000904300 001__ 904300 000904300 005__ 20250129092424.0 000904300 0247_ $$2doi$$a10.1016/j.jmr.2020.106815 000904300 0247_ $$2ISSN$$a0022-2364 000904300 0247_ $$2ISSN$$a1090-7807 000904300 0247_ $$2ISSN$$a1096-0856 000904300 0247_ $$2ISSN$$a1557-8968 000904300 0247_ $$2Handle$$a2128/30801 000904300 0247_ $$2pmid$$a33423756 000904300 0247_ $$2WOS$$aWOS:000608261400012 000904300 037__ $$aFZJ-2021-05870 000904300 082__ $$a530 000904300 1001_ $$0P:(DE-Juel1)133861$$aAppelt, Stephan$$b0$$eCorresponding author 000904300 245__ $$aSABRE and PHIP pumped RASER and the route to chaos 000904300 260__ $$aAmsterdam [u.a.]$$bElsevier$$c2021 000904300 3367_ $$2DRIVER$$aarticle 000904300 3367_ $$2DataCite$$aOutput Types/Journal article 000904300 3367_ $$0PUB:(DE-HGF)16$$2PUB:(DE-HGF)$$aJournal Article$$bjournal$$mjournal$$s1646056305_3166 000904300 3367_ $$2BibTeX$$aARTICLE 000904300 3367_ $$2ORCID$$aJOURNAL_ARTICLE 000904300 3367_ $$00$$2EndNote$$aJournal Article 000904300 520__ $$aIn a RASER (Radio-frequency Amplification by Stimulated Emission of Radiation), the fast relaxing electromagnetic modes of an LC resonator are enslaved by the slow nuclear spin motion, whose coherence decays with the transverse relaxation rate . Such a system obeys the slaving principle, mathematically identical with the adiabatic elimination procedure, leading to multi-mode RASER equations. If the pumping rate of nuclear spin polarization , a second adiabatic elimination process applies and the spectral properties of the RASER can be predicted. The resulting model is similar to the model of two non-linear coupled oscillators and predicts the observed RASER phenomena, including frequency combs and mode collapse. If the second adiabatic elimination is not applicable, mode collapse is completely absent and successive period doubling processes and chaos occur at very high population inversions. We compare these theoretical predictions with experimental results from a PHIP (Para-Hydrogen Induced Polarization) pumped 1H RASER. Moreover, in SABRE (Signal Amplification By Reversible Exchange) pumped 1H experiments, RASER revivals are observed long after the parahydrogen pumping source has been switched off. All these findings shed light onto the links between NMR spectroscopy, RASER physics, synergetics and chaos theory. 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