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Recent investigations on the dipolar-octupolar compounds Ce$_2$Zr$_2$O$_7$and Ce$_2$Sn$_2$O$_7$ suggest that they may stabilize so-called $\pi$-fluxoctupolar quantum spin ice ($\pi$-O-QSI), a novel three-dimensional quantumspin liquid hosting emergent photons. Confirmation of such an exotic phasewould require the prediction of a distinctive signature and its subsequentexperimental observation. So far, however, theoretical predictions for any suchsharp smoking-gun signatures are lacking. In this Letter, we thoroughlyinvestigate O-QSI using an extension of gauge mean-field theory. This frameworkproduces a phase diagram consistent with previous studies and anenergy-integrated neutron scattering signal with intensity-modulated rodmotifs, as reported in experiments and numerical studies. We predict that thedynamical spin structure factor of $\pi$-O-QSI is characterized by a broadcontinuum with three distinctive peaks as a consequence of the two mostly flatspinon bands. These three peaks should be measurable by high-resolutioninelastic neutron scattering. Such spectroscopic signatures would be clearevidence for the realization of $\pi$-flux quantum spin ice.

Spectroscopic signatures of fractionalization in octupolar quantum spin ice