The adiabatic condition governing cyclic adiabatic inversion of proton spins in a micron-sized ammonium chloride crystal was studied using room temperature nuclear magnetic resonance force microscopy. A systematic degradation of signal-to-noise was observed as the adiabatic condition became violated. A theory of adiabatic following applicable to cyclic adiabatic inversion is reviewed and implemented to quantitatively determine an adiabaticity threshold $(\gamma H_1)^2/(\omega_{ osc}\Omega) = 6.0$ from our experimental results.

Categories: cond-mat.mtrl-sci cond-mat.mes-hall physics.optics quant-ph

Quantitative Determination of the Adiabatic Condition Using Force-Detected Nuclear Magnetic Resonance