Two-site anyonic Josephson junction

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.

arXiv comment7 pages, 3 figures, accepted for publication in Physical Review A

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Cited by in corpus (1)

• Coherence Properties of the Repulsive Anyon-Hubbard Dimer