Proposal for the Quantum Simulation of the CP(2) Model on Optical Lattices

Understand

The 2d CP(N-1) models share a number of features with QCD, like asymptotic freedom, a dynamically generated mass gap and topological sectors.

• They have been formulated and analysed successfully in the framework of the so-called D-theory, which provides a smooth access to the continuum limit.
• In that framework, we propose an experimental set-up for the quantum simulation of the CP(2) model.
• It is based on ultra-cold Alkaline-Earth Atoms (AEAs) located on the sites of an optical lattice, where the nuclear spins represent the relevant degrees of freedom.