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Ergodic many-body systems are expected to reach quasi-thermal equilibrium.Here we demonstrate that, surprisingly, high-energy electrons, which areinjected into a quantum Hall edge mode with finite range interactions,stabilize at a far-from-thermalized state over a long time scale. To detectthis non-equilibrium state, one positions an energy-resolved detectordownstream of the point of injection. So far, non-equilibrium distributions inintegrable systems were either found not to display relaxation at all, orgenerically relax to near-thermal asymptotic states. In stark contrast, thehere-obtained many-body state comprises fast-decaying transient components,followed by a nearly frozen distribution with a peak near the injection energy.

Near-frozen non-equilibrium state at high energy in an integrable system