Berlin 2015 – wissenschaftliches Programm
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HL: Fachverband Halbleiterphysik
HL 21: Poster IB (Oxide semiconductors; II-VI and group IV semiconductors; Nanotubes and Buckyballs)
HL 21.33: Poster
Montag, 16. März 2015, 15:00–20:00, Poster B
Accelerated two dimensional NMR spectroscopy using matrix completion — •Jochen Scheuer1, Alexander Stark1, Matthias Kost2, Boris Naydenov1, Martin Plenio2, and Fedor Jelezko1 — 1Institut für Quantenoptik, Albert-Einstein-Allee 11, Universität Ulm, Ulm, Germany — 2Institut für Theoretische Physik, Albert-Einstein Allee 11, Universität Ulm, Ulm, Germany
2D nuclear magnetic resonance (NMR) spectroscopy is one of the major tools for analysing the chemical structure of molecules and proteins. Usually this technique requires quite long measurement times, which limits its application only to stable samples. Here we demonstrate a method which allows to keep the full signal to noise ratio by collecting only a fraction of the experimental data. Our method is based on two dimensional compressed sensing (matrix completion) and with using spectral value decomposition we can recover the full spectral information from randomly sampled data points[1,2]. We experimentally demonstrate the applicability of our technique by performing 2D electron spin echo modulation (ESSEM) experiments on single nitrogen vacancy (NV) centres in diamond. We show that the main peaks in the spectrum can be obtained with only up to 5 % of the total number of the data points. We believe that our results can find an application in all types of two dimensional spectroscopy, as long as the measured matrix has a low rank.
[1] M. Kost, et al., http://arxiv.org/abs/1407.6262, 2014.
[2] Cai, Jian-Feng, et al., SIAM Journal on Optimization 20.4 (2010): 1956-1982.