English

The density of states approach to dense quantum systems

High Energy Physics - Lattice 2014-11-11 v1 High Energy Physics - Phenomenology High Energy Physics - Theory

Abstract

We develop a first-principle generalised density of state method for studying numerically quantum field theories with a complex action. As a proof of concept, we show that with our approach we can solve numerically the strong sign problem of the Z3Z_3 spin model at finite density. Our results are confirmed by standard simulations of the theory dual to the considered model, which is free from a sign problem. Our method opens new perspectives on ab initio simulations of cold dense quantum systems, and in particular of Yang-Mills theories with matter at finite densities, for which Monte Carlo based importance sampling are unable to produce sufficiently accurate results.

Keywords

Cite

@article{arxiv.1404.7187,
  title  = {The density of states approach to dense quantum systems},
  author = {Kurt Langfeld and Biagio Lucini},
  journal= {arXiv preprint arXiv:1404.7187},
  year   = {2014}
}

Comments

4 pages, 3 figures