Power-law scaling of correlations in statistically polarised nano-NMR

• URL: http://arxiv.org/abs/2203.11161v2
• Date: Mon, 17 Oct 2022 15:26:34 GMT
• Title: Power-law scaling of correlations in statistically polarised nano-NMR
• Authors: Nicolas Staudenmaier, Anjusha Vijayakumar-Sreeja, Santiago Oviedo-Casado, Genko Genov, Daniel Cohen, Daniel Dulog, Thomas Unden, Nico Striegler, Alastair Marshall, Jochen Scheuer, Christoph Findler, Johannes Lang, Ilai Schwartz, Philipp Neumann, Alex Retzker, and Fedor Jelezko
• Abstract summary: Diffusion noise is a major source of spectral line broadening in liquid state nano-scale nuclear magnetic resonance with shallow nitrogen-vacancy centres. We show that correlations survive for a longer time due to a power-law scaling, yielding the possibility for improved resolution.
• Score: 3.3452799833629943
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Diffusion noise is a major source of spectral line broadening in liquid state nano-scale nuclear magnetic resonance with shallow nitrogen-vacancy centres, whose main consequence is a limited spectral resolution. This limitation arises by virtue of the widely accepted assumption that nuclear spin signal correlations decay exponentially in nano-NMR. However, a more accurate analysis of diffusion shows that correlations survive for a longer time due to a power-law scaling, yielding the possibility for improved resolution and altering our understanding of diffusion at the nano-scale. Nevertheless, such behaviour remains to be demonstrated in experiments. Using three different experimental setups and disparate measurement techniques, we present overwhelming evidence of power-law decay of correlations. These result in sharp-peaked spectral lines, for which diffusion broadening need not be a limitation to resolution.

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