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Explore a 40-minute lecture by Frank Pollmann at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI) that delves into non-equilibrium topological order on quantum processors. Presented as part of the Thematic Programme on "Entanglement in Many-body Quantum Matter: Dynamics, Dissipation, Equilibration," this talk investigates out-of-equilibrium phases in many-body systems as a new paradigm in quantum matter. Learn how these systems exhibit dynamical properties that may be forbidden by equilibrium thermodynamics, with special focus on periodically driven (Floquet) systems that are challenging to simulate classically due to high entanglement. Discover how an array of superconducting qubits can realize a Floquet topologically ordered state, image the characteristic dynamics of chiral edge modes, and characterize emergent anyonic excitations. The lecture explains an interferometric algorithm that introduces and measures a bulk topological invariant to probe the dynamical transmutation of anyons for system sizes up to 58 qubits, demonstrating how quantum processors provide key insights into the largely unexplored landscape of highly entangled non-equilibrium phases of matter.
