Realization of 1D Anyons with Arbitrary Statistical Phase

Paper

Realization of 1D Anyons with Arbitrary Statistical Phase

Published Jun 2, 2023 · Joyce Kwan, P. Segura, Yan-Fang Li

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Abstract

Low-dimensional quantum systems can host anyons, particles with exchange statistics that are neither bosonic nor fermionic. Despite indications of a wealth of exotic phenomena, the physics of anyons in one dimension (1D) remains largely unexplored. Here, we realize Abelian anyons in 1D with arbitrary exchange statistics using ultracold atoms in an optical lattice, where we engineer the statistical phase via a density-dependent Peierls phase. We explore the dynamical behavior of two anyons undergoing quantum walks, and observe the anyonic Hanbury Brown-Twiss effect, as well as the formation of bound states without on-site interactions. Once interactions are introduced, we observe spatially asymmetric transport in contrast to the symmetric dynamics of bosons and fermions. Our work forms the foundation for exploring the many-body behavior of 1D anyons.

Study Snapshot

Ultracold atoms in an optical lattice can create 1D anyons with arbitrary exchange statistics, allowing for exploration of their many-body behavior and potential exotic phenomena.

PopulationOlder adults (50-71 years)

Sample size24

MethodsObservational

OutcomesBody Mass Index projections

ResultsSocial networks mitigate obesity in older groups.

Realization of 1D Anyons with Arbitrary Statistical Phase

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