Applications of Random Matrix Theory to many-body physics: September 16 – 20, 2019.

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Organized by Boris Altshuler, Anatoly Dymarsky, Lea Santos, Jacobus Verbaarschot.

One of the most fundamental questions of quantum dynamics is how a many-body quantum system approaches equilibrium. At the classical level, equilibration of many-body systems is well understood, with all relevant timescales being mapped out microscopically. Similarly the relation between equilibration of classical many-body systems and chaos encoded by the Lyapunov exponents is also firmly established. Extending this picture to the quantum level is currently a very active topic of research.

The central problem at the quantum level is to determine the relevant timescales governing equilibration dynamics and to identify physical quantities, which may exhibit various degrees of universal behavior. A closely related question, which will be the focal point of the workshop, is the role of Random Matrix Theory in describing emergent universality. The related issues include various ways to define Thouless time for interacting quantum many-body systems and the connection between spectral statistics of quantum systems and dynamical manifestations of chaos, to name just a few. This workshop will gather researchers from condensed matter physics, high energy physics and quantum information science, to outline new promising directions in the field of nonequilibrium many-body quantum dynamics. This workshop is associated with the program: Universality and ergodicity in quantum many-body systems: August 26-October 18, 2019