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The coupling between a pseudo-scalar inflaton and a gauge field leads to anamount of additional density perturbations and gravitational waves (GWs) thatis strongly sensitive to the inflaton speed. This naturally results in enhancedGWs at (relatively) small scales that exited the horizon well after the CMBones, and that can be probed by a variety of GW observatories (from pulsartiming arrays, to astrometry, to space-borne and ground-based interferometers).This production occurs in a regime in which the gauge field significantlybackreacts on the inflaton motion. Contrary to earlier assumptions, it has beenrecently shown that this regime is characterized by an oscillatory behavior ofthe inflaton speed, with a period of~${\rm O } \left( 5 \right)$ e-folds.Bursts of GWs are produced at the maxima of the speed, imprinting nearlyperiodic bumps in the frequency-dependent spectrum of GWs produced duringinflation. This can potentially generate correlated peaks appearing in the sameor in different GWs experiments.

A flashing beacon in axion inflation: recurring bursts of gravitational waves in the strong backreaction regime