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In this work we study various notions of uncertainty for angular momentum in the spin-s representation of SU(2). We characterize the "uncertainty regions'' given by all vectors, whose components are specified by the variances of the three…

Quantum Physics · Physics 2015-10-05 Lars Dammeier , René Schwonnek , Reinhard F. Werner

To more flexibly balance between exploration and exploitation, a new meta-heuristic method based on Uncertainty Principle concepts is proposed in this paper. UP is is proved effective in multiple branches of science. In the branch of…

Neural and Evolutionary Computing · Computer Science 2020-06-18 Mojtaba Moattari , Mohammad Hassan Moradi , Emad Roshandel

Orbital angular momentum (OAM) has aroused a widespread interest in many fields, especially in telecommunications due to its potential for unleashing new capacity in the severely congested spectrum of commercial communication systems. Beams…

Applied Physics · Physics 2019-12-19 Rui Chen , Hong Zhou , Marco Moretti , Xiaodong Wang , Jiandong Li

Conventionally, intrinsic orbital angular momentum (OAM) is associated with phase vortices. However, our investigation into the propagation dynamics of 2D superimposed catastrophe beams, termed cyclone catastrophe beams (CCBs), reveals that…

The evolution of an entangled photon state propagating through a turbulent atmosphere is formulated in terms of a set of coupled first order differential equations, by using an infinitesimal propagation approach. The orbital angular…

Optics · Physics 2010-09-29 Filippus S. Roux

The uncertainty principle sets the limit for simultaneous measurements of position and momentum, and its angular analogue is realized through angular diffraction. When a beam is spatially confined by angular slits, the uncertainty in its…

Optics · Physics 2025-09-18 Jayson P. Cabanilla , Nathaniel Hermosa

Light's orbital angular momentum (OAM) is an unbounded degree of freedom emerging in helical beams that appears very advantageous technologically. Using a chiral microlaser, i.e. an integrated device that allows generating an emission…

Orbital angular momentum (OAM) of light is an attractive degree of freedom for funda- mentals studies in quantum mechanics. In addition, the discrete unbounded state-space of OAM has been used to enhance classical and quantum…

Quantum Physics · Physics 2013-11-18 Mohammad Mirhosseini , Mehul Malik , Zhimin Shi , Robert W. Boyd

The orbital angular momentum (OAM) of light and optical vortices are closely related concepts that are often conflated. The conserved OAM arises fundamentally from the SO(3) rotational symmetry of spacetime, while the concept of vortices…

Optics · Physics 2025-05-06 Rui-Feng Liang , L. Yang

A matrix representation is introduced for stationary beam-like light fields that allows for simultaneous treatment of the orbital angular momentum (OAM) and the second-order state of spatial coherence. This Coherence-OAM matrix is a…

Optics · Physics 2021-03-03 Olga Korotkova , Greg Gbur

We developed a method to characterize arbitrary superpositions of light orbital angular momentum (OAM) with high fidelity by using astigmatic tomography and machine learning processing. In order to define each superposition unequivocally,…

The uncertainty relation between angle and orbital angular momentum had not been formulated in a similar form as the uncertainty relation between position and linear momentum because the angle variable is not represented by a quantum…

Quantum Physics · Physics 2015-07-17 Shogo Tanimura

We report the first experimental characterization of the first-order continuous variable orbital angular momentum states. Using a spatially non-degenerate optical parametric oscillator (OPO) we produce quadrature entanglement between the…

Quantum Physics · Physics 2015-05-13 Mikael Lassen , Gerd Leuchs , Ulrik L. Andersen

Over the past decade, optical orbital angular momentum (OAM) modes were shown to offer advantages in optical information acquisition. Here, we introduce a new scheme for optical ranging in which depth is estimated through the angular…

The design of optical systems capable of processing and manipulating ultra-short pulses and ultra-focused beams is highly challenging with far reaching fundamental technological applications. One key obstacle routinely encountered while…

Exactly Solvable and Integrable Systems · Physics 2016-04-13 Maria Chiara Braidotti , Ziad H. Musslimani , Claudio Conti

In this work, an explicit formula is deduced for identifying the orbital angular moment (OAM) of vectorial vortex with space-variant state of polarization (SOP). Different to scalar vortex, the OAM of vectorial vortex can be attributed to…

Optics · Physics 2018-10-30 Dengke Zhang , Xue Feng , Kaiyu Cui , Fang Liu , Yidong Huang

Light beams can carry a discrete, in principle unbounded amount of angular momentum. Examples of such beams, the Laguerre-Gauss modes, are frequently expressed as solutions of the paraxial wave equation. There, they are eigenstates of the…

Optics · Physics 2016-03-07 Mario Krenn , Nora Tischler , Anton Zeilinger

It is demonstrated that the orbital angular momentum (OAM) carried by the elliptic beam without the phase-singularity can induce the anisotropic diffraction (AD). The quantitative relation between the OAM and its induced AD is analytically…

Optics · Physics 2018-05-09 Guo Liang , Yuqing Wang , Qi Guo , Huicong Zhang

We present an approach for measuring the orbital angular momentum (OAM) of light tailored towards applications in spectroscopy and non-integer OAM values. It is based on the OAM sorting method (Berkhout et al., Phys. Rev. Lett. 105, 153601…

Optics · Physics 2018-12-05 Bernd Berger , Marius Kahlert , Daniel Schmidt , Marc Aßmann

Optical orbital angular momentum (OAM) has traditionally relied on vortex beams with helical phase fronts imparting quantized intrinsic OAM. Here, we introduce a fundamentally vortex_free framework where intrinsic OAM arises from the…