The Adiabatic Phase and Pancharatnam's Phase for Polarized Light

DOI10.1080/09500348714551321zbMath0941.81542OpenAlexW2062830522MaRDI QIDQ4490604

M. V. Berry

Publication date: 16 July 2000

Published in: Journal of Modern Optics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/09500348714551321

zbMATH Keywords

Berry phasePancharatnam phasepolarized lightquantum geometric phase

Mathematics Subject Classification ID

Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Foundations in optics and electromagnetic theory (78A02)

Related Items (23)

GEOMETRIC PHASE AND DISENTANGLEMENT OF A MOVING FOUR-LEVEL ATOM IN THE PRESENCE OF NONLINEAR MEDIUM ⋮ A MODIFIED MOYAL REPRESENTATION AND THE PANCHARATNAM PHASE OF TWO-LEVEL SYSTEMS ⋮ Geometric phase and entanglement for a single qubit interacting with deformed-states superposition ⋮ A classical optical approach to the `non-local Pancharatnam-like phases' in Hanbury-Brown-Twiss correlations ⋮ Berry’s phase for photons and topology in Maxwell’s theory ⋮ Quantum optimal control: practical aspects and diverse methods ⋮ On measuring the Pancharatnam phase. I: Interferometry ⋮ Evolution of Berry's phase in a graded-index medium. ⋮ Quantum state preparation of a mechanical resonator using an optomechanical geometric phase ⋮ Reconstruction phases in the planar three- and four-vortex problems ⋮ Geometric phase in weak measurements ⋮ Various pointer states approaches to polar modular values ⋮ Rotation and Lorentz transformations in \(2 \times 2\) and \(4 \times 4\) complex matrices and in polarized-light physics ⋮ The field of values of Jones matrices: classification and special cases ⋮ Wave dislocation lines threading interferometers ⋮ Geometric phases and coherent states ⋮ Falling cats, parallel parking, and polarized light ⋮ Vacuum Induced Spin-1/2 Berry’s Phase ⋮ Monopoles and instantons from Berry’s phase ⋮ The Majorana representation of polarization, and the Berry phase of light ⋮ The pancharatnam phase as a strictly geometric phase: A demonstration using pure projections ⋮ Geometry of quantum evolution ⋮ Geometric phases for wave packets in a uniform magnetic field

Cites Work

• Significance of Electromagnetic Potentials in the Quantum Theory
• Quantal phase factors accompanying adiabatic changes

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