Digital Quantum Simulation of Anomalous Transport in the Tilted Fermi-Hubbard Model: Part II

The thermalization dynamics of isolated quantum many-body systems lies at the heart of quantum information science, revealing exotic behaviors between the extremes of integrability and ergodicity. The tilted Fermi-Hubbard model, with its interplay of strong interactions, kinetic constraints, and tilt-induced localization, offers a compelling platform to explore non-ergodic phenomena in a clean, disorder-free setting. In this work, we utilize digital quantum processors to explore the interplay of the tilted potential with the transport properties of the Fermi-Hubbard model in one and two dimensions. To this end, we perform quantum simulation of one- and two-dimensional full-spin Fermi-Hubbard model with system sizes surpassing 120 qubits. Leveraging advanced compilation techniques and error suppression methods, we extract real-time correlation functions across a broad parameter regime, including the strongly interacting limit. Our preliminary results on spin imbalance and hamming distance indicate sustained coherence over tens of Trotter steps. Our approach paves the way for scalable studies of non-equilibrium quantum matter, with implications for quantum advantage in condensed matter emulation.

Part II: In the second part of the talk, we discuss problem-tailored compilation strategies, which allow us to scale system size of the experiment to 120 qubits for the full-spin Fermi-Hubbard model, and reach circuit depths of 20 trotter steps.