Realization of one-dimensional anyons with arbitrary statistical phase

Low-dimensional quantum systems can host anyons, particles with exchange statistics that are neither bosonic nor fermionic. However, the physics of anyons in one dimension remains largely unexplored. In this work, we realize Abelian anyons in one dimension with arbitrary exchange statistics using ul...

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Published in:Science (American Association for the Advancement of Science) 2024-11, Vol.386 (6725), p.1055-1060
Main Authors: Kwan, Joyce, Segura, Perrin, Li, Yanfei, Kim, Sooshin, Gorshkov, Alexey V, Eckardt, André, Bakkali-Hassani, Brice, Greiner, Markus
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Language:English
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Cold atoms
Optical lattices
Quantum mechanics
Quantum statistics
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container_title Science (American Association for the Advancement of Science)
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creator Kwan, Joyce
Segura, Perrin
Li, Yanfei
Kim, Sooshin
Gorshkov, Alexey V
Eckardt, André
Bakkali-Hassani, Brice
Greiner, Markus
description Low-dimensional quantum systems can host anyons, particles with exchange statistics that are neither bosonic nor fermionic. However, the physics of anyons in one dimension remains largely unexplored. In this work, we realize Abelian anyons in one dimension with arbitrary exchange statistics using ultracold atoms in an optical lattice, where we engineer the statistical phase through 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 one-dimensional anyons.
doi_str_mv 10.1126/science.adi3252
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subjects Cold atoms
Optical lattices
Quantum mechanics
Quantum statistics
title Realization of one-dimensional anyons with arbitrary statistical phase
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