  Ultralight bosons are well-motivated particles from various physical and
cosmological theories, and can be spontaneously produced during the
superradiant process, forming a dense hydrogen-like cloud around the spinning
black hole. After the growth saturates, the cloud slowly depletes its mass
through gravitational-wave emission. In this work we study the orbit dynamics
of a binary system containing such a gravitational atom saturated in various
spin-0,1,2 superradiant states, taking into account both the effects of
dynamical friction and the cloud mass depletion. We estimate the significance
of mass depletion, finding that although dynamical friction could dominate the
inspiral phase, it typically does not affect the outspiral phase driven by the
mass depletion. Focusing on the large orbit radius, we investigate the
condition to observe the outspiral, and the detectability of the cloud via
pulsar-timing signal in the case of black hole-pulsar binary.
