New research delves into the ultrafast, interaction-driven dynamics observed in finite graphene flakes, establishing them as a crucial benchmark for quantum simulation. Utilizing an interacting tight-binding model, the study meticulously examines the material's intricate response following an optical pump quench. A core objective involves rigorously comparing exact real-time evolution simulations against those confined to particle-hole excitation subspaces1. This systematic comparison is designed to precisely determine when relaxation phenomena within these quantum systems can be adequately captured by simplified, low-order many-body processes, and conversely, when such approximations prove insufficient for accurate representation. The investigation leverages single-particle orbital entropy as a vital metric to quantify these dynamic behaviors and assess the efficacy of different simulation methodologies. This foundational work, published on arXiv on June 9, 2026, aims to enhance the precision and reliability of quantum simulation platforms. Improving the accuracy of quantum simulations for emergent materials like graphene is indispensable for breakthroughs in quantum computing architectures and advanced electronic device design.