Topological phase for spin-orbit transformations on a laser beam

Abstract

We investigate the topological phase associated with the double connectedness of the SO(3) representation in terms of maximally entangled states. An experimental demonstration is provided in the context of polarization and spatial mode transformations of a laser beam carrying orbital angular momentum. The topological phase is evidenced through interferometric measurements and a quantitative relationship between the concurrence and the fringes visibility is derived. Both the quantum and the classical regimes were investigated.

4 pages, 4 figures

References in corpus (5)

• Geometric Manipulation of Trapped Ions for Quantum Computation
• Geometry of entangled states, Bloch spheres and Hopf fibrations
• Topological phase for entangled two-qubit states
• Phase Dynamics of Two Entangled Qubits
• Representation of SO(3) Group by a Maximally Entangled State

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