Imaginary time propagation code for large-scale two-dimensional eigenvalue problems in magnetic fields
Abstract
We present a code for solving the single-particle, time-independent Schr\"odinger equation in two dimensions. Our program utilizes the imaginary time propagation (ITP) algorithm, and it includes the most recent developments in the ITP method: the arbitrary order operator factorization and the exact inclusion of a (possibly very strong) magnetic field. Our program is able to solve thousands of eigenstates of a two-dimensional quantum system in reasonable time with commonly available hardware. The main motivation behind our work is to allow the study of highly excited states and energy spectra of two-dimensional quantum dots and billiard systems with a single versatile code, e.g., in quantum chaos research. In our implementation we emphasize a modern and easily extensible design, simple and user-friendly interfaces, and an open-source development philosophy.
Cite
@article{arxiv.1311.1355,
title = {Imaginary time propagation code for large-scale two-dimensional eigenvalue problems in magnetic fields},
author = {P. J. J. Luukko and E. Räsänen},
journal= {arXiv preprint arXiv:1311.1355},
year = {2015}
}
Comments
Fixed terminology in orthonormalization algorithms