Observing anyonization of bosons in a quantum gas.

Dhar, Sudipta; Wang, Botao; Horvath, Milena; Vashisht, Amit; Zeng, Yi; Zvonarev, Mikhail B; Goldman, Nathan; Guo, Yanliang et al. · Nature · 2025

basic_science · Level V

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Abstract

Anyons<sup>1,2</sup> are low-dimensional quasiparticles that obey fractional statistics, hence interpolating between bosons and fermions. In two dimensions, they exist as elementary excitations of fractional quantum Hall states<sup>3-5</sup> and are believed to enable topological quantum computing<sup>6,7</sup>. One-dimensional anyons have been theoretically proposed, but their experimental realization has proven to be difficult. Here we observed emergent anyonic correlations in a one-dimensional strongly interacting quantum gas, resulting from the phenomenon of spin-charge separation<sup>8-10</sup>. A mobile impurity provides the necessary spin degree of freedom to engineer anyonic correlations in the charge sector and simultaneously acts as a probe to reveal these correlations. Starting with bosons, we tune the statistical phase to transmute bosons through anyons to fermions and observe an asymmetric momentum distribution<sup>11-14</sup>, a hallmark of anyonic correlations. Going beyond equilibrium conditions, we observed dynamical fermionization of the anyons<sup>15</sup>. This study opens the door to the exploration of non-equilibrium anyonic phenomena in a highly controllable setting<sup>15-17</sup>.