A Photon-Assisted Tunneling Quantum Simulator of Strongly-Correlated Electrons and Dynamical Gauge Fields in Optical Lattices
Dr. Alejandro Bermúdez Carballo (Swansea University)

In this talk, I will describe a quantum simulation scheme for ultracold neutral atoms that combines photon-assisted tunnelling by a moving optical lattice with strong Hubbard interactions. I will discuss how to exploit such a scheme to study quantum many-body models arising in three different contexts: (i) Generalised Hubbard models with with tunable bond-charge interactions, (ii) a t-J model with independently controllable tunnelling strength, super-exchange interaction, and even a Heisenberg-Ising anisotropy, and (iii) certain models of dynamical Gauge fields, where atoms of a given electronic state dress the tunnelling of the atoms with a different internal state, leading to Peierls phases that mimic a dynamical "Gauge" field.