Abstract
We show that the nearly uniform mode generated by the confluence of Bose-Einstein condensate (BEC) magnon pairs produced by microwave radiation in a film of yttrium iron garnet (YIG) is a coherent magnon state. This state corresponds to a macroscopic precessing magnetization which emits a superradiant microwave signal as a result of the cooperative action of the spins. The theory explains quantitatively recent experimental observations of microwave emission from a BEC of magnons in a YIG film when the driving power exceeds a critical value.
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