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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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Majorana bound state in rotating superfluid 3He-A between parallel plates.

Y Tsutsumi1, T Kawakami, T Mizushima

  • 1Department of Physics, Okayama University, Okayama 700-8530, Japan.

Physical Review Letters
|October 15, 2008
PubMed
Summary

Researchers propose a feasible method to test Majorana zero-energy states in superfluid helium-3. This theoretical example, suitable for rotating cryostat experiments, aids in locating these elusive quantum states.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Fluids

Background:

  • Superfluid helium-3 (3He-A) is a unique quantum fluid exhibiting exotic phases.
  • Majorana zero-energy states are exotic quasiparticles with potential applications in topological quantum computing.
  • Detecting these states experimentally remains a significant challenge.

Purpose of the Study:

  • To propose a concrete and experimentally feasible setup for detecting Majorana zero-energy states.
  • To identify specific parameter regions where these states can be found in realistic conditions.

Main Methods:

  • Theoretical modeling using the Ginzburg-Landau functional.
  • Microscopic calculations employing the Bogoliubov-de Gennes equation.
  • Analysis tailored for parallel plate geometry in superfluid 3He-A.

Main Results:

  • A specific parallel plate geometry for superfluid 3He-A is identified as a viable system.
  • The study outlines how to precisely locate the parameter regions for Majorana states.
  • The proposed method is compatible with ongoing rotating cryostat experiments.

Conclusions:

  • The proposed theoretical example offers a practical pathway for experimental verification of Majorana zero-energy states.
  • This research bridges theoretical predictions with experimental capabilities in superfluid physics.
  • The findings contribute to the fundamental understanding and potential application of Majorana states.