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Do vortices entangle?

C J Olson Reichhardt1, M B Hastings

  • 1Center for Nonlinear Studies and Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.

Physical Review Letters
|June 1, 2004
PubMed
Summary
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We propose an experiment to create and study topologically entangled superconducting vortices using current technology. Increasing vortex pitch can lead to instability and collapse, with predicted signatures for entanglement and cutting.

Area of Science:

  • Condensed Matter Physics
  • Quantum Materials
  • Superconductivity

Background:

  • Topological entanglement is a key concept in quantum physics.
  • Superconducting vortices are promising systems for exploring topological states.
  • Current experimental methods face challenges in directly constructing and probing these states.

Purpose of the Study:

  • To propose a feasible experiment for constructing and probing topologically entangled states of superconducting vortices.
  • To investigate the stability of these entangled states under varying conditions.
  • To identify experimental signatures for vortex entanglement and cutting.

Main Methods:

  • Utilizing an elastic string vortex model for theoretical calculations.
  • Analyzing the effect of pitch (winding angle/vertical distance) on vortex proximity and stability.

Related Experiment Videos

  • Predicting experimental signatures for observable phenomena.

    • Main Results:

    • Vortex proximity increases with increasing pitch.
    • Entangled states become unstable and collapse at critical pitch values.
    • Predicted experimental signatures for vortex entanglement and cutting are identified.

    Conclusions:

    • The proposed experiment is achievable with present-day technology.
    • Vortex entanglement stability is sensitive to geometric parameters like pitch.
    • The developed local probe offers versatility for exploring various physical quantities.