New Probes of the t-J Model in Quantum Gas Microscopes

In this talk I’m going to present a measurement scheme for the single-particle spectral function that allows quantum gas microscopes to perform experiments similar to angle-resolved photoemission spectroscopy in conventional condensed matter systems. As an example for possible applications, we numerically calculate the spectrum of a single hole excitation in 1D t-J models with isotropic and anisotropic antiferromagnetic couplings. A sharp asymmetry in the distribution of spectral weight appears when a hole is created in an isotropic Heisenberg spin chain. This effect slowly vanishes for anisotropic spin interactions and disappears completely in the case of pure Ising interactions. I will introduce a slave-fermion mean field theory, which provides an intuitive physical picture for this behavior. As an outlook, I will discuss possible measurements in two dimensions.