  Dissipative phase transitions are characteristic features in open quantum
systems. Key signatures are the dynamical switching between different states in
the vicinity of the phase transition and the appearance of hysteresis. Here, we
experimentally study dynamic sweeps across a first order dissipative phase
transition in a multi-mode driven-dissipative system. In contrast to previous
studies, we perform sweeps of the dissipation strength instead of the driving
strength. We extract exponents for the scaling of the hysteresis area in
dependence of the sweep time and study the $g^{(2)}(0)$ correlations, which
show non-trivial behavior. By changing the temperature of the system we
investigate the importance of coherently pumping the system. We compare our
results to numerical calculations done for a single mode variant of the system,
and find surprisingly good agreement. Furthermore, we identify and discuss the
differences between a scan of the dissipation strength and a scan of the
driving strength.
