Quantum Entanglement in the One-Dimensional Anyonic Hubbard Model

TL;DR

This paper investigates quantum entanglement in a one-dimensional anyonic Hubbard model, analyzing how anyonic statistics influence entanglement measures and correlations through theoretical calculations.

Contribution

It extends the information theoretic approach to quantum entanglement to systems with anyonic statistics, providing detailed analysis in a two-site Hubbard model.

Findings

Entanglement measures depend on the anyonic statistics parameter.

Local and non-local measurement outcomes vary with particle statistics.

Correlation functions reveal unique features of anyonic quantum states.

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 analysed in the two-site anyonic Hubbard model which provides a concrete case-study. The von Neumann entropy, the single-particle 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.