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In this talk I will given an overview of pure state quantum statistical mechanics, which is a new way of understanding issues at the foundation of statistical mechanics and thermodynamics. In particular, I will explain recent developments concerning equilibration and thermalization in closed quantum many-body systems. We will see how equilibration and thermalization can be defined in unitarily evolving and finite dimensional quantum systems, under which conditions they can be proved to happen, and what we know about the apparent equilibrium states. I will further speak about general results on structural properties both short- and long-range interacting many-body systems, with a focus on the decay of correlations in their thermal states. Finally, I will provide a glimpse of ongoing work concerning the use of machine learning tools form many-body physics and point out opportunities for future work.

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Christian Gogolin, ICFO Barcelona
Seminar Room 0.03, ETP
Contact: Simon Trebst