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Explore the mathematical foundations of quantum quenches in integrable spin chains and their connection to the Maldacena duality in this 45-minute conference talk. Discover how overlaps between matrix product states and Bethe eigenstates contain crucial information about correlation functions in quantum field theory and post-quench behavior in spin chain systems. Learn the exact calculation methods for determining these overlaps and understand their significance in both the AdS/CFT correspondence and quantum many-body physics. Gain insights into the interplay between quantum field theory, integrable systems, and quantum information theory through the lens of the celebrated holographic duality.
