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In this note we look at the time evolution of signals in axion dark matterexperiments from a quantum perspective. Our aim is not to contribute newresults to the general discussion of the quantum/classical connection (which wedo not) but rather to slightly illuminate the specific case of axionexperiments. From the classical perspective one expects a signal oscillatingwith a frequency equal to the axion mass whose amplitude is slowly rising dueto the tiny interaction of the axions with ordinary matter. In the quantumpicture the latter, slow time-scale arises from the small splitting in theenergy levels induced by the interaction between the axions and the experiment,and it is always present in suitable, sensitive experiments. Signals thatoscillate with a frequency equal to the axion mass, however, arise fromprocesses changing the axion number. Yet, depending on the chosen observable,such oscillations may be absent for certain special initial quantum states ofthe axions. However, we show by example that, using an appropriate experimentalprocedure, these special states can be modified by the experiment in such a waythat a signal oscillating with the axion mass re-appears. In addition, wediscuss the measurement of suitable correlators that feature an oscillationwith the axion mass. We also comment on the connection to the classicaltreatment. The explicit experiment we look at is an oscillating EDM experimentsuch as CASPEr but we expect our results to be easily adaptable to other typesof axion dark matter experiments.

A Quantum Perspective on Oscillation Frequencies in Axion Dark Matter Experiments