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

被引：6

作者：

Juengel, Ansgar ^{[1
]}

Mennemann, Jan-Frederik ^{[1
]}

机构：

[1] Vienna Univ Technol, Inst Anal & Sci Comp, A-1040 Vienna, Austria

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2010年 / 81卷 / 04期

基金：

奥地利科学基金会;

关键词：

Schrodinger equation; Absorbing boundary conditions; Quantum transistor; Three-dimensional dynamical simulations; PERFECTLY MATCHED LAYER; NONLINEAR SCHRODINGER-EQUATIONS; TRANSPARENT BOUNDARY-CONDITIONS; TRANSPORT; TRANSISTORS;

D O I：

10.1016/j.matcom.2010.09.013

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The electron flow through quantum waveguides is modeled by the time-dependent Schrodinger equation with absorbing boundary conditions, which are realized by a negative imaginary potential. The Schrodinger 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. (C) 2010 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：883 / 898

页数：16

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