Shot Noise in Anyonic Mach-Zehnder Interferometer

Abstract

We show how shot noise in an electronic Mach-Zehnder interferometer in the fractional quantum Hall regime probes the charge and statistics of quantum Hall quasiparticles. The dependence of the noise on the magnetic flux through the interferometer allows for a simple way to distinguish Abelian from non-Abelian quasiparticle statistics. In the Abelian case, the Fano factor (in units of the electron charge) is always lower than unity. In the non-Abelian case, the maximal Fano factor as a function of the magnetic flux exceeds one.

references added

References in corpus (25)

• Fault-tolerant quantum computation by anyons
• Anyons in an exactly solved model and beyond
• Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
• An Electronic Mach-Zehnder Interferometer
• Topologically-Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State
• $2n$ Quasihole States Realize $2^{n-1}$-Dimensional Spinor Braiding Statistics in Paired Quantum Hall States
• Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
• Proposed experiments to probe the non-abelian ν=5/2 quantum Hall state
• A Chern-Simons Effective Field Theory for the Pfaffian Quantum Hall State
• Partition noise and statistics in the fractional quantum Hall effect
• Edge states and tunneling of non-Abelian quasiparticles in the nu=5/2 quantum Hall state and p+ip superconductors
• Influence of Interactions on Flux and Back-gate Period of Quantum Hall Interferometers
• Electronic Mach-Zehnder interferometer as a tool to probe fractional statistics
• Signatures of fractional statistics in noise experiments in quantum Hall fluids
• Detecting non-Abelian Statistics with Electronic Mach-Zehnder Interferometer
• Visibility of current and shot noise in electrical Mach-Zehnder and Hanbury Brown Twiss interferometers
• Telegraph Noise and Fractional Statistics in the Quantum Hall Effect
• Revisiting the Hanbury Brown-Twiss set-up for fractional statistics
• Influence of dephasing on shot noise in an electronic Mach-Zehnder interferometer
• Decoherence and Full Counting Statistics in a Mach-Zehnder Interferometer
• Fermionic Mach-Zehnder interferometer subject to a quantum bath
• Switching noise as a probe of statistics in the fractional quantum Hall effect
• Transport in the Laughlin quasiparticle interferometer: Evidence for topological protection in an anyonic qubit
• Conductance and Shot Noise for Particles with Exclusion Statistics
• "Wormhole" geometry for entrapping topologically-protected qubits in non-Abelian quantum Hall states and probing them with voltage and noise measurements

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• Non-Abelian Anyons and Topological Quantum Computation
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• Particle-hole symmetry without particle-hole symmetry in the quantum Hall effect at ν = 5/2
• Fractional charge and fractional statistics in the quantum Hall effects
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• Recent Experimental Progress of Fractional Quantum Hall Effect: 5/2 Filling State and Graphene
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• Coulomb blockade as a probe for non-Abelian statistics in Read-Rezayi states
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• Suppression of interference in quantum Hall Mach-Zehnder geometry by upstream neutral modes
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• Negative Excess Shot Noise by Anyon Braiding
• Charge-statistics separation and probing non-Abelian states
• The sixteenfold way and the quantum Hall effect at half-integer filling factors
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• Chirality and Current-Current Correlation in Fractional Quantum Hall Systems
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• Parafermions in Moiré Minibands
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• Tunneling between helical Majorana modes and helical Luttinger liquids
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• Non-Fermi Liquid Quantum Impurity Physics from non-Abelian Quantum Hall States
• Suppression of Visibility in a Two-Electron Mach-Zehnder Interferometer
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• Anyonic analogue of optical Mach-Zehnder interferometer
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• Cotunneling in the ν= 5/2 fractional quantum Hall regime
• Superconductivity of neutral modes in quantum Hall edges