Einstein-Bose condensation of Onsager vortices

Rahil N. Valani, Andrew J. Groszek, Tapio P. Simula

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We have studied statistical mechanics of a gas of vortices in two dimensions. We introduce a new observable - a condensate fraction of Onsager vortices - to quantify the emergence of the vortex condensate. The condensation of Onsager vortices is most transparently observed in a single vortex species system and occurs due to a competition between solid body rotation (see vortex lattice) and potential flow (see multiple quantum vortex state). We propose an experiment to observe the condensation transition of the vortices in such a single vortex species system.

Original languageEnglish
Article number053038
Number of pages16
JournalNew Journal of Physics
Issue number5
Publication statusPublished - 1 May 2018


  • absolute negative temperature
  • Bose-Einstein condensation
  • Onsager vortex
  • quantised vortices
  • quantum turbulence
  • superfluidity
  • vortex-particle duality

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