# Realizing Z2 lattice gauge theories coupled to matter

Post date: Oct 12, 2019

In a recent preprint, we explain how Z2 lattice gauge theories with couplings to a matter field can be implemented in current ultracold atom experiments. We use DMRG simulations to derive the phase diagram in two-leg ladder model, where we reveal various phases. When tuning the ratio of some microscopic tunnel couplings we predict a transition from a disordered phase to an ordered phase dominated by a Z2 magnetic field with gapped vison excitations. We also demonstrate how 2D lattice gauge theories with local symmetries can be implemented.

The work has been published in Science Advances:

L. Barbiero, C. Schweizer, M. Aidelsburger, E. Demler, N. Goldman, F. Grusdt, Coupling ultracold matter to dynamical gauge fields in optical lattices: From flux-attachment to Z2 lattice gauge theories, Science Advances 5, no. 10, eaav7444.