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Several experimental implementations of cavity-magnon systems are presented.First an Yttrium Iron Garnet (YIG) block is placed inside a re-entrant cavitywhere the resulting hybrid mode is measured to be in the ultra strong couplingregime. When fully hybridised the ratio between the coupling rate and uncoupledmode frequencies is determined to be $g/\omega=0.46$. Next a thin YIG cylinderis placed inside a loop gap cavity. The bright mode of this cavity couples tothe YIG sample and is similarly measured to be in the ultra strong couplingregime with ratio of coupling rate to uncoupled mode frequencies as$g/\omega=0.34$. A larger spin density medium such as lithium ferrite (LiFe) isexpected to improve couplings by a factor of 1.46 in both systems as couplingstrength is shown to be proportional to the square root of spin density andmagnetic moment. Such strongly coupled systems are potentially useful forcavity QED, hybrid quantum systems and precision dark matter detectionexperiments. The YIG disc in the loop gap cavity, is, in particular, shown tobe a strong candidate for dark matter detection. Finally, a LiFe sphere insidea two post re-entrant cavity is considered. In past work it was shown that themagnon mode in the sample has a turnover point in frequency. Additionally, itwas predicted that if the system was engineered such that it fully hybridisedat this turnover point the cavity-magnon polariton (CMP) transition frequencywould become insensitive to both first and second order magnetic bias fieldfluctuations, a result useful for precision frequency applications. This workimplements such a system by engineering the cavity mode frequency to near thisturnover point, with suppression in sensitivity to second order bias magneticfield fluctuations shown.

Experimental Implementations of Cavity-Magnon Systems: from Ultra Strong Coupling to Applications in Precision Measurement