Correlated noise in Brownian motion allows for super resolution

TL;DR

This paper demonstrates that correlated diffusion noise in NV-based nano-NMR enables super-resolution spectral measurements, surpassing traditional exponential decay limitations.

Contribution

It provides theoretical and experimental evidence that correlated noise allows for high spectral resolution in nano-NMR, challenging the conventional exponential decay assumption.

Findings

Diffusion noise exhibits power law decay of correlations.

Correlated noise enables super-resolution in nano-NMR.

Experimental results confirm theoretical predictions.

Abstract

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.