  A superradiant cloud of ultralight bosons near a rotating black hole provides
a smoking gun for particle physics in the infrared. However, tidal
perturbations from a nearby binary companion can destabilise the boson cloud
and even terminate superradiance. In this work, we consider the backreaction of
superradiance termination to the dynamics of general binary orbits parametrised
by their semi-latus rectum, eccentricity and inclination angle. Our analysis
focuses on Extreme Mass Ratio Inspiral (EMRI) systems and employs the
period-average approximation to derive evolution equations of these binary
parameters in the Newtonian limit. We find that the binary evolution history
can be significantly modulated by the backreaction towards large circular
equatorial orbits with reduced termination rate. This process can generically
happen even away from the resonance bands. Our work therefore serves as a first
step towards probing ultralight bosons through the statistics of EMRI binary
parameters in the future.
