Onset of Quantum Chaos and Ergodicity in Spin Systems with Highly Degenerate Hilbert Spaces

Explore the onset of quantum chaos and ergodicity in spin systems featuring highly degenerate Hilbert spaces through this 43-minute conference talk. Delve into the fundamental principles governing quantum many-body dynamics, thermalization processes, and their violations in complex quantum systems. Examine how degeneracy in Hilbert spaces affects the emergence of chaotic behavior and ergodic properties in spin-based quantum systems. Learn about the theoretical frameworks and mathematical approaches used to analyze these phenomena, including the conditions under which quantum systems transition from regular to chaotic dynamics. Understand the implications of these findings for quantum thermalization, many-body localization, and the broader understanding of quantum statistical mechanics in isolated quantum systems.