Vortex spin in a superfluid

• URL: http://arxiv.org/abs/2305.16016v1
• Date: Thu, 25 May 2023 12:56:13 GMT
• Title: Vortex spin in a superfluid
• Authors: Emil G\'enetay Johansen and Tapio Simula
• Abstract summary: General relativity predicts that curvature of spacetime induces spin rotations on a parallel transported particle. We consider a quantised vortex embedded in a two-dimensional superfluid Bose--Einstein condensate. We show that such a vortex behaves dynamically like a charged particle with a spin in a gravitational field.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: General relativity predicts that the curvature of spacetime induces spin rotations on a parallel transported particle. We deploy Unruh's analogue gravity picture and consider a quantised vortex embedded in a two-dimensional superfluid Bose--Einstein condensate. We show that such a vortex behaves dynamically like a charged particle with a spin in a gravitational field. The existence of a vortex spin in a superfluid complements Onsager's prediction of the quantisation of circulation, and is suggestive of potential quantum technology applications of rotating superfluids.

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