Interferometric and Uhlmann phases of mixed polarization states
arXiv:1806.08980 · doi:10.1103/PhysRevA.98.033816
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 lightwaves and perform theoretical analysis of the Uhlmann and the interferometric phases. 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 both show 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.
arXiv commentrevtex 4.1, 19 pages, 12 figures (published version)
References in corpus (28)
- Geometric phases for mixed states in interferometry
- Kinematic approach to the mixed state geometric phase in nonunitary evolution
- Pancharatnam-Berry phase optical elements for wavefront shaping in the visible domain: switchable helical modes generation
- Uhlmann Phase as a Topological Measure for One-Dimensional Fermion Systems
- An experimental observation of geometric phases for mixed states using NMR interferometry
- Topology of density matrices
- Two-Dimensional Density-Matrix Topological Fermionic Phases: Topological Uhlmann Numbers
- Topological indices for open and thermal systems via Uhlmann's phase
- Observation of topological Uhlmann phases with superconducting qubits
- Measurement of geometric phase for mixed states using single photon interferometry
- Orientational "Kerr effect" and phase modulation of light in deformed-helix ferroelectric liquid crystals with subwavelength pitch
- Mixed state geometric phases, entangled systems, and local unitary transformations
- Enhanced Kerr effect in vertically aligned deformed helix ferroelectric liquid crystals
- Symmetry-protected Topological Phases at Finite Temperature
- Light modulation in planar aligned short-pitch deformed-helix ferroelectric liquid crystals
- Berry and Pancharatnam Topological Phases of Atomic and Optical Systems
- The Uhlmann connection in fermionic systems undergoing phase transitions
- A General Setting for Geometric Phase of Mixed States Under an Arbitrary Nonunitary Evolution
- Topological order of mixed states in quantum many-body systems
- Geometric phase of a quantum dot system in nonunitary evolution
- Experimental Measurement of Mixed State Geometric Phase by Quantum Interferometry using NMR
- Modulation of unpolarized light in planar aligned subwavelength-pitch deformed-helix ferroelectric liquid crystals
- Geometric Phases for Mixed States of the Kitaev Chain
- Interplay between diffraction and the Pancharatnam-Berry phase in inhomogeneously twisted anisotropic media
- Remarkable optics of short-pitch deformed helix ferroelectric liquid crystals: symmetries, exceptional points and polarization-resolved angular patterns
- Geometric phase and Pancharatnam phase induced by light wave polarization
- A Symmetry Approach to Geometric Phase for Quantum Ensembles
- Mixed State Holonomies