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We consider RF-spectroscopy of ultracold Fermi gases by exact simulations ofthe many-body state and the coherent dynamics in one dimension. Deviations fromthe linear response sum rule result are found to suppress the pairingcontribution to the RF line shifts. We compare the coherent rotation andquasiparticle descriptions of RF-spectroscopy which are analogous to NMRexperiments in superfluid $^3$He and tunneling in solids, respectively. Wesuggest that RF-spectroscopy in ultracold gases provides an interestingcrossover between these descriptions that could be used for studyingdecoherence in quantum measurement, in the context of many-body quantum states.

Quasiparticles, coherence and nonlinearity: exact simulations of RF-spectroscopy of strongly interacting one-dimensional Fermi gases