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Related papers: Wave description of geometric phase

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The detection of low frequency gravitational waves (LFGWs) astronomy has marked an advent of new era in the domain of astrophysics and general relativity. Using the framework of interaction between GWs and a point two-particles like…

General Relativity and Quantum Cosmology · Physics 2023-11-29 Partha Nandi , Sounak Pal , Sayan Kumar Pal , Bibhas Ranjan Majhi

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 a previous paper we showed that the phase space of loop quantum gravity on a fixed graph can be parametrized in terms of twisted geometries, quantities describing the intrinsic and extrinsic discrete geometry of a cellular decomposition…

General Relativity and Quantum Cosmology · Physics 2010-11-11 Laurent Freidel , Simone Speziale

Quantum geometry governs a wide range of transport and optical phenomena in quantum materials. Recent works have explored analogue electromagnetism and gravity in terms of the quantum geometric tensor, whose real and imaginary parts…

Mesoscale and Nanoscale Physics · Physics 2026-03-24 Luca Maranzana , Koki Shinada , Ying-Ming Xie , Sergey Artyukhin , Naoto Nagaosa

A sequence of completely positive maps can be decomposed into quantum trajectories. The geometric phase or holonomy of such a trajectory is delineated. For nonpure initial states, it is shown that well-defined holonomies can be assigned by…

Quantum Physics · Physics 2009-11-13 Erik Sjöqvist

The geometric (Berry) phase of a two-level system in a dissipative environment is analyzed by using the second-quantized formulation, which provides a unified and gauge-invariant treatment of adiabatic and nonadiabatic phases and is thus…

Quantum Physics · Physics 2009-05-09 Kazuo Fujikawa , Ming-Guang Hu

Quantum reactive scattering calculations for the hydrogen exchange reaction H + H$_2$($v=4$, $j=0$) $\to$ H + H$_2$($v'$, $j'$) and its isotopic analogues are reported for ultracold collision energies. Due to the unique properties…

Chemical Physics · Physics 2015-10-14 Brian K. Kendrick , Jisha Hazra , Naduvalath Balakrishnan

We report the experimental observation of the nonlocal geometric phase in Hanbury Brown-Twiss polarized intensity interferometry. The experiment involves two independent, polar- ized, incoherent sources, illuminating two polarized…

The problem of geometric phase for an open quantum system is reinvestigated in a unifying approach. Two of existing methods to define geometric phase, one by Uhlmann's approach and the other by kinematic approach, which have been considered…

Quantum Physics · Physics 2009-11-11 A. T. Rezakhani , P. Zanardi

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

We demonstrate that a geometric phase, generated via a sequence of four optomechanical interactions, can be used to increase, or generate nonlinearities in the unitary evolution of a mechanical resonator. Interactions of this form lead to…

Quantum Physics · Physics 2013-08-20 K. E. Khosla , M. R. Vanner , W. P. Bowen , G. J. Milburn

The geometric or Berry phase, a characteristic of quasiparticles, is fundamental to the underlying quantum materials. The discoveries of new materials at a rapid pace nowadays call for efficient detection of the Berry phase. Utilizing…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Cheng-Zhen Wang , Chen-Di Han , Hong-Ya Xu , Ying-Cheng Lai

The dielectric property $(2\times2)$ of the anisotropic optical medium is found out considering the polarized photon as two component spinor of spherical harmonics.The Geometric Phase of single polarized photon has been evaluated in two…

Optics · Physics 2015-06-26 Dipti Banerjee

When an optical beam propagates through dielectric blocks, its optical phase is responsible for the path of the beam. In particular, the first order Taylor expansion of the geometrical part reproduces the path predicted by the Snell and…

Optics · Physics 2019-01-23 Silvania A. Carvalho , Stefano De Leo

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

We develop a geometric-phase framework for time-bin photonic qudits and propose a practical calibration and feed-forward algorithm for separating and compensating geometric (Pancharatnam-Berry), dynamical, and technical phase contributions.…

Quantum Physics · Physics 2026-05-01 Ryan Rae-Cheng Wee , Josef Bruzzese

Quantum interference between multiple pathways in molecular photodissociation often results in angular momentum polarization of atomic products and this can give deep insight into fundamental physical processes. For dissociation of diatomic…

Chemical Physics · Physics 2022-04-26 Chaya Weeraratna , Arthur G. Suits , Oleg S. Vasyutinskii

We investigate the geometric phases and the Bargmann invariants associated with a multi-level quantum systems. In particular, we show that a full set of `gauge-invariant' objects for an $n$-level system consists of $n$ geometric phases and…

Quantum Physics · Physics 2009-11-07 N. Mukunda , Arvind , S. Chaturvedi , R. Simon

Berry phases offer a geometric perspective on wave propagation and are key to designing materials with topological wave transport. However, controlling Berry phases is challenging due to their dependence on global integrals over the…

Mesoscale and Nanoscale Physics · Physics 2024-10-14 Cyrill Bösch , Marc Serra-Garcia , Christian Böhm , Andreas Fichtner

The notion of optical geometry, introduced more than twenty years ago as a formal tool in quantum field theory on a static background, has recently found several applications to the study of physical processes around compact objects. In…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Sonego , J. Almergren , M. Abramowicz
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