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Recently there has been theoretical and experimental interest inBloch-Siegert shifts in an intense photon field. A perturbative treatmentbecomes difficult in this multiphoton regime. We present a unitary transformand rotated model, which allows us to get accurate results away from the levelanticrossings. A simple variational energy estimate leads to a new expressionfor the dressed two-level system energy which is accurate, and useful over awide range of the dimensionless coupling constant.

Bloch-Siegert shift for multiphoton resonances