The HADES seminar on Tuesday, September 27th will be at 3:30 pm in Room 740.
Speaker: Yonah Borns-Weil
Abstract: We study the trajectories of a quantum particle in a detector under repeated indirect measurement, in the semiclassical regime. We extend the results of Benoist, Fraas, and Fröhlich to discrete-time quantum maps on the quantized torus, and provide the first numerics illustrating the results. In addition, we derive quantitative bounds on the convergence to a classical trajectory based on classical dynamical measures of chaos of the system. No prior knowledge of quantum mechanics will be assumed. This is joint work with Izak Oltman.