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Quantum technologies are built on the power of coherent superposition. Atomiccoherence is typically generated from optical coherence, most often via Rabioscillations. However, canonical coherent states of light create imperfectresources; a fully-quantized description of "$\tfrac{\pi}{2}$ pulses" showsthat the atomic superpositions generated remain entangled with the light. Weshow that there are quantum states of light that generate coherent atomicstates perfectly, with no residual atom-field entanglement. These states can befound for arbitrarily short times and approach slightly-number-squeezed$\tfrac{\pi}{2}$ pulses in the limit of large intensities; similar ideal statescan be found for any $(2k+1)\tfrac{\pi}{2}$ pulses, requiring more numbersqueezing with increasing $k$. Moreover, these states can be repeatedly used as"quantum catalysts" to successfully generate coherent atomic states with highprobability. From this perspective we have identified states that are "morecoherent" than coherent states.

Transcoherent states: Optical states for maximal generation of atomic coherence