Analysis of the Pancharatnam-Berry phase of vector vortex states using the Hamiltonian based on the Maxwell-Schrödinger equation

Masato Suzuki, Keisaku Yamane, Kazuhiko Oka, Yasunori Toda, and Ryuji Morita
Phys. Rev. A 94, 043851 – Published 26 October 2016

Abstract

We derived the Berry connection of vector vortex states (VVSs) from the “true” Hamiltonian obtained through the Maxwell-Schrödinger equation for an inhomogeneous anisotropic (IA) medium, and we experimentally demonstrated measurement of the corresponding Pancharatnam-Berry (PB) geometrical phase of VVSs. The PB phase (PBP) of VVSs can be divided into two phases: homogeneous and inhomogeneous PBPs. Homogeneous and inhomogeneous PBPs are related to the conventional PBP and the spatially dependent geometric phase given by an IA medium such as a polarization converter, respectively. We theoretically detected that inhomogeneous PBP accumulation originates from the gauge dependence of the index of the hybrid-order Poincaré sphere, which provides an alternate method for understanding optical spin-orbital angular momentum conversion. The homogeneous PBP, which is explicitly observed, has implications for quantum-state manipulation and information processing.

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  • Received 9 February 2016

DOI:https://doi.org/10.1103/PhysRevA.94.043851

©2016 American Physical Society

Physics Subject Headings (PhySH)

General Physics

Authors & Affiliations

Masato Suzuki, Keisaku Yamane, Kazuhiko Oka, Yasunori Toda, and Ryuji Morita*

  • Department of Applied Physics, Hokkaido University, Kita-13, Nishi-8, Kita-ku, Sapporo 060-8628, Japan

  • *morita@eng.hokudai.ac.jp

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Issue

Vol. 94, Iss. 4 — October 2016

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