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Related Concept Videos

Quantum Numbers02:43

Quantum Numbers

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It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
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The Hall Effect01:30

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Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
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The mode is one of the commonly used measures of a central tendency. It is defined as the most frequent value in a data set.
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A close look at earthquakes provides evidence for the conditions appropriate for resonance, standing waves, and constructive and destructive interference. A building may vibrate for several seconds with a driving frequency matching the building's natural frequency of vibration; this produces a resonance that results in one building collapsing while the neighboring buildings do not. Often, buildings of a certain height are devastated, while other taller buildings remain intact. This...
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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
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Robust integer and fractional helical modes in the quantum Hall effect.

Yuval Ronen1, Yonatan Cohen1, Daniel Banitt1

  • 1Braun Center for Submicron Research, Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel.

Nature Physics
|May 9, 2018
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Summary

Researchers developed a new platform for creating protected one-dimensional helical edge modes in the quantum Hall regime. This breakthrough paves the way for observing fractional helical modes and advancing topological quantum computing.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Information Science

Background:

  • One-dimensional helical modes with locked spin and momentum are crucial for topological superconductivity and Majorana zero modes.
  • Fractional helical modes, yet to be observed, are key to realizing generalized parafermions for topological quantum computing.

Purpose of the Study:

  • To present a novel platform for generating protected one-dimensional helical edge modes.
  • To explore the potential for observing fractional helical modes and their applications.

Main Methods:

  • Utilizing a double-quantum-well structure in a GaAs-based system.
  • Employing electrostatic gating to tune two electronic sub-bands into the quantum Hall regime.
  • Forming counter-propagating integer and fractional edge modes with opposite spins.

Main Results:

  • Demonstrated the formation of protected one-dimensional helical edge modes.
  • Showcased spin-protection enabling ballistic propagation over large distances.
  • Established a platform for inducing compounded fractional edge modes and constructing interferometers.

Conclusions:

  • The developed platform successfully generates protected helical edge modes.
  • This system offers a promising avenue for the experimental realization of fractional helical modes and parafermions.
  • The platform serves as a versatile tool for advancing topological quantum computing and quantum information science.