Real-time evolution in the Hubbard model with infinite repulsion

We consider the real-time evolution of Hubbard model in limit infinite coupling. In this Hamiltonian system is mapped into a number-conserving quadratic form spinless fermions, i.e. tight binding model. The relevant local observables, however, do not transform well under mapping and take very complicated expressions terms fermions. Here we show that for two classes interesting observables quench dynamics from product states occupation basis can be determined exactly correlations tight-binding particular, time any function total density particles directly same fermions Moreover, express two-point functions spin-full at after This sum generically but it leads to simple explicit densities separate species between point boundary one bulk when evolving so called generalised nested N\'eel states.