The Circulation Mill: A Quantized Source of Axial Spin-Current Circulation

A machine design study (SIMULATED, NOT MEASURED). The Circulation Mill is a bench machine that manufactures circulation of an axial spin current in counted units and delivers it to a separate take-off loop at a dialled rate: a ring of spin-polarised condensate whose phase winding is advanced by exactly one quantum per adiabatic drive cycle. At the rated configuration (20 um ring, 1e5 polarised atoms, 10 Hz drive) the computed delivery is 10 quanta of circulation per second, each integer-exact with fractional error at most 7.3e-6, and a take-off ring at the rated winding carries 7.26e5 spin quanta per second across any cut. The design supplies, at a bench address, the circulation datum the programme's Theta flux law is missing; the conversion of a supplied circulation into a Theta phase is expressly not claimed, as the constitutive constant is unpriced.