SU(N) symmetry of coherent photons controlled by rotated waveplates.

ABSTRACT: The coherent state from a laser source has spin and orbital degrees of freedom, which allow an arbitrary superposition state among orthogonal states with varying amplitudes and phases. Here, we theoretically show coherent photons with SU(N) symmetry are characterised by expectation values of angular momentum shown on a hypersphere in SO( N2-1 ) space. To demonstrate expected unitary transformations in experiments, we have constructed generators of transformations in the Lie group simply by combining widely available optical components such as waveplates and vortex lenses. We show a superposition state between twisted and Gaussian states is characterised by the dynamics of the topological charge upon the transformation in SU(3) states. We also realised photonic singlet and triplet st

SUBMITTER: Saito S 

PROVIDER: S-EPMC11305251 | biostudies-literature | 2024 Jul

REPOSITORIES: biostudies-literature