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We present an analytical means of quantifying the fractional accumulation of geometric phase for an optical vortex transiting a cylindrical lens. The standard fiber bundle of a Sphere of Modes is endowed with a Supplementary Product Space…

Optics · Physics 2022-05-24 Mark T. Lusk , Andrew A. Voitiv , Chuanzhou Zhu , Mark E. Siemens

Many intracellular processes continue to oscillate during the cell cycle. Although it is not well-understood how they are affected by discontinuities in the cellular environment, the general assumption is that oscillations remain robust…

Molecular Networks · Quantitative Biology 2014-09-25 David S. Tourigny

The internal birefringence of an optical medium develops the dynamical phase through natural rotation of incident polarized light. The uniform twist of the medium induces an external birefringence in the system.This can be visualized…

Quantum Physics · Physics 2015-06-15 Dipti Banerjee , Srutarshi Banerjee

The connection between the quantum-vacuum geometric phases (which originates from the vacuum zero-point electromagnetic fluctuation) and the non-normal product procedure is considered in the present Letter. In order to investigate this…

Quantum Physics · Physics 2009-11-10 Jian Qi Shen

The geometrical phase of a time-dependent singular oscillator is obtained in the framework of Gaussian wave packet. It is shown by a simple geometrical approach that the geometrical phase is connected to the classical nonadiabatic Hannay…

Quantum Physics · Physics 2007-05-23 Mustapha Maamache , Hacene Bekkar

The study of geometric phase in quantum mechanics has so far be confined to discrete (or continuous) spectra and trace preserving evolutions. Consider only the transmission channel, a scattering process with internal degrees of freedom is…

Quantum Physics · Physics 2013-05-29 H. D. Liu , X. X. Yi

By means of the Helmholtz theorem on the decomposition of vector fields, the angular momentum of the classical electromagnetic field is decomposed, in a general and manifestly gauge invariant manner, into a spin component and an orbital…

Optics · Physics 2007-05-23 A. M. Stewart

The structure of Langmuir plasma waves carrying a finite angular orbital momentum is revised in the paraxial optics approximation. It is shown that the kinetic effects related to higher-order momenta of the electron distribution function…

Plasma Physics · Physics 2019-07-24 D. Blackman , R. Nuter , Ph. Korneev , V. T. Tikhonchuk

We develop a geometric description of structured Gaussian beams, a form a structured light, by applying geometric quantisation and symplectic reduction to the 2D harmonic oscillator. Our results show that the geometric quantisation of the…

Optics · Physics 2025-03-27 Kerr Maxwell

A beam of light, reflected at a planar interface, does not follow perfectly the ray optics prediction. Diffractive corrections lead to beam shifts; either the reflected beam is displaced (spatial shift) and/or travels in a different…

Optics · Physics 2012-11-26 W. Löffler , Andrea Aiello , J. P. Woerdman

The problem of light waves interaction with charged particles becomes more and more complex starting with the case of plane waves, where the analytical solution is well known, to more natural, though more complicated situations which…

Plasma Physics · Physics 2024-07-22 Egor Dmitriev , Philipp Korneev

We study the geometric phase acquired by an inertial atom whose trajectories are parallel to a reflecting boundary due its coupling to vacuum fluctuations of electromagnetic fields, by treating the atom as an open quantum system in a bath…

Quantum Physics · Physics 2012-12-14 Hongwei Yu , Jiawei Hu

The relationship between quantum phase transition and complex geometric phase for open quantum system governed by the non-Hermitian effective Hamiltonian with the accidental crossing of the eigenvalues is established. In particular, the…

Quantum Physics · Physics 2008-11-26 Alexander I. Nesterov , S. G. Ovchinnikov

In the framework of open quantum systems, we study the geometric phase acquired by freely falling and static two-level atoms interacting with quantized conformally coupled massless scalar fields in de Sitter-invariant vacuum. We find that,…

High Energy Physics - Theory · Physics 2015-06-15 Zehua Tian , Jiliang Jing

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

We propose a new way to generate an observable geometric phase by means of a completely incoherent phenomenon. We show how to imprint a geometric phase to a system by "adiabatically" manipulating the environment with which it interacts. As…

Quantum Physics · Physics 2009-11-11 Angelo Carollo , G. Massimo Palma , Artur Lozinski , Marcelo Franca Santos , Vlatko Vedral

Appearance of adiabatic geometric phase shift in the context of noncommutative quantum mechanics is studied using an exactly solvable model of 2D simple harmonic oscilator in Moyal plane, where momentum non-commutativity are also considered…

High Energy Physics - Theory · Physics 2020-09-02 Saptarshi Biswas , Partha Nandi , Biswajit Chakraborty

The geometric phase of light is a fascinating phenomenon in optics and arises whenever there is a change in the polarization state of light. It is a fundamentally well-established concept and has recently found extensive applications,…

Optics · Physics 2026-02-03 A. Srinivasa Rao

We use the quantum kinematic approach to revisit geometric phases associated with polarizing processes of a monochromatic light wave. We give the expressions of geometric phases for any, unitary or non-unitary, cyclic or non-cyclic…

Optics · Physics 2015-02-17 J. Lages , R. Giust , J. -M. Vigoureux

We present a feasible scheme to investigate the geometric phase for an atom trapped in an optical cavity induced by the effective decay process due to cavity photon loss. The cavity mode, together with the external driving fields, acts as…

Quantum Physics · Physics 2012-05-08 Shi-Biao Zheng
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