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Researchers Derive Link Between Gauge Fields & Spin Conversion
Previously limited to simpler systems, a mathematical technique for modelling wave behaviour now incorporates both particle spin *and* energy gain or loss. This extension of the transfer matrix method reveals how interactions can hybridise light emission with complete absorption, alongside a measurable flipping of particle spin. These findings offer new ways to control waves in open quantum systems via manipulated boundaries.
Dimensional spinful non-Hermitian tight-binding lattices with matrix-valued Abelian and non-Abelian gauge couplings are investigated. A minimal channel-resolved transfer matrix is derived, and its eigenvalues correspond to the generalised Bloch factors. The same transfer matrix determines periodic- and open-boundary spectra, a generalised Brillouin zone, skin localization, and finite-sample scattering conditions. In the Abelian limit, the model separates into fixed spin sectors,…
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