# Particle Trajectories for Quantum Maps

@inproceedings{BornsWeil2022ParticleTF, title={Particle Trajectories for Quantum Maps}, author={Yonah Borns-Weil and Izak Oltman}, year={2022} }

. We study the trajectories of a semiclassical quantum particle under repeated indirect measurement by Kraus operators, in the setting of the quantized torus. In between measurements, the system evolves via either Hamiltonian prop-agators or metaplectic operators. We show in both cases the convergence in total variation of the quantum trajectory to its corresponding classical trajectory, as deﬁned by propagation of a semiclassical defect measure. This convergence holds up to the Ehrenfest time…

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