Digital simulation of anamolous transport in the tilted Fermi-Hubbard model-Part I 

The thermalization dynamics of isolated quantum many-body systems lie at the core of quantum information science, revealing rich behavior between integrability and ergodicity. The tilted Fermi–Hubbard model—combining strong interactions, kinetic constraints, and tilt-induced localization—offers a clean, disorder-free platform to study non-ergodic phenomena. In this work, we use digital quantum processors to probe how a tilted potential shapes transport in one- and two-dimensional Fermi–Hubbard systems, reaching scales beyond 120 qubits. Through advanced compilation and error-suppression strategies, we extract real-time observables such as density–density correlations across wide parameter regimes, including the strongly interacting limit (U/t ≫ 1). Our results on spin imbalance and Hamming distance reveal sustained coherence over tens of Trotter steps, capturing memory of the initial state across interaction strengths. Finally, we introduce QSim, a general-purpose tool for programmable many-body simulations, paving the way for scalable exploration of non-equilibrium quantum matter and quantum advantage in condensed-matter emulation. The first part of the talk will highlight the experimental findings and their implications for near-term quantum-advantage demonstrations.