Two-site anyonic Josephson junction

TL;DR

This paper investigates a two-site anyonic Josephson junction, revealing how the unique anyonic phase influences key quantum phenomena, providing theoretical insights for future experimental simulations of anyonic systems.

Contribution

It provides the first detailed analytical and numerical analysis of an anyonic Josephson junction, highlighting the dependence of quantum properties on the anyonic phase.

Findings

Josephson frequency varies with anyonic angle

Macroscopic quantum self-trapping depends on $ heta$

Coherence and condensate fraction are influenced by anyonic statistics

Abstract

Anyons are particles with intermediate quantum statistics whose wavefunction acquires a phase $e^{i\theta}$ 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 $\theta$. Our theoretical predictions are a solid benchmark for near future experimental quantum simulations of anyonic matter in double-well potentials.