Time-dependent simulations of quantum waveguides using a time-splitting spectral method

Ansgar Jüngel and Jan-Frederik Mennemann

Mathematics and Computers in Simulation (MATCOM), 2010, vol. 81, issue 4, 883-898

Abstract: The electron flow through quantum waveguides is modeled by the time-dependent Schrödinger equation with absorbing boundary conditions, which are realized by a negative imaginary potential. The Schrödinger equation is discretized by a time-splitting spectral method, and the quantum waveguides are fed by a mono-energetic incoming plane wave pulse. The resulting algorithm is extremely efficient due to the Fast Fourier Transform implementation of the spectral scheme. Numerical convergence rates for a one-dimensional scattering problem are calculated. The transmission rates of a two-dimensional T-stub quantum waveguide and a single-branch coupler are numerically computed. Moreover, the transient behavior of a three-dimensional T-stub waveguide is simulated.

Keywords: Schrödinger equation; Absorbing boundary conditions; Quantum transistor; Three-dimensional dynamical simulations (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:81:y:2010:i:4:p:883-898

DOI: 10.1016/j.matcom.2010.09.013

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