Quantum pump driven fermionic Mach-Zehnder interferometer

Abstract

We have investigated the characteristics of the currents in a pump-driven fermionic Mach-Zehnder interferometer. The system is implemented in a conductor in the quantum Hall regime, with the two interferometer arms enclosing an Aharonov-Bohm flux $\Phi$. Two quantum point contacts with transparency modulated periodically in time drive the current and act as beam-splitters. The current has a flux dependent part $I^{(\Phi )}$ as well as a flux independent part $I^{(0)}$. Both current parts show oscillations as a function of frequency on the two scales determined by the lengths of the interferometer arms. In the non-adiabatic, high frequency regime $I^{(\Phi )}$ oscillates with a constant amplitude while the amplitude of the oscillations of $I^{(0)}$ increases linearly with frequency. The flux independent part $I^{(0)}$ is insensitive to temperature while the flux dependent part $I^{(\Phi )}$ is exponentially suppressed with increasing temperature. We also find that for low amplitude, adiabatic pumping rectification effects are absent for semitransparent beam-splitters. Inelastic dephasing is introduced by coupling one of the interferometer arms to a voltage probe. For a long charge relaxation time of the voltage probe, giving a constant probe potential, $I^{(\Phi )}$ and the part of $I^{(0)}$ flowing in the arm connected to the probe are suppressed with increased coupling to the probe. For a short relaxation time, with the potential of the probe adjusting instantaneously to give zero time dependent current at the probe, only $I^{(\Phi )}$ is suppressed by the coupling to the probe.

10 pages, 4 figures

References in corpus (52)

• Shot Noise in Mesoscopic Conductors
• Quantum Transport in Semiconductor Nanostructures
• Scattering approach to parametric pumping
• An Electronic Mach-Zehnder Interferometer
• An Adiabatic Quantum Electron Pump
• Floquet scattering theory of quantum pumps
• Two-particle Aharonov-Bohm effect and Entanglement in the electronic Hanbury Brown Twiss setup
• Mesoscopic mechanism of adiabatic charge transport
• Gauge invariant nonlinear electric transport in mesoscopic conductors
• Production and detection of entangled electron-hole pairs in a degenerate electron gas
• Dissipation and noise in adiabatic quantum pumps
• Scattering Theory of Photon-Assisted Electron Transport
• Geometry, Statistics and Asymptotics of Quantum Pumps
• Mesoscopic Fluctuations of Adiabatic Charge Pumping in Quantum Dots
• Charge Pumping and Photovoltaic effect in Open Quantum Dots
• Rectification of displacement currents in an adiabatic electron pump
• Decoherence and single electron charging in an electronic Mach-Zehnder interferometer
• Adiabatic quantum pump in the presence of external ac voltages
• Charge fluctuation induced dephasing in a gated mesoscopic interferometer
• Photocurrent, Rectification, and Magnetic Field Symmetry of Induced Current Through Quantum Dots
• Parametric pumping at finite frequency
• Effect of inelastic scattering on parametric pumping
• Effect of incoherent scattering on shot noise correlations in the quantum Hall regime
• Visibility of current and shot noise in electrical Mach-Zehnder and Hanbury Brown Twiss interferometers
• Voltage and dephasing probes: a full counting statistics discussion
• Influence of dephasing on shot noise in an electronic Mach-Zehnder interferometer
• Mesoscopic one-way channels for quantum state transfer via the Quantum Hall Effect
• Floquet scattering in parametric electron pumps
• Pumped current and voltage for an adiabatic quantum pump
• Transport and Dissipation in Quantum Pumps
• Effects of dephasing on shot-noise in an electronic Mach-Zehnder interferometer
• Optimal spin-entangled electron-hole pair pump
• Dynamic generation of orbital quasiparticle entanglement in mesoscopic conductors
• Decoherence and Full Counting Statistics in a Mach-Zehnder Interferometer
• Dephasing in a quantum pump
• Full counting statistics for voltage and dephasing probes
• Magnetic field symmetry of pump currents of adiabatically driven mesoscopic structures
• Positive Cross Correlations in a Normal-Conducting Fermionic Beam Splitter
• Scattering matrix ensemble for time-dependent transport through a chaotic quantum dot
• Pumping in a mesoscopic ring with Ahronov-Casher effect
• Fractal Weyl Law for Open Chaotic Maps
• Generating spin-entangled electron pairs in normal conductors using voltage pulses
• Fermionic Mach-Zehnder interferometer subject to a quantum bath
• Adiabatic pumping in a Superconductor-Normal-Superconductor weak link
• Statistical fluctuations of pumping and rectification currents in quantum dots
• Shot noise of photon-excited electron-hole pairs in open quantum dots
• Controlled Flow of Spin-Entangled Electrons via Adiabatic Quantum Pumping
• Quantum pumping: The charge transported due to a translation of a scatterer
• Multi-particle correlations of an oscillating scatterer
• Finger-gate array quantum pumps:pumping characteristics and mechanisms
• Measuring geometric phases of scattering states in nanoscale electronic devices
• Detecting a true quantum pump effect

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