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arXiv · 2208.00991

Two-site anyonic Josephson junction

A. Brollo·A. Veronese·L. Salasnich
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Abstract

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

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A. Brollo, A. Veronese, L. Salasnich. 2022-08-01. Two-site anyonic Josephson junction. https://doi.org/10.1103/physreva.106.023308

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