Topological spin transport of photons the optical Magnus Effect and Berry Phase.pdf

Topological spin transport of photons: the optical Magnus Effect and Berry Phase K.Yu.Bliokh Institute of Radio Astronomy, 4 Krasnoznamyonnaya st., Kharkov, 61002, Ukraine Yu.P.Bliokh Department of Physics, Technion, Haifa, 32000, Israel The paper develops a modified geometrical optics (GO) of smoothly inhomogeneous isotropic 4 0 medium, which takes into account two topological phenomena: Berry phase and the optical Magnus 0 effect. By using the analogy between a quasi-classical motion of a quantum particle with a spin and 2 GO of an electromagnetic wave in smoothly inhomogeneous media, we have introduced the stan- dard gauge potential associated with the degeneracy in the wave momentum space. This potential b corresponds to the Dirac-monopole-like field (Berry curvature), which causes the topological spin e (polarization) transport of photons. The deviations of waves of right-hand and left-hand helicity F occur in the opposite directions and orthogonally to the principal direction of motion. This produces 1 a spin current directed across the principal motion. The situation is similar to the anomalous Hall 2 effect for electrons. In addition, a simple scheme of the experiment allowing one to observe the topological spin splitting of photons has been suggested. ] s c PACS numbers: 41.20.Jb, 42.15.-i, 03.65.Vf, 05.60.-k i t p o The first consistent analysis of geometrical optics (GO)