Generating particle-like scattering states in wave transport

Abstract

We introduce a procedure to generate scattering states which display trajectory-like wave function patterns in wave transport through complex scatterers. These deterministic scattering states feature the dual property of being eigenstates to the Wigner-Smith time-delay matrix and to the transmission matrix with classical (noiseless) transmission eigenvalues close to 0 or 1. Our procedure to create such beam-like states is based solely on the scattering matrix and successfully tested numerically for regular, chaotic and disordered cavities. These results pave the way for the experimental realization of highly collimated wave fronts in transport through complex media with possible applications like secure and low-power communication.

4 pages, 3 figures, plus supplemental material (final version)

References in corpus (5)

• Universal optimal transmission of light through disordered materials
• Dynamical model for the quantum-to-classical crossover of shot noise
• Ballistic quantum transport at high energies and high magnetic fields
• Noiseless scattering states in a chaotic cavity
• Statistics of Transmission Eigenvalues in Two-Dimensional Quantum Cavities: Ballistic versus Stochastic Scattering