Fundamental limitation on qubit operations due to the Bloch-Siegert Oscillation

We show that if the Rabi frequency is comparable to the Bohr frequency so that the rotating wave approximation is inappropriate, an extra oscillation is present with the Rabi oscillation. We discuss how the sensitivity of the degree of excitation to the phase of the field may pose severe constraints on precise rotations of quantum bits involving low-frequency transitions. We present a scheme for observing this effect in an atomic beam.