A Variance Reduction Technique for the Stochastic Liouville-von Neuman Equation
Statistical Mechanics
2019-09-04 v1 Computational Physics
Quantum Physics
Abstract
The Stochastic Liouville-von Neumann equation provides an exact numerical simulation strategy for quantum systems interacting with Gaussian reservoirs [J.T. Stockburger & H. Grabert, PRL 88, 170407 (2002)]. Its scaling with the extension of the time interval covered has recently improved dramatically through time-domain projection techniques [J.T. Stockburger, EPL 115, 40010 (2016)]. Here we present a sampling strategy which results in a significantly improved scaling with the strength of the dissipative interaction, based on reducing the non-unitary terms in sample propagation through convex optimization techniques.
Keywords
Cite
@article{arxiv.1812.05960,
title = {A Variance Reduction Technique for the Stochastic Liouville-von Neuman Equation},
author = {Konstantin Schmitz and Jürgen T. Stockburger},
journal= {arXiv preprint arXiv:1812.05960},
year = {2019}
}
Comments
9 pages, 2 figures, 2 tables