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Non-uniform magnetic fields for single-electron control.

Mauro Ballicchia1, Clemens Etl1, Mihail Nedjalkov1

  • 1Institute for Microelectronics, TU Wien, Gusshausstrasse 27-29, 1040 Wien, Austria. mauro.ballicchia@tuwien.ac.at.

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|May 20, 2024
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Summary
This summary is machine-generated.

This study introduces a new theoretical framework for controlling single-electron states using non-uniform electric and magnetic fields. The findings reveal novel electron transport phenomena, including snake trajectories and wavepacket splitting for edge states.

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Area of Science:

  • Quantum optics
  • Electron quantum transport

Background:

  • Controlling single-electron states is crucial for quantum information processing, sensing, and metrology.
  • Conventional theories rely on gauge-dependent potentials, hindering direct formulation with electromagnetic fields.
  • Prior work developed gauge-invariant Wigner equations, but complexity necessitated simpler forms for linear fields.

Purpose of the Study:

  • To generalize a theoretical framework for single-electron control.
  • To incorporate general non-uniform electric fields and linear non-uniform magnetic fields.
  • To investigate the control capabilities of such fields on electron trajectories, interference, and dispersion.

Main Methods:

  • Generalization of a gauge-invariant Wigner equation formulation.
  • Inclusion of non-uniform electric fields and linear non-uniform magnetic fields.
  • Application of the generalized equation to analyze single-electron dynamics.

Main Results:

  • Demonstration of unique single-electron control mechanisms via non-uniform fields.
  • Exploration of snake trajectories in electronic waveguides.
  • Identification of possibilities for wavepacket splitting to realize edge states.

Conclusions:

  • The generalized formulation provides a powerful tool for studying single-electron control.
  • Non-uniform fields offer new avenues for manipulating electron states.
  • The findings pave the way for advanced quantum devices and applications.