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Explore the competitive landscape between quantum computers and classical numerical algorithms in this seminar lecture examining non-equilibrium quantum many-body dynamics. Delve into the challenges of simulating dynamical processes in quantum many-body systems and discover how advanced numerical methods using neural and tensor networks compete with current quantum computing capabilities. Focus on the quantum Ising model on a square lattice as a case study, analyzing how this fundamental many-body system behaves when driven out of equilibrium by time-dependent transverse fields. Gain insights into the ongoing race for computational supremacy in quantum simulation, understanding both the potential of quantum simulators and the sophisticated classical approaches that challenge them. Learn about the theoretical foundations and practical implications of different simulation strategies for understanding complex quantum phenomena in condensed matter physics.
