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We demonstrate two effects that occur in all diffusivesuperconducting-magnetic heterostructures with rotating magnetization: thereappearance of singlet $|0,0>$ correlations deep in the magnetic material anda cascade of $s=1$, $m=0, \pm 1$ components (in the two spin-$1/2$ basis$|s,m>$). We do so by examining the order parameter and Josephson currentthrough a multilayer with five mutually perpendicular ferromagnets. Theproperties of the middle layer determine whether the current is due to $m=0$ or$m\neq 0$ contributions. We conclude that so-called long- and short-rangecomponents are present across a proximity system with rotating magnetization.

Cascading Proximity Effects in Rotating Magnetizations