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In this paper, we provide an accurate description of geometric phases emerging in simple optical systems -- nanostructures (metaatoms) interacting with vortex beams. We show that this interaction leads to a new class of geometric phase for…

Optics · Physics 2026-02-06 Kristina Frizyuk , Evgenii Menshikov , Mauro Spera

We develop geometric optics expansion up to the subleading order for circularly polarized electromagnetic waves on curved spacetime. This subleading order geometric optics expansion, in which the conventional eikonal function is modified by…

General Relativity and Quantum Cosmology · Physics 2022-12-13 Pravin Kumar Dahal

Geometric phase is a far-reaching concept in quantum and classical physics. The first discovered geometric phase, the Pancharatnam-Berry (PB) phase, has profoundly shaped nanophotonics through metasurfaces. However, the PB phase arises from…

Geometric Phase in Quantum Mechanics is generally formulated entirely in terms of geometric structure of the Complex Hilbert Space. We will exploit this fact in case of mixed states for three level open systems undergoing depolarization…

Quantum Physics · Physics 2025-11-12 Abhirup Chatterjee , Sobhan Kumar Sounda

Geometric phases play a crucial role in diverse fields. In chemistry they appear when a reaction path encircles an intersection between adiabatic potential energy surfaces and the molecular wavefunction experiences quantum-mechanical…

Quantum Physics · Physics 2024-02-05 Rocco Martinazzo , Irene Burghardt

Symmetry-driven phenomena arising in nonlocal metasurfaces supporting quasi-bound states in the continuum (q-BICs) have been opening new avenues to tailor enhanced light-matter interactions via perturbative design principles. Geometric…

Optics · Physics 2023-02-28 Adam Overvig , Yoshiaki Kasahara , Gengyu Xu , Andrea Alù

We report polarimetric measurements of geometric phases that are generated by evolving polarized photons along non-geodesic trajectories on the Poincar\'e sphere. The core of our polarimetric array consists of seven wave plates that are…

Quantum Physics · Physics 2015-10-14 O. Ortíz , Y. Yugra , A. Rosario , J. C. Sihuincha , J. C. Loredo , M. V. Andrés , F. De Zela

The response of a pair of differently polarized antennas is determined by their polarization states AND a phase between them which has a geometric part which becomes discontinuous at singular points in the parameter space. Such phase…

Astrophysics · Physics 2016-08-30 Rajendra Bhandari

We have constructed the geometric phases emerging from the non-trivial topology of a space-dependent magnetic field, interacting with the spin magnetic moment of a neutral particle. Our basic tool is the local unitary transformation which…

Atomic Physics · Physics 2015-06-05 Marie-Anne Bouchiat , Claude Bouchiat

Variations of polarization of the electronic field is a dielectric property quantified by Resta et al. and discovered to be a Berry phase of the electronic subsystem. In order to continue the previous research we wrote a scalar phase \Phi…

Materials Science · Physics 2008-03-21 Simone Selenu

We introduce, and propagate wave-packet solutions of, a single qubit system in which geometric gauge forces and phases emerge. We investigate under what conditions non-trivial gauge phenomena arise, and demonstrate how symmetry breaking is…

Quantum Physics · Physics 2012-10-25 B. Zygelman

We review the geometrical-optics evolution of an electromagnetic wave propagating along a curved ray trajectory in a gradient-index dielectric medium. A Coriolis-type term appears in Maxwell equations under transition to the rotating…

Optics · Physics 2009-09-19 Konstantin Y. Bliokh

We use group theoretic ideas and coset space methods to deal with problems in polarization optics of a global nature. These include the possibility of a globally smooth phase convention for electric fields for all points on the Poincar\'{e}…

Classical Physics · Physics 2018-02-13 Arvind , S. Chaturvedi , N. Mukunda

Geometric phases of trapped particles have been recognized as potential sources of false signals in experiments searching for a permanent electric dipole moment of the neutron. We present a new analysis that treats the spin fully quantum…

Nuclear Experiment · Physics 2015-07-29 A. Steyerl , C. Kaufman , G. Müller , S. S. Malik , A. M. Desai

We investigate interesting symmetry properties verified by the down-converted beams produced in optical parametric amplification with structured light. We show that the Poincar\'e sphere symmetry, previously demonstrated for first-order…

Optics · Physics 2022-01-19 R. B. Rodrigues , G. B. Alves , R. F. Barros , C. E. R. Souza , A. Z. Khoury

We present a vectorial analysis of the behavior of the electromagnetic field in the presence of boundaries with parabolic geometry. The relevance of the use of symmetries to find explicit closed expressions for the electromagnetic fields is…

Optics · Physics 2018-10-10 R. Gutiérrez-Jáuregui , R. Jáuregui

We propose a geometric hybrid Poincar\'e sphere (GHPS) as a unified geometrical framework for describing structured photon states with independently controllable spin angular momentum (SAM) and orbital angular momentum (OAM). Unlike the…

Quantum Physics · Physics 2026-01-15 Chihiro Tago , Takashi Kakue , Ken Morita

Steering a quantum harmonic oscillator state along cyclic trajectories leads to a path-dependent geometric phase. Here we describe an experiment observing this geometric phase in an electronic harmonic oscillator. We use a superconducting…

Quantum Physics · Physics 2013-06-21 M. Pechal , S. Berger , A. A. Abdumalikov , J. M. Fink , J. A. Mlynek , L. Steffen , A. Wallraff , S. Filipp

The geometric phase has acquired interest for optical devices such as achromatic phase shifters, spatial light modulators, frequency shifters, and planar lenses for wavefront engineering. Numerical work with Reusch piles with a large number…

Optics · Physics 2025-04-11 Akhlesh Lakhtakia

It is shown that the two complex Cartesian components of the electric field of a monochromatic electromagnetic plane wave, with a temporal and spatial dependence of the form ${\rm e}^{{\rm i} (kz - \omega t)}$, form a SU(2) spinor that…

Mathematical Physics · Physics 2013-03-20 G. F. Torres del Castillo , I. Rubalcava-Garcia