2010/08/31 by Stefan Rotter, Philipp Ambichl, Florian Libisch · 59 citations
Mathematics · Physics and Astronomy · #Chaotic #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Eigenvalues and eigenvectors #Mathematics #Matrix (chemical analysis) #Physics #Quantum mechanics #Quantum optics and atomic interactions #Random lasers and scattering media #Realization (probability) #Scattering #Scattering theory #Statistical physics #Telecommunications #Transmission (telecommunications) #Wave function #cond-mat.dis-nn #cond-mat.mes-hall #physics.optics
paper · pdf · doi:10.1103/physrevlett.106.120602
published in Physical Review Letters 106(12), 120602 (American Physical Society) · 4 pages, 3 figures, plus supplemental material (final version)
openalex publication_date 2011/03/25 · arxiv created 2011/04/15 · arxiv updated 2011/05/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We introduce a procedure to generate scattering states which display trajectorylike 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 Q and to the transmission matrix t(†)t with classical (noiseless) transmission eigenvalues close to 0 or 1. Our procedure to create such beamlike 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 such as secure and low-power communication.