Barrier transmission for the Nonlinear Schrödinger Equation: Surprises of nonlinear transport

Details Barrier transmission for the Nonlinear Schrödinger Equation: Surprises of nonlinear transport Barrier transmission for the Nonlinear Schrödinger Equation: Surprises of nonlinear transport

2008-05-14

arxiv.org/abs/0805.2078v2

J. Phys. A: Math. Theor. 41 (2008) 355001

Physics

Quantum Physics

7 pages, 2 figures

Scientific paper

10.1088/1751-8113/41/35/355001

In this communication we report on a peculiar property of barrier transmission that systems governed by the nonlinear Schroedinger 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 waveguide

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