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Decay of a Quantum Knot.

T Ollikainen1,2, A Blinova2,3, M Möttönen1,4

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Quantum knots in spin-1 Bose-Einstein condensates transition to stable polar-core spin vortices. This topological transition, observed in a magnetic field, reveals universal behavior similar to monopole defect evolution.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Atomic physics

Background:

  • Spin-1 Bose-Einstein condensates (BECs) exhibit complex magnetic phases.
  • Quantum knots are topological structures that can form in such systems.
  • Understanding the dynamics and stability of topological defects is crucial in BEC research.

Purpose of the Study:

  • To experimentally investigate the dynamics of quantum knots in spin-1 BECs under a uniform magnetic field.
  • To characterize the topological transition of quantum knots.
  • To explore the stability and nature of the resulting spin vortex structures.

Main Methods:

  • Creation of quantum knots in the polar magnetic phase of spin-1 BECs.
  • Application of a uniform magnetic field to induce phase transitions.
  • Observation of system evolution and defect dynamics over time.

Main Results:

  • Quantum knots induce a rapid transition from the polar to the ferromagnetic phase.
  • The knot structure disappears as magnetic order scrambles.
  • The knot decays into a stable polar-core spin vortex, a type of SO(3) vortex.
  • The observed spin vortex has a lifetime comparable to the BEC lifetime.

Conclusions:

  • Quantum knots in spin-1 BECs undergo a topological transition into stable polar-core spin vortices.
  • The observed decay mechanism and resulting vortex structure show similarities to theoretical predictions for monopole defects.
  • This suggests potential universality in topological transitions within quantum systems.