Photonic quantum chromodynamics

Twisted photons with finite orbital angular momentum have a distinct mode profile topological charge at the center of while propagating in certain direction. Each different charges m is orthogonal, sense that overlap integral vanishes among modes values . Here, we theoretically consider superposition state three left and right vortices Gaussian without vortex. These states are considered to be assigned quantum states; thus, employed su(3) Lie algebra associated SU(3) group classify photonic states. We calculated expectation eight generators id="m2"><mml:mi algebra, which should observable, since Hermite matrices. proposed call these parameters Gell-Mann parameters, named after theoretical physicist Murray Gell-Mann, who established chromodynamics (QCD) for quarks. The represented on eight-dimensional hypersphere its radius fixed due conservation law Casimir operator. Thus, discussed possibility exploring QCD experiments classified embed SO(6) SO(5).