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Explore the hydrodynamics of nearly integrable quantum gases in this 30-minute conference talk delivered at the International Centre for Theoretical Sciences. Delve into the theoretical framework that bridges integrable and non-integrable systems, examining how small perturbations affect the hydrodynamic behavior of quantum gases. Learn about the mathematical formalism used to describe transport properties and collective dynamics in systems that are close to integrability, including the role of conservation laws and their breaking. Discover how nearly integrable models provide insights into real physical systems where perfect integrability is broken by weak interactions or external fields. Understand the connection between microscopic quantum mechanics and macroscopic hydrodynamic equations in these systems, and examine specific examples of how integrability-breaking terms modify transport coefficients and relaxation dynamics. This presentation is part of a comprehensive workshop on "Hydrodynamics, Fluctuations, and Noise in quantum and classical systems" that brings together researchers from classical statistical physics, quantum many-body theory, and string theory to explore convergent themes in nonequilibrium thermodynamics.
