English

The $\mathbb{C}$P(2) Model at Non-Zero Chemical Potential

High Energy Physics - Lattice 2016-11-03 v2 Quantum Physics

Abstract

Recently the simulation of quantum field theories using man-made physical systems has become realistic. In this publication we present numerical results which support the use of quantum simulation experiments to study quantum field theories at non-zero chemical potential. We have numerically simulated the (1+1)-d C\mathbb{C}P(2) model, which shares several interesting features with QCD, namely asymptotic freedom, a dynamically generated mass gap and topological sectors, via dimensional reduction of a (2+1)-d microscopic theory of SU(3) quantum spins. Numerical results for the particle number density as a function of chemical potential are presented.

Keywords

Cite

@article{arxiv.1610.08826,
  title  = {The $\mathbb{C}$P(2) Model at Non-Zero Chemical Potential},
  author = {Wynne Evans and Urs Gerber and Uwe-Jens Wiese},
  journal= {arXiv preprint arXiv:1610.08826},
  year   = {2016}
}

Comments

7 pages, 5 figures. Presented at the 34th International Symposium on Lattice Field Theory, 24-30 July 2016, University of Southampton, UK; figure legend and acknowledgements updated

R2 v1 2026-06-22T16:34:07.745Z