2008/05/31 by Kevin Rapedius, K. Rapedius, H. J. Korsch
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Mechanical and Optical Resonators #Nonlinear Photonic Systems #quant-ph
paper · pdf · doi:10.1088/1751-8113/41/35/355001
published as J. Phys. A: Math. Theor. 41 (2008) 355001 · 7 pages, 2 figures
arxiv created 2008/07/03 · openalex publication_date 2008/07/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Abstract. In this communication we report on a peculiar property of barrier transmission that systems governed by the nonlinear Schrödinger equation share with the linear one: For unit transmission the potential can be divided at an arbitrary point into two sub-potentials, a left and a right one, which have exactly the same transmission. This is a rare case of an exact property of a nonlinear wave function which will be of interest, e.g., for studies of coherent transport of Bose-Einstein condensates through mesoscopic waveguides.