized liquid state nano-NMR. This problem arises from the limited amount of information that can be extracted from the signal before losing coherence. For liquid state NMR as with most generic sensing experiments, the signal is thought to decay exponentially, severely limiting resolution. However, there is theoretical evidence that predicts a power law decay of the signal's correlations due to diffusion noise in the non-polarized nano-NMR scenario. In this work we show that in the NV based nano-NMR setup such diffusion noise results in high spectral resolution.

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