Interferometric and Uhlmann phases of mixed polarization states

Alexei D. Kiselev and Vladimir V. Kesaev
Phys. Rev. A 98, 033816 – Published 13 September 2018

Abstract

In our investigation into the effects of the degree of polarization in modulation of partially polarized light, we assume general settings of the interferometry of partially polarized light waves and perform theoretical analysis of the geometric phases: the Uhlmann phase and the interferometric phase. We introduce the relative Uhlmann phase determined by the Uhlmann holonomies of interfering beams and show that the interferometric phase generalized to the case of nonunitary evolution can, similar to the Uhlmann phase, be cast into the holonomy defined form. By using the technique based on a two-arm Mach-Zehnder interferometer, two different dynamical regimes of light modulation are experimentally studied: (a) modulation of the input light by the rotating quarter-wave plate (QWP), and (b) modulation of the testing beam by a birefringent plate with electrically controlled anisotropy represented by the deformed-helix ferroelectric liquid-crystal (DHFLC) cell. In the setup with the rotating QWP, the interferometric phase is found to be equal to the relative Uhlmann phase. Experimental and theoretical results being in excellent agreement show both that this phase is an oscillating function of the QWP angle and increases with the degree of polarization. For modulation by the DHFLC cell, the data derived from our electro-optic measurements are fitted using the theory of the orientational Kerr effect in FLCs. This theory in combination with the results of fitting is used to evaluate electric field dependencies of the interferometric and the Uhlmann phases.

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  • Received 23 June 2018

DOI:https://doi.org/10.1103/PhysRevA.98.033816

©2018 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalGeneral Physics

Authors & Affiliations

Alexei D. Kiselev1,* and Vladimir V. Kesaev2,†

  • 1Saint Petersburg National Research University of Information Technologies, Mechanics and Optics (ITMO University), Kronverksky Prospekt 49, 197101 Saint Petersburg, Russia
  • 2Lebedev Physical Institute, Leninsky Prospekt 53, 119991 Moscow, Russia

  • *alexei.d.kiselev@gmail.com
  • vladimir.kesaev@gmail.com

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Issue

Vol. 98, Iss. 3 — September 2018

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