• Corpus ID: 252762633

Particle Trajectories for Quantum Maps

  title={Particle Trajectories for Quantum Maps},
  author={Yonah Borns-Weil and Izak Oltman},
. 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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