Two-site anyonic Josephson junction

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

Automated summary

This study investigates various properties of a two-site anyonic Josephson junction, such as Josephson frequency, imbalanced solutions, macroscopic quantum self-trapping, coherence visibility, and condensate fraction, and highlights the crucial role of the anyonic angle. The theoretical predictions serve as an important reference for future experimental quantum simulations of anyonic matter in double-well potentials.