Breaking Ergodicity - Quantum Scars and Regular Eigenstates

Explore a detailed physics seminar from the Topological Quantum Matter series where Ceren Dag from Harvard discusses quantum many-body scars (QMBS) and their role in breaking ergodicity. Delve into the relationship between low-entropy eigenstates in chaotic many-body spectrums and the original single-particle scars in quantum billiards. Learn about a many-body spinor condensate system with collective interactions, examining its dynamics, spectrum, and phase space characteristics. Understand how regular states violate the Eigenstate Thermalization Hypothesis (ETH) while connecting to integrable effective Hamiltonians, and discover how chaotic states exhibit scarring from semiclassical unstable periodic orbits while maintaining ETH compliance. Examine a proposed experimental approach using trapped spin-1 Bose-Einstein condensates and gain insights into recent developments in spatial dimensionality and quantum scar persistence in many-body systems.