su(N) Mermin-Ho relation
Emi Yukawa
TL;DR
This paper generalizes the Mermin-Ho relation from su(2) to su(N), enabling analysis of complex superfluid textures with higher spin or angular momentum using mean-field generators.
Contribution
The authors extend the Mermin-Ho relation to su(N), providing a new theoretical framework for understanding vortices in higher-spin superfluids.
Findings
Derived a generalized su(N) Mermin-Ho relation
Expressed the relation using mean-field generators and structure factors
Applicable to arbitrarily polarized superfluid textures
Abstract
The Mermin-Ho relation expresses the vorticity of a coreless su(2) vortex in terms of the spin-1 or l vector which characterizes fully polarized superfluid textures. We generalize it to an su(N) vortex which is applicable to arbitrarily polarized superfluid textures with higher spin or angular momentum. The obtained relation is expressed in terms of the mean-field generators and their structure factors.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsQuantum, superfluid, helium dynamics · Geophysics and Gravity Measurements · Solar and Space Plasma Dynamics