Dive into a 49-minute conference talk exploring entangled quantum matter using programmable atom arrays, presented by Mikhael Lukin from Harvard University. Recorded during the Noisy Intermediate-Scale Quantum Systems: Advances and Applications conference at the Kavli Institute for Theoretical Physics, this presentation offers insights into recent advancements in integrable models across mathematical physics, condensed-matter physics, and string theory. Discover the latest developments in integrable deformations of CFTs and IQFTs, non-equilibrium dynamics of integrable spin-chains, and integrable structures in AdS/CFT correspondence. Gain a comprehensive understanding of the field, suitable for integrability practitioners from various backgrounds, as part of an effort to unite researchers across disciplines and provide a pedagogical overview of recent progress in quantum systems.