• Corpus ID: 252762633

Particle Trajectories for Quantum Maps

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

• Yonah Borns-Weil, Izak Oltman
• Published 6 October 2022
• Physics, Mathematics

. 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 of the classical system, which is larger when the system is “less chaotic”. In addition, we present numerical simulations of these effects.