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We study the phase controlled transmission properties in a compound systemconsisting of a 3D copper cavity and an yttrium iron garnet (YIG) sphere. Bytuning the relative phase of the magnon pumping and cavity probe tones,constructive and destructive interferences occur periodically, which stronglymodify both the cavity field transmission spectra and the group delay of light.Moreover, the tunable amplitude ratio between pump-probe tones allows us tofurther improve the signal absorption or amplification, accompanied by eithersignificantly enhanced optical advance or delay. Both the phase andamplitude-ratio can be used to realize in-situ tunable and switchable fast-slowlight. The tunable phase and amplitude-ratio lead to the zero reflection of thetransmitted light and an abrupt fast-slow light transition. Our results confirmthat direct magnon pumping through the coupling loops provides a versatileroute to achieve controllable signal transmission, storage, and communication,which can be further expanded to the quantum regime, realizing coherent-stateprocessing or quantum-limited precise measurements.

Phase-controlled pathway interferences and switchable fast-slow light in a cavity-magnon polariton system