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When an off-resonant light field is coupled with atomic spins, itspolarization can rotate depending on the direction of the spins via a Faradayrotation which has been used for monitoring and controlling the atomic spins.We observed Faraday rotation by an angle of more than 10 degrees for a single1/2 nuclear spin of 171Yb atom in a high-finesse optical cavity. By employingthe coupling between the single nuclear spin and a photon, we have alsodemonstrated that the spin can be projected or weakly measured through theprojection of the transmitted single ancillary photon.

Faraday Rotation with Single Nuclear Spin Qubit in a High-Finesse Optical Cavity