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PoS(LATTICE2016)041

The CP(2) Model at Nonzero Chemical Potential

W. Evans, U. Gerber, U.J. Wiese

in 34th annual International Symposium on Lattice Field Theory

Contribution: pdf

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 $\mathbb{C}$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.