Quantum entanglement in the one-dimensional anyonic Hubbard model

Abstract

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.