Berlin 2024 – wissenschaftliches Programm
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QI: Fachverband Quanteninformation
QI 12: Poster I
QI 12.17: Poster
Dienstag, 19. März 2024, 11:00–14:30, Poster B
Bohmian Trajectories of Quantum Walks — •Florian Huber1,2,3, Carlotta Versmold1,2,3, Jan Dziewior1,2,3, Lukas Knips1,2,3, Eric Meyer4, Alexander Szameit4, and Jasmin D. A. Meinecke1,2,3,5 — 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 — 5Institute of Solid State Physics, Technische Universität Berlin, Germany
Classical random walks as well as quantum random walks are an important tool to describe the information and energy flow inside of a physical system. 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. We simulate the quantum random walk of a particle in a multi-well potential with photons propagating in an integrated waveguide array written into fused silica substrate. In this case the Bohmian velocity correspond to the the Poynting vector in classical electrodynamics and can be reconstructed from weak measurements. By analyzing numerous time steps of the evolution we can reconstruct the energy flow lines which correspond to the Bohmian trajectories.
Keywords: Bohmian Mechanics; Waveguide; Weak Measurement; Quantum Walk