The walk-sum method for simulating quantum many-body systems
Quantum Physics
2014-04-16 v2 Mathematical Physics
math.MP
Abstract
We present the method of walk-sum to study the real-time dynamics of interacting quantum many-body systems. The walk-sum method generates explicit expressions for any desired pieces of an evolution operator U independently of any others. The computational cost for evaluating any such piece at a fixed order grows polynomially with the number of particles. Walk-sum is valid for systems presenting long-range interactions and in any geometry. We illustrate the method by means of two physical systems.
Cite
@article{arxiv.1204.5087,
title = {The walk-sum method for simulating quantum many-body systems},
author = {Pierre-Louis Giscard and Martin Kiffner and Dieter Jaksch},
journal= {arXiv preprint arXiv:1204.5087},
year = {2014}
}
Comments
This paper has been withdrawn because of as yet unresolved convergence issues of the method