  We report continuous measurements of quasiparticles trapping and clearing
from Andreev Bound States in aluminum nanobridge Josephson junctions integrated
into a superconducting-qubit-like device. We find that trapping is well modeled
by independent spontaneous emission events. Above 80 mK the clearing process is
well described by absorption of thermal phonons, but other
temperature-independent mechanisms dominate at low temperature. We find complex
structure in the dependence of the low-temperature clearing rate on the Andreev
Bound State energy. Our results shed light on quasiparticle behavior in
qubit-like circuits.
