Signatures of attractive and repulsive interactions on quantum correlations in the Hubbard Model
Andrea Beggi, Luca Razzoli, Paolo Bordone · arXiv (Cornell University) · 2016
We study the dynamics and the entanglement between two interacting identical bosons performing a quantum walk on a 1D lattice. The system is described by the Hubbard model, and the interaction among the particles can be either attractive or repulsive. We show that there are clear signatures - both in the evolution and in the correlations - that allow a distinction between the two cases, and we demonstrate that these features result to be intimately connected with the bandstructure and the eigenstates of the Hubbard Hamiltonian.