Current Correlations from a Mesoscopic Anyon Collider

Abstract

Fermions and bosons are fundamental realizations of exchange statistics, which governs the probability for two particles being close to each other spatially. Anyons in the fractional quantum Hall effect are an example for exchange statistics intermediate between bosons and fermions. We analyze a mesoscopic setup in which two dilute beams of anyons collide with each other, and relate the correlations of current fluctuations to the probability of particles excluding each other spatially. While current correlations for fermions vanish, negative correlations for anyons are a clear signature of a reduced spatial exclusion as compared to fermions.

7 pages, 3 figures

References in corpus (5)

• Electron quantum optics in ballistic chiral conductors
• Hanbury-Brown and Twiss interference of anyons
• Non-equilibrium 1D many-body problems and asymptotic properties of Toeplitz determinants
• Spectroscopy of electron flows with single- and two-particle emitters
• Chirality, causality, and fluctuation-dissipation theorems in non-equilibrium steady states

Cited by in corpus (61)

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• Second quantization of Leinaas-Myrheim anyons in one dimension and their relation to the Lieb-Liniger model
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• Spin-statistics relation and the Abelian braiding phase for anyons in fractional quantum Hall effect
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
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• Anyonic Mach-Zehnder interferometer on a single edge of a 2D electron gas
• Finite Soliton Width Matters: Investigating Non-equilibrium Exchange Phases of Anyons
• Symmetry-related transport on a fractional quantum Hall edge
• Current cross-correlations in a quantum Hall collider at filling factor two
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• Emergent entropy of exotic oscillators and squeezing in three-wave mixing process
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• AC driven strongly correlated quantum circuits and Hall edge states: Unified photo-assisted noise and revisited minimal excitations
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• Multi-particle interferometry in the time-energy domain with localized topological quasiparticles
• Ternary Logic Design in Topological Quantum Computing
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• Half-integer thermal conductance in the absence of Majorana mode
• Aharonov-Bohm Interference in Even-Denominator Fractional Quantum Hall States
• Anyon braiding on the single edge of a fractional quantum Hall state
• Exchange-phase erasure in anyonic Hong-Ou-Mandel interferometry
• Andreev-like Reflection in the Pfaffian Fractional Quantum Hall Effect
• Field Theoretic Aspects of Condensed Matter Physics: An Overview
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• Probing anyon statistics on a single-edge loop in the fractional quantum Hall regime
• Automated in situ optimization and disorder mitigation in a quantum device
• Non-Abelian anyon statistics through AC conductance of a Majorana interferometer
• Signature of anyonic statistics in the integer quantum Hall regime
• Fractional-statistics-induced entanglement from Andreev-like tunneling
• Manifestation of edge-bulk incompatibility in fractional quantum Hall platform
• Natural orbitals and their occupation numbers for free anyons in the magnetic gauge
• Photo-assisted shot noise probes multiple charge carriers in quantum Hall edges
• Superconductivity of neutral modes in quantum Hall edges
• Quantum statistics and self-interference in extended colliders
• Extracting the scaling dimension of quantum Hall quasiparticles from current correlations
• Anyonic analogue of optical Mach-Zehnder interferometer