Quantum simulation of far-from-equilibrium quantum many-body dynamics

We will provide an overview of our research which bridges quantum many-body physics and quantum simulation through two main pillars. The first focuses on investigating exotic far-from-equilibrium phenomena such as quantum many-body scarring, Hilbert space fragmentation, and many-body localization, while uncovering novel properties of dynamical phase transitions and criticality. The second aims to develop experimentally feasible schemes to probe such dynamics on state-of-the-art quantum hardware, including ultracold atoms and molecules, superconducting qubits, and trapped ions. Two major goals of our research efforts are the pursuit of true quantum advantage and far-from-equilibrium quantum many-body universality. In this talk, we will focus on an intriguing class of quantum many-body models known as lattice gauge theories, which host local symmetries that can lead to rich physics with direct relevance to both condensed matter and high-energy physics. We will cover theoretical works illustrating their intriguing dynamics, in addition to large-scale experiments realizing them in one and two spatial dimensions on actual quantum hardware. We will end by showcasing theoretical proposals for next-generation quantum simulators, the goal of which will be to probe the physics of lattice gauge theories in higher spatial dimensions and with more complex local symmetries, including non-Abelian gauge groups, that can potentially connect to collider physics.