La tradizionale Boltzmann Lecture per il 2023 sarà tenuta mercoledì 22 alle 15:00, in Aula 128-129. La lezione sarà tenuta da Fabian Essler, Professorial Research Fellow presso il Rudolf Peierls Centre for Theoretical Physics dell'Università di Oxford, con il titolo Eigenstate Thermalization and Conservation Laws.
Abstract: How do isolated many-particle quantum systems relax and ultimately give rise to the laws of Statistical Mechanics is a question that has exercised theoretical physicists since the early days of Quantum Theory. Much of our current understanding is based on a set of ideas known as the Eigenstate Thermalization Hypothesis (ETH). The latter provides statistical information of properties of energy eigenstates of “generic” systems, viewed through the lens of “few-body” physical observables. After reviewing the basics of eigenstates thermalization I turn to the question what takes the role of the ETH for integrable many-particle quantum systems. These are characterized by the existence of a macroscopic number of conservation laws, which lead to a much richer structure of energy eigenstates at finite energy densities.
Fabian Essler is a condensed matter theorist who focuses on low dimensional quantum many-body systems. He has a long-standing interest in quantum integrable models and classical driven diffusive systems. He co-authored a monograph on the exact solution of the one dimensional Hubbard model. Some of his current research interests include non-equilibrium evolution in quantum many-body systems, finite-temperature dynamical response in integrable models, and stochastic quantum dynamics.