Recently, experimental realizations of this model have been achieved in optical lattices, first a bosonic analogue and later 
Recently, experimental realizations of this model have been achieved in optical lattices, first a bosonic analogue and later the original fermionic version in work of K?hl et al. An important limiting case was derived by Spalek in 1977, applying a projection operator to remove double-occupancy states. This is a large U limit of it, called the t-J model. It was introduced by its namesake in 1963 in a study that revealed a type of metal-insulator transition. Its Hamiltonian involves a hopping term that moves an electron from one site to another, and a potential energy term giving on-site Coulomb repulsion. For 10 points, what is this model of interacting electrons, introduced in 1963 by a British physicist who also invented a transformation named for him and Stratonovich?
Recently, experimental realizations of this model have been achieved in optical lattices, first a bosonic analogue and later the original fermionic version in work of K?hl et al.
Hubbard model