Four Wave Mixing from Fe3+ Spins in Sapphire
Daniel L. Creedon, Karim Benmessai, Warwick P. Bowen, Michael E. Tobar

TL;DR
This paper reports the first observation of four wave mixing in Fe3+ doped sapphire resonators, demonstrating a new nonlinear microwave interaction enabled by electron spins at cryogenic temperatures, with potential quantum applications.
Contribution
It introduces the first demonstration of four wave mixing from Fe3+ spins in sapphire, revealing a third-order nonlinear susceptibility at microwave frequencies.
Findings
First observation of FWM in Fe3+ sapphire resonators
Identification of a third-order paramagnetic nonlinearity
Potential for quantum measurement and control applications
Abstract
Fe3+ ions in sapphire exhibit an Electron Spin Resonance (ESR) which interacts strongly with high-Q Whispering Gallery (WG) modes at microwave frequencies. We report the first observation of a third-order paramagnetic nonlinear susceptibility in such a resonator at cryogenic temperatures, and the first demonstration of four wave mixing (FWM) using this parametric nonlinearity. This observation of an all-microwave nonlinearity is an enabling step towards a host of quantum measurement and control applications which utilize spins in solids.
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