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We study the bipartite entanglement of strongly correlated systems usingexact diagonalization techniques. In particular, we examine how theentanglement changes in the presence of long-range interactions by studying thePariser-Parr-Pople model with long-range interactions. We compare the resultsfor this model with those obtained for the Hubbard and Heisenberg models withshort-range interactions. This study helps us to understand why the densitymatrix renormalization group (DMRG) technique is so successful even in thepresence of long-range interactions. To better understand the behavior oflong-range interactions and why the DMRG works well with it, we study theentanglement spectrum of the ground state and a few excited states of finitechains. We also investigate if the symmetry properties of a state vector haveany significance in relation to its entanglement. Finally, we make aninteresting observation on the entanglement profiles of different states(across the energy spectrum) in comparison with the the corresponding profileof the density of states. We use isotropic chains and a molecule withnon-Abelian symmetry for these numerical investigations.

Exact Entanglement Studies of Strongly Correlated Systems: Role of Long-Range Interactions and Symmetries of the System