We study the spectrum of multiple non-Abelian anyons in a harmonic trap. The system is described by Chern-Simons theory, coupled to either bosonic or fermionic non-relativistic matter, and has an SO(2,1) conformal invariance. We describe a number of special properties of the spectrum, focussing on a class of protected states whose energies are dictated by their angular momentum. We show that the angular momentum of a bound state of non-Abelian anyons is determined by the quadratic Casimirs of their constituents.
Cited by 4
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J. High Energ. Phys. 2019, 48 (2019) [Crossref]
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Turner, The quantum origins of non-topological vortices
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Kravec et al., Nonrelativistic conformal field theories in the large charge sector
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- 1 Scuola Internazionale Superiore di Studi Avanzati / International School for Advanced Studies [SISSA]
- 2 University of Cambridge