Quantum entanglement in the one-dimensional anyonic Hubbard model

Issues related to quantum entanglement in systems of indistinguishable particles, as discussed in the information theoretic approach, are extended to anyonic statistics. Local and non local measurements discussed in this framework are carefully analyzed in the two-site anyonic Hubbard model which provides a concrete case-study. The von Neumann entropy, the single particle reduced density matrix, the pair correlation function, and the pseudo-momentum distribution function are worked out paying special attention to the dependence on the statistics parameter. Restrictions arising from superselection rules for anyons are outlined. (C) 2022 Elsevier Inc. All rights reserved.