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An effect of geometrical phase shift is predicted for a light beam propagating in the field of a gravitational wave. Gravitational radiation detection experiments are proposed using this new effect, the corresponding estimates being given.

General Relativity and Quantum Cosmology · Physics 2012-11-15 N V Mitskievich , A I Nesterov

Dielectric metasurfaces provide a unique platform for efficient harmonic generation and optical wavefront manipulation at the nanoscale. While several approaches are available for performing wavefront shaping, the one exploiting geometric…

Geometric phases are a universal concept that underpins numerous phenomena involving multi-component wave fields. These polarization-dependent phases are inherent in interference effects, spin-orbit interaction phenomena, and topological…

Optics · Physics 2019-11-12 Konstantin Y. Bliokh , Miguel A. Alonso , Mark R. Dennis

The optical geometric phase encoded by the in-plane spatial orientation of microstructures has promoted the rapid development of numerous new-type optical meta-devices. However, pushing the concept of the geometric phase toward the acoustic…

Classical Physics · Physics 2022-06-08 Bingyi Liu , Zhiling Zhou , Yongtian Wang , Thomas Zentgraf , Yong Li , Lingling Huang

Geometric phases arise in a number of physical situations and often lead to systematic shifts in frequencies or phases measured in precision experiments. We describe, by working through some simple examples, a method to calculate geometric…

Quantum Physics · Physics 2009-12-29 Amar Vutha , David DeMille

The geometric phase is a universal concept in modern physics and has enabled the development of metasurfaces for versatile wavefront shaping. However, its realization in metasurfaces has been restricted to circularly polarized light,…

Optics · Physics 2025-11-11 Yubin Gao , Qikai Chen , Yaoguang Ma

Geometric phases play an enormous role in optics and are generally associated with the evolution of light's polarization state on the Poincar\'{e} sphere, or its spin on the sphere of spin directions. Here we put forward a new kind of…

Optics · Physics 2026-04-28 Alex J. Vernon , Konstantin Y. Bliokh

The geometric phase provides important mathematical insights to understand the fundamental nature and evolution of the dynamic response in a wide spectrum of systems ranging from quantum to classical mechanics. While the concept of…

Applied Physics · Physics 2025-03-19 Mohit Kumar , Fabio Semperlotti

Physical mechanism for the geometric phase in terms of angular momentum exchange is elucidated. It is argued that the geometric phase arising out of the cyclic changes in the tranverse mode space of the Gaussian light beams is a…

Quantum Physics · Physics 2015-06-26 S C Tiwari

Traditional optical phase imprinting of matter waves is of a dynamical nature. In this paper we show that both Abelian and non-Abelian geometric phases can be optically imprinted onto matter waves, yielding a number of interesting phenomena…

Quantum Physics · Physics 2015-05-13 Qi Zhang , Jiangbin Gong , C. H. Oh

The polarization matrix ($2\times2$) obtained from two component eigen-spinors of spherical harmonics help us to evaluate the differential matrix $N$ of the anisotropic optical medium. The geometric phase is realized through {\it helicity}…

Optics · Physics 2007-05-23 Dipti Banerjee

The mechanism of wavefront reconstruction by a geometric-optical reflection of reconstructing light from surfaces with constant phase differences between the object and reference waves used to record the interference fringe structure in the…

General Physics · Physics 2020-12-02 A. M. Smolovich

The wave description of geometric phase uses the superposition of light waves to explain the geometric phase's origin. While our previous work focused on a basis of linearly polarized waves, here we show that the same concepts can be…

Optics · Physics 2025-07-04 Luis Garza-Soto , Nathan Hagen

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

A relation between geometric phases and criticality of spin chains is established. As a result, we show how geometric phases can be exploited as a tool to detect regions of criticality without having to undergo a quantum phase transition.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Angelo C. M. Carollo , Jiannis K. Pachos

The differential geometric aspects of Geometric Phases are reviewed.

Mathematical Physics · Physics 2007-05-23 Péter Lévay

Metasurfaces based on geometric phase acquired from the conversion of the optical spin states provide a robust control over the wavefront of light, and have been widely employed for construction of various types of functional metasurface…

Applied Physics · Physics 2021-12-08 Bingyi Liu , Zhaoxian Su , Yong Zeng , Yongtian Wang , Lingling Huang , Shuang Zhang

In the search for phase change materials (PCM) that may rival traditional random access memory, a complete understanding of the amorphous to crystalline phase transition is required. For the well-known Ge2Sb2Te5 (GST) and GeTe (GT)…

Materials Science · Physics 2015-06-19 James L. Bosse , Ilya Grishin , Bryan D. Huey , Oleg V. Kolosov

The geometrical approach to phase transitions is illustrated by simulating the high-temperature representation of the Ising model on a square lattice.

Statistical Mechanics · Physics 2009-11-10 Wolfhard Janke , Adriaan M. J. Schakel

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
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