Transforming Signs to Phase Distributions in Quantum Simulations
comp-gas
2009-10-22 v1 Condensed Matter
Cellular Automata and Lattice Gases
Abstract
A method is developed which speeds up averaging in quantum simulations where minus signs cause difficulties. A Langevin equation method in conjunction with a replication algorithm is used enabling one to average over a continuously varying complex number. Instead of ensemble averaging this number directly, the phase of the complex number is followed over time. The method is illustrated in some simple cases where the answers obtained can be compared to exact results, and also compared to conventional averaging procedures which converge orders of magnitude slower than this method. Limitations of this method are also described.
Keywords
Cite
@article{arxiv.comp-gas/9404001,
title = {Transforming Signs to Phase Distributions in Quantum Simulations},
author = {J. M. Deutsch},
journal= {arXiv preprint arXiv:comp-gas/9404001},
year = {2009}
}
Comments
7 pages Revtex 3.0 and psfig1.8. Five postcript figures. Use uufiles to decode