Dephasing in single-electron generation due to environmental noise probed by Hong Ou Mandel interferometry

Abstract

We consider the effect of dephasing on a quantum dot which injects single electrons on a chiral edge channel of the quantum Hall effect. Dephasing is described by the coupling of the dot to a bosonic bath which represents the electromagnetic environment. Using the input-output formalism of quantum optics, we derive the density matrix of the edge degrees of freedom. Results are illustrated by computing the zero frequency current-current correlations when two such single electron emitters achieve a collision at the location of a quantum point contact, in the same spirit as the Hong Ou Mandel experiment of quantum optics. Such correlations are directly linked to the quantum mechanical purity. We show that as observed in a recent experiment, the effect of dephasing leads to a non-vanishing of the Hong Ou Mandel dip when the time delay between the two electron wave packets is zero. Generalizations to time filtered wave packets as well as to asymmetric, detuned injection between opposite edges are obtained.

8 pages, 4 figures

References in corpus (18)

• An On-Demand Coherent Single Electron Source
• Coherence and Indistinguishability of Single Electrons Emitted by Independent Sources
• Direct measurement of the coherence length of edge states in the Integer Quantum Hall Regime
• Production and detection of entangled electron-hole pairs in a degenerate electron gas
• Separation of neutral and charge modes in one dimensional chiral edge channels
• Quantized dynamics of a coherent capacitor
• Shot noise of a mesoscopic two-particle collider
• Tuning Energy Relaxation along Quantum Hall Channels
• Coherent Particle Transfer in an On-Demand Single-Electron Source
• Wigner function approach to single electron coherence in quantum Hall edge channels
• Noise dephasing in the edge states of the Integer Quantum Hall regime
• Generation of energy selective excitations in quantum Hall edge states
• Electron and hole Hong-Ou-Mandel interferometry
• Quantum coherence engineering in the integer quantum Hall regime
• Electron counting with a two-particle emitter
• Single-electron source: Adiabatic versus non-adiabatic emission
• Quantum detection of electronic flying qubits
• Spectroscopy of electron flows with single- and two-particle emitters

Cited by in corpus (10)

• Hong-Ou-Mandel experiment for temporal investigation of single electron fractionalization
• Decoherence and relaxation of a single electron in a one dimensional conductor
• First-order correlation function of the stream of single-electron wave-packets
• Time-resolved energy dynamics after single electron injection into an interacting helical liquid
• Single-electron coherence: finite temperature versus pure dephasing
• Interference and multi-particle effects in a Mach-Zehnder interferometer with single-particle sources
• Minimal-excitation single-particle emitters: A comparison of charge and energy transport properties
• Charge and energy fractionalization mechanism in one-dimensional channels
• Composite two-particle sources
• Characterizing and Mitigating Timing Noise-Induced Decoherence in Single Electron Sources