SAMOP 2023 – scientific programme
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QI: Fachverband Quanteninformation
QI 2: Quantum Foundations
QI 2.2: Talk
Monday, March 6, 2023, 11:15–11:30, B302
Bohmian Trajectories of Quantum Walks — •Florian Huber1,2,3, Carlotta Versmold1,2,3, Jan Dziewior1,2,3, Lukas Knips1,2,3, Eric Meyer4, Harald Weinfurter1,2,3, Alexander Szameit4, and Jasmin Meinecke1,2,3 — 1Department für Physik, Ludwig-Maximilians-Universität, Munich, Germany — 2Max-Planck-Institut für Quantenoptik, Garching, Germany — 3Munich Center for Quantum Science and Technology (MCQST), Munich, Germany — 4Institute of Physics, University of Rostock, Germany
Quantum walks are the quantum mechanical analogue of classical random walks. While in classical mechanics each particle follows a definite trajectory, in standard quantum mechanics (QM) no such description of the coherent propagation of the quantum walker is possible. However, certain interpretations of QM, as for example Bohmian mechanics, a non-local hidden variable theory, attribute definite positions and momenta to particles and therefore allow to visualize particle trajectories.
For photons these Bohmian trajectories correspond to energy flow lines given by the Poynting vector in classical electrodynamics and can be reconstructed from weak measurements. We report on the simulation and first measurement results of such energy flow lines of a quantum walk, realized in an integrated waveguide array written into fused silica substrate. By analyzing different time steps of the quantum walk evolution we are able to reconstruct the trajectories giving information about the energy flow in quantum walk structures.