Partitioning of Diluted Anyons Reveals their Braiding Statistics [post]

Moty Heiblum, Heung-Sun Sim, Yuval Oreg, Changki Hong, June-Young Lee, Tomer Alkalay, Noam Schiller, Vladimir Umansky
2022 unpublished
Correlations of partitioned particles carry essential information about their quantumness [1]. Partitioning full beams of charged particles leads to current fluctuations, with their autocorrelation (AC, shot noise) revealing the particles' charge [2]. This is not the case when the partitioned particle beams are diluted. Bosons or fermions will exhibit particles antibunching (due to their discreteness) [3, 4]. However, when partitioning anyons, such as the quasiparticles in fractional quantum
more » ... l states (FQH), the AC unveils an essential aspect of their exchange statistics: their 'braiding phase' [5]. Here, we describe detailed measurements of partitioning diluted anyonic edge modes of the FQH 1/3-state. The measured excess AC agrees with our theory of braiding in the 'time-domain' - with a braiding angle of 2θ=2π/3 - without any fitting parameters. Our work offers a relatively straightforward and simple method to observe the braiding statistics of other exotic states, such as non-abelian states, without resorting to complex interference experiments [6].
doi:10.21203/ fatcat:7hjduhatwfaklpeevkhkbb2e4e