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We review Heisenberg's uncertainty principle for the orbital angular momentum (OAM) of light. By taking into account the largest and smallest scales present in nature, such as the the Hubble radius and the Planck length, we have found that…

Optics · Physics 2012-01-17 F. Tamburini , B. Thidé , A. Sponselli

One of the most important properties of orbital angular momentum (OAM) of photons is that the Hilbert space required to describe a general quantum state is infinite dimensional. In principle, this could allow for encoding arbitrarily large…

Quantum Physics · Physics 2013-08-23 Jose Raul Gonzalez Alonso , Todd Brun

The identification of orbital angular momentum (OAM) as a fundamental property of a beam of light nearly twenty-five years ago has led to an extensive body of research around this topic. The possibility that single photons can carry OAM has…

Quantum Physics · Physics 2017-01-10 Mario Krenn , Mehul Malik , Manuel Erhard , Anton Zeilinger

In optical experiments involving a single photon that takes alternative paths through an optical system and ultimately interferes with itself (e.g., Young's double-slit experiment, Mach-Zehnder interferometer, Sagnac interferometer), there…

Quantum Physics · Physics 2022-10-06 Masud Mansuripur

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

Orbital angular momentum (OAM) of photons, as a new fundamental degree of freedom, has excited a great diversity of interest, because of a variety of emerging applications. Arbitrarily tunable OAM has gained much attention, but its creation…

Orbital angular momentum entanglement is one of the most intriguing topics in quantum physics. A broad range of research have been dedicated either to unravel its underlying physics or to expand the entanglement dimensions and degrees. In…

Optics · Physics 2018-08-29 Wei Li , Shengmei Zhao

We obtain an expression for the matrix element for a twisted (Laguerre-Gaussian profile) photon scattering from a hydrogen atom. We consider photons incoming with an orbital angular momentum (OAM) of $\ell \hbar$, carried by a factor of…

Quantum Physics · Physics 2013-02-06 Basil S. Davis , L. Kaplan , J. H. McGuire

We show that when an electron or photon propagates in a cylindrically symmetric waveguide, its spin angular momentum (SAM) and its orbital angular momentum (OAM) interact. Remarkably, we find that the dynamics resulting from this spin-orbit…

Quantum Physics · Physics 2009-12-09 C. C. Leary , M. G. Raymer , S. J. van Enk

Single photons with helical phase structures may carry a quantized amount of orbital angular momentum (OAM) and their entanglement is important for quantum information science and fundamental tests of quantum theory. Because there is no…

Thanks to progress in optics in the past two decades, it is possible to create photons carrying well-defined non-zero orbital angular momentum (OAM). Boosting these photons into high-energy range preserving their OAM seems feasible.…

High Energy Physics - Phenomenology · Physics 2015-05-28 I. P. Ivanov

Today, it is well known that light possesses a linear momentum which is along the propagation direction. Besides, scientists also discovered that light can possess an angular momentum (AM), a spin angular momentum (SAM) associated with…

Optics · Physics 2020-07-15 Andy Chong , Chenhao Wan , Jian Chen , Qiwen Zhan

Photons with a twisted phase front carry a quantized amount of orbital angular momentum (OAM) and have become important in various fields of optics, such as quantum and classical information science or optical tweezers. Because no upper…

Quantum Physics · Physics 2016-11-21 Robert Fickler , Geoff T. Campbell , Ben C. Buchler , Ping Koy Lam , Anton Zeilinger

Intense laser ionization expands Einstein's photoelectric effect rules giving a wealth of phenomena widely studied over the last decades. In all cases, so far, photons were assumed to carry one unit of angular momentum. However it is now…

Quantum Physics · Physics 2010-02-09 A. Picón , J. Mompart , J. R. Vázquez de Aldana , L. Plaja , G. F. Calvo , L. Roso

High-dimensional quantum systems offer many advantages over low-dimensional quantum systems. Meanwhile, unitary transformations on quantum states are important parts in various quantum information tasks, whereas they become technically…

Quantum Physics · Physics 2023-05-10 Dong-Xu Chen , Yunlong Wang , Feiran Wang , Jun-Long Zhao , Chui-Ping Yang

In the theory of modern physics, such as in relativity and quantum mechanics, the three-dimensionality of space is introduced as a presupposed fact. The three-dimensionality of particle motion, that is, the three-dimensionality of particle…

General Physics · Physics 2018-01-12 Xiaoshuang Shen

The angular uncertainty principle (angular-UP) states the orbital angular momentum (OAM) is precisely defined in an optical vortex with angular position (AP) ranging over 2{\pi} azimuthal coordinate ({\phi}). However, the pair of observable…

Optics · Physics 2020-12-02 Hsiao-Chih Huang

Heisenberg showed in the early days of quantum theory that the uncertainty principle follows as a direct consequence of the quantization of electromagnetic radiation in the form of photons. As we show here the gravitational interaction of…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Ronald J. Adler , David I. Santiago

Vortices are whirling disturbances commonly found in nature ranging from tremendously small scales in Bose-Einstein condensates to cosmologically colossal scales in spiral galaxies. An optical vortex, generally associated with a spiral…

Optics · Physics 2021-08-23 Chenhao Wan , Jian Chen , Andy Chong , Qiwen Zhan

It is shown that the spin and orbital angular momentum of electric dipole photons have the same operator structure and may differ from each other only by spatial dependence in the very vicinity of the atom. It is shown that the photon twins…

Quantum Physics · Physics 2007-05-23 M. A. Can , Ozgur Cakir , A. Horzela , E. Kapuscik , A. A. Klyachko , A. S. Shumovsky
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