Anyons are particles with intermediate quantum statistics whose wave function acquires a phase eiθ 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.
Two-site anyonic Josephson junction
Salasnich L.
2022
Abstract
Anyons are particles with intermediate quantum statistics whose wave function acquires a phase eiθ 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.Pubblicazioni consigliate
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