Compare Papers

Paper 1

Topological Order with a Twist: Ising Anyons from an Abelian Model

H. Bombin

Year

2010

Journal

arXiv preprint

DOI

arXiv:1004.1838

arXiv

1004.1838

Anyon models can be symmetric under some permutations of their topological charges. One can then conceive topological defects that, under monodromy, transform anyons according to a symmetry. We study the realization of such defects in the toric code model, showing that a process where defects are braided and fused has the same outcome as if they were Ising anyons. These ideas can also be applied in the context of topological codes.

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Paper 2

Topological shaping of vortex neutron beams using forked phase gratings

S. McKay, S. R. Parnell, R. M. Dalgliesh, N. V. Lavrik, I. I. Kravchenko, Q. Le Thien, D. V. Baxter, G. Ortiz, R. Pynn

Year

2025

Journal

arXiv preprint

DOI

arXiv:2510.24099

arXiv

2510.24099

Beams of light or matter that carry well-defined states of orbital angular momentum (OAM) are promising probes of topological and textured condensed matter systems such as magnetic skyrmions. Using spin-echo small-angle neutron scattering (SESANS), we demonstrate the production of vortex neutron beams from forked phase gratings of various topological charges. In contrast to some previous techniques used to verify OAM production, SESANS is a more precise measurement of the neutron's OAM as it is a phase-sensitive, interferometric technique that directly measures the phase between the scattered neutron spin states.

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