Two-site anyonic Josephson junction

Anyons are particles with intermediate quantum statistics whose wavefunction acquires a phase $e^{i\theta}$ by particle exchange. Inspired proposals of simulating anyons using ultracold atoms trapped in optical lattices, we study two-site anyonic Josephson junction, i.e. confined one-dimensional double-well potential. We show, analytically and numerically, that many properties junctions, such as frequency, imbalanced solutions, macroscopic self-trapping, coherence visibility, condensate fraction, crucially depend on the angle $\theta$. Our theoretical predictions solid benchmark for near future experimental simulations matter potentials.