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Superfluidity and Chaos in low dimensional circuits.

Geva Arwas1, Amichay Vardi2, Doron Cohen1

  • 1Department of Physics, Ben-Gurion University of the Negev, Beer-Sheva, Israel.

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|August 29, 2015
PubMed
Summary

Superfluidity in low-dimensional circuits defies standard criteria. Chaos reveals novel vortex states, challenging conventional stability analysis for quantized circulating currents.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Chaos Theory

Background:

  • Superfluidity is characterized by quantized vortex states with metastable circulating currents.
  • The Landau criterion explains superfluidity metastability based on elementary excitation velocities.
  • Conventional models assume scattering randomizes flow, leading to vanishing currents.

Purpose of the Study:

  • To investigate the failure of standard Landau and Bogoliubov superfluidity criteria in low-dimensional circuits.
  • To determine the correct superfluidity regime-diagram by incorporating chaos.
  • To identify novel superfluidity phenomena arising from chaotic dynamics.

Main Methods:

  • Analysis of particle flow in a ring under scattering conditions.
  • Application of kinematic considerations and stability analysis.
  • Incorporation of chaos theory into the conventional stability framework.

Main Results:

  • Standard Landau and Bogoliubov criteria are shown to fail in low-dimensional circuits.
  • Chaos is identified as a crucial factor in determining superfluidity regimes.
  • Novel superfluidity types, including irregular, chaotic, and breathing vortex states, are discovered.

Conclusions:

  • Superfluidity in low-dimensional systems requires accounting for chaos.
  • The established criteria for superfluidity are insufficient in these systems.
  • New vortex states emerge due to the interplay of quantum mechanics and chaos.