Скачать или смотреть Refining ETH with Free Probability: Quantum Thermalization Breakthrough Explained

Eigenstate Thermalization Hypothesis
Free Probability in Quantum Systems
Local Rotational Invariance
Dive into the latest advancements in quantum physics as researchers refine the Eigenstate Thermalization Hypothesis (ETH) using tools from free probability theory. This video breaks down how local rotational invariance impacts matrix elements in Floquet systems, offering precise predictions for thermalization in isolated quantum systems.
Discover the connection between statistical properties of quantum observables and empirical averages, validated through numerical simulations. Learn about subleading corrections, factorization behaviors, and the role of disorder in these complex systems.
Perfect for students, researchers, and enthusiasts interested in statistical mechanics, quantum chaos, and many-body physics. We explore toy models, non-crossing partitions, and future directions for stronger disorder and longer-range interactions.
Key concepts: ETH ansatz, full ETH, matrix element correlations, and rotational invariance under small Hamiltonian changes.