Quantum Entanglement In One-Dimensional Anyons

TL;DR

This paper investigates how quantum entanglement between two one-dimensional anyons varies with their statistical properties, bridging bosonic and fermionic behaviors through boundary condition analysis.

Contribution

It introduces a method to model one-dimensional anyons using Robin boundary conditions, enabling interpolation between bosonic and fermionic limits.

Findings

Entanglement varies smoothly with anyonic statistics

Boundary conditions effectively interpolate between particle types

Provides a framework for analyzing quantum correlations in 1D anyons

Abstract

Anyons in one spatial dimension can be defined by correctly identifying the configuration space of indistinguishable particles and imposing Robin boundary conditions. This allows an interpolation between the bosonic and fermionic limits. In this paper, we study the quantum entanglement between two one-dimensional anyons on a real line as a function of their statistics.