Decoherence and Full Counting Statistics in a Mach-Zehnder Interferometer

Abstract

We investigate the Full Counting Statistics of an electrical Mach-Zehnder interferometer penetrated by an Aharonov-Bohm flux, and in the presence of a classical fluctuating potential. Of interest is the suppression of the Aharonov-Bohm oscillations in the distribution function of the transmitted charge. For a Gaussian fluctuating field we calculate the first three cumulants. The fluctuating potential causes a modulation of the conductance leading in the third cumulant to a term cubic in voltage and to a contribution correlating modulation of current and noise. In the high voltage regime we present an approximation of the generating function.

10 pages, 6 figures

References in corpus (9)

• Macroscopic current fluctuations in stochastic lattice gases
• Production and detection of entangled electron-hole pairs in a degenerate electron gas
• Influence of dephasing on shot noise in an electronic Mach-Zehnder interferometer
• Transport Statistics of Bistable Systems
• Effects of dephasing on shot-noise in an electronic Mach-Zehnder interferometer
• Feedback of the electromagnetic environment on current and voltage fluctuations out of equilibrium
• Measuring non-Gaussian fluctuations through incoherent Cooper pair current
• Noise and Full Counting Statistics of Incoherent Multiple Andreev Reflection
• Quantum-to-Classical Crossover in Full Counting Statistics

Cited by in corpus (42)

• Universal oscillations in counting statistics
• Counting statistics of transport through Coulomb blockade nanostructures: High-order cumulants and non-Markovian effects
• Electronic Mach-Zehnder interferometer as a tool to probe fractional statistics
• Counting statistics and decoherence in coupled quantum dots
• Electron quantum optics in quantum Hall edge channels
• Controlled Dephasing of Electrons by Non-Gaussian Shot Noise
• Factorial cumulants reveal interactions in counting statistics
• Decoherence and interactions in an electronic Mach-Zehnder interferometer
• Shot Noise in Anyonic Mach-Zehnder Interferometer
• Visibility of current and shot noise in electrical Mach-Zehnder and Hanbury Brown Twiss interferometers
• Transport Statistics of Interacting Double Dot Systems: Coherent and Non-Markovian Effects
• Effect of electron-phonon scattering on shot noise in nanoscale junctions
• Voltage and dephasing probes: a full counting statistics discussion
• Coherence oscillations in dephasing by non-Gaussian shot noise
• Anyons in Quantum Hall Interferometry
• Full counting statistics for voltage and dephasing probes
• Multiparticle interference in electronic Mach-Zehnder interferometers
• The Leggett-Garg inequality in electron interferometers
• Mach-Zehnder interferometry with periodic voltage pulses
• Self-consistent calculation of the electron distribution near a Quantum-Point Contact in the integer Quantum Hall Effect
• Fermionic Mach-Zehnder interferometer subject to a quantum bath
• Measuring Which-Path Information with Coupled Electronic Mach-Zehnder Interferometers
• Spectral distribution and wavefunction of electrons emitted from a single particle source in the quantum Hall regime
• Sagnac interference in Carbon nanotube loops
• Theory of non-equilibrium electronic Mach-Zehnder interferometer
• Dephasing by electron-electron interactions in a ballistic Mach-Zehnder interferometer
• Equations of motion approach to decoherence and current noise in ballistic interferometers coupled to a quantum bath
• Universal dephasing in a chiral 1D interacting fermion system
• Dynamical Scheme for Interferometric Measurements of Full-Counting Statistics
• Coherent feedback control in quantum transport
• Analytically solvable model of an electronic Mach-Zehnder interferometer
• Probing the $\nu =\frac{5}{2}$ quantum Hall state with electronic Mach-Zehnder interferometry
• Current-voltage correlations in interferometers
• Solution of a model for the two-channel electronic Mach-Zehnder interferometer
• Quantum pump driven fermionic Mach-Zehnder interferometer
• Scanning probe-induced thermoelectrics in a quantum point contact
• Sagnac interference in Carbon nanotubes
• Current Correlations in a Quantum Dot Ring: A Role of Quantum Interference
• Three Mach Zehnder Interferometers Setup for Production and Observation of GHZ-entanglement of Electrons
• Hunting for the Quantum Cheshire Cat
• Exotic electron states and tunable magneto-transport in a fractal Aharonov-Bohm interferometer
• Decoherence of fermions subject to a quantum bath