  Photonic emulators have facilitated the investigation of numerous solid-state
phenomena and have contributed to the development of optical devices inspired
by quantum mechanics. Although current photonic emulators are constrained to
bosonic behavior with local interactions, the utilization of active synthetic
lattices holds promise for surpassing these limitations. In this study, we
propose employing the modulated ring fast-gain laser as a foundation for
emulating quench dynamics within a synthetic lattice that conforms to equal
density filling of its reciprocal space. To illustrate the effectiveness of
this emulation platform, we subject a dispersed Wannier-Stark ladder to
quenching and directly observe oscillations, enabled by the fast-gain, along
with their coherent stabilization to a single Wannier stark state. These
coherent dynamics stem directly from our lasers liquid state of light, a
characteristic resulting from fast-gain and explained by the rapid decay of
fluctuations occurring on the system's shortest timescale. Additionally, by
adequately biasing the lattice through detuning the modulation from the cavity
resonance, this process supports oscillatory dynamics within the synthetic
space.
