Anyon statistics through conductance measurements of time-domain interferometry

Abstract

We propose a method to extract the mutual exchange statistics of the anyonic excitations of a general Abelian fractional quantum Hall state, by comparing the tunneling characteristics of a quantum point contact in two different experimental conditions. In the first, the tunneling current between two edges at different chemical potentials is measured. In the second, one of these edges is strongly diluted by an earlier point contact. We describe the case of the dilute beam in terms of a time-domain interferometer between the anyons flowing along the edge and quasiparticle-quasihole excitations created at the tunneling quantum point contact. In both cases, temperature is kept large, such that the measured current is given to linear response. Remarkably, our proposal does not require the measurement of current correlations, and allows us to carefully separate effects of the fractional charge and statistics from effects of intra- and inter-edge interactions.

arXiv comment5+5 pages, 2 figures

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• Finite Soliton Width Matters: Investigating Non-equilibrium Exchange Phases of Anyons
• Dynamics of parafermionic states in transport measurements
• Anyon braiding on the single edge of a fractional quantum Hall state
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• Tunneling current and current correlations for anyonic quasiparticles of ν = 1/2 chiral Luttinger liquid in multi-edge geometries
• Exchange-phase erasure in anyonic Hong-Ou-Mandel interferometry
• Non-Abelian anyon statistics through AC conductance of a Majorana interferometer
• Fractional-statistics-induced entanglement from Andreev-like tunneling
• Probing anyon statistics on a single-edge loop in the fractional quantum Hall regime
• Quantum statistics and self-interference in extended colliders