Many approximations in Quantum Physics rely on a separation of scale, such as the adiabatic theorem, Trotter dynamics, the Rotating Wave Approximation, the Zeno effect, to name a few. Over the last few years, our group has focused on developing error bounds for such approximations. Roughly speaking, the methodology can be split into three different mathematical scenarios: bounded energy scale, unbounded energy scale, and bounded but extensive scale, with the latter being relevant for many-body systems. This informal seminar collects some of the bounds we found and outlines the technical challenges mostly for the first two scenarios.
Daniel Burgarth (Erlangen-Nürnberg): Error bounds for quantum dynamics with scale separation
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