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Bloch Sphere Catastrophes
[article]
2014
arXiv
pre-print
Caustics are optical phenomena which occur when a family of rays creates an envelope of divergent intensity. Here we show that caustic surfaces also appear when a real or complex field is mapped to its order parameter manifold. We study these structures in the context of spin-1/2 fields, where the order parameter manifold is the Bloch sphere. These generic structures are a manifestation of catastrophe theory and are stable with respect to perturbations. The corresponding field configurations
arXiv:1406.0583v1
fatcat:ka3x24uakrf5ldygadqpqlmyhq