Optimal confinement potential in quantum Hall droplets
E. T\"ol\"o, A. Harju
TL;DR
This paper demonstrates how tuning the confinement potential in quantum Hall droplets enhances their overlap with specific trial wave functions, potentially improving quantum dot and quantum point contact applications.
Contribution
It introduces a method to optimize confinement potentials in quantum dots to better match quantum Hall states, advancing control over electron interactions.
Findings
Enhanced overlap with quantum Hall wave functions through potential tuning
Potentially improved quantum point contact performance
New approach for manipulating electron interactions in quantum dots
Abstract
We find that the confinement potential of a few electron quantum dot can be tuned to significantly increase the overlap with certain quantum Hall trial wave functions. Besides manipulating inter-electron interaction, this approach may prove useful in quantum point contact experiments, which involve narrow constrictions.
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