RF Spectra: Summary, Conclusions, and the Future
Summarizing our studies of RF spectroscopy, we have showed that two common but qualitatively distinct pictures of RF spectroscopy—one based on sum rules, and one based on single particle Green’s functions—emerge as special limits of a more complete calculation, depending on the final state interactions through the quantity U ab ? U aa/t a . In the deep Mott and superfluid limits, we have extended our calculations to finite temperature. We have also discussed how RF spectra with interactions beyond on-site may be used to probe full joint number distributions on multiple sites; candidates with appropriate interactions are Rydberg excitations or molecular gases.
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