Projected Zipper Entanglement Renormalization State

The ideas of the real-space renormalization group (RG) have been successfully used as the simulation algorithm of strongly correlated systems such as the Density Matrix Renormalization Group. In this work, we introduce a new state-based framework, Zipper Entanglement renormalization, to approximate a Gutzwiller projected ground state. The projected ground state is then represented as a tensor network (TN) which is translationally invariant for each RG step. The construction of TN for the Gutzwiller projector is easily generalized to other short-range entangled operators, which serve to model local interactions in physical systems. This TN representation of the projected ground state is used to compute the expectation values of physical operators, such as the momentum distribution.