Fully quantized treatment of molecular beam resonance: Momentum coherences and entanglements

We present a fully quantal treatment of a beam of two state particles interacting with temporally oscillating potentials. A single oscillatory potential, in resonantly coupling the two internal states, generally entangles each with a different longitudinal momentum. An oscillatory potential can also act as an amplitude modulator, creating momentum coherences within a single internal state. Two successive oscillatory fields, if differentially detuned (DSOF), can couple an initially monochromatic state to a coherent momentum superposition, or alternatively may be used to detect a pre-existing momentum superposition. DSOF can also create amplitude modulation which, despite the presence of a broad velocity distribution, rephases at a selected distance downstream of the device. (author)