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Explore the theoretical framework of path integrals and quantum field theories as applied to monitored quantum systems in this 45-minute conference talk. Delve into the mathematical formalism that describes quantum systems under continuous observation, examining how monitoring affects quantum dynamics and the emergence of novel quantum phases. Learn about the path integral approach to understanding measurement-induced phase transitions and the field-theoretic description of quantum trajectories in monitored systems. Discover how continuous measurements can drive quantum systems into unique steady states and create new universality classes distinct from traditional quantum critical phenomena. Gain insights into the interplay between quantum mechanics, statistical mechanics, and field theory in the context of modern quantum information and many-body physics, with applications to quantum computing, quantum sensing, and fundamental questions about the quantum-to-classical transition.
