A distinct phase transition emerges during quantum interactions, revealed by changes in fermionic non-Gaussianity undetectable through standard thermodynamic calculations. Calculations demonstrate typical states achieve a maximal magic Rényi entropy (MRE) density of ln(4/3) per Majorana, a quantifiable upper bound previously unknown. This shift signifies an unexpected complexity within many-body systems as they evolve under specific Hamiltonian dynamics.
