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Related Experiment Video

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Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source

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Published on: April 4, 2017

Resonant dephasing in the electronic Mach-Zehnder interferometer.

Eugene V Sukhorukov¹, Vadim V Cheianov

¹Départment de Physique Théorique, Université de Genève, CH-1211 Genève 4, Switzerland.

Physical Review Letters

|November 13, 2007

Summary

Unexpected Aharonov-Bohm oscillations in quantum Hall systems are explained by strong interactions between edge states. This interaction, causing resonant plasmon scattering, offers a new method for edge state tomography.

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Area of Science:

Condensed matter physics
Quantum mechanics
Mesoscopic physics

Background:

Aharonov-Bohm oscillations are fundamental quantum interference phenomena.
Experimental realization in quantum Hall systems revealed unexpected behaviors.
Understanding these behaviors is crucial for quantum device applications.

Purpose of the Study:

To explain the unexpected behavior of Aharonov-Bohm oscillations in a quantum Hall electronic Mach-Zehnder interferometer.
To identify the underlying physical mechanism responsible for the observed lobe structure and phase rigidity.
To propose a novel method for characterizing quantum edge states.

Main Methods:

Theoretical modeling of electron-electron interactions in quantum Hall edge states.
Analysis of resonant scattering of plasmons between adjacent counterpropagating edge states.
Formulation of visibility and phase shift in terms of plasmon transmission coefficients.

Main Results:

A strong long-range interaction between adjacent edge states was identified as the cause of unexpected oscillation behavior.
The lobe structure in visibility and phase rigidity were directly linked to resonant plasmon scattering.
A theoretical framework was established to quantitatively describe the observed phenomena.

Conclusions:

The unexpected Aharonov-Bohm oscillation patterns are attributed to strong inter-edge state interactions and plasmon scattering.
The derived expressions for visibility and phase shift provide a direct link to plasmon transmission.
This work introduces a powerful technique for the tomography of quantum edge states, enabling detailed characterization.