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A focusing system such as a single lens or a spherical mirror imparts intrinsic transverse orbital angular momentum (OAM) to spatiotemporal (ST) coupled fields the ST intensity distribution of which presents ST covariance. This fact may…

Optics · Physics 2024-02-28 Miguel A. Porras , Spencer W. Jolly

Photons carrying orbital angular momentum (OAM) are excellent qudits and are widely used in several applications, such as long distance quantum communication, $d$-dimensional teleportation and high-resolution imaging and metrology. All…

Quantum Physics · Physics 2020-11-30 Alexandra Maria Palici , Tudor-Alexandru Isdraila , Stefan Ataman , Radu Ionicioiu

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

We address the possibility of using even/odd states of orbital angular momentum (OAM) of photons for the quantum information tasks. Single photon qubit states and two photon entangled states in even/odd basis of OAM are considered. We…

Quantum Physics · Physics 2017-05-24 Chithrabhanu Perumangatt , Nijil Lal , Ali Anwar , Salla Gangi Reddy , R. P. Singh

We derive an exact formula for the angular Schmidt spectrum of the orbital angular momentum (OAM)-entangled states produced by parametric down-conversion (PDC). We show that our formula yields true theoretical spectrum without any…

Optics · Physics 2018-07-05 Girish Kulkarni , Lavanya Taneja , Shaurya Aarav , Anand K. Jha

We presented a new method for measuring the squares of the amplitudes and phases of partial vortex-beams in a complex beam array in real time. The method is based on measuring the high-order intensity moments and analyzing the solutions of…

Optics · Physics 2018-12-05 A. Volyar , M. Bretsko , Ya. Akimova , Yu. Egorov

We develop a formalism for mapping the exact dynamics of an ensemble of disordered quantum systems onto the dynamics of a single particle propagating along a semi-infinite lattice, with parameters determined by the probability distribution…

Quantum Physics · Physics 2026-03-17 Hallmann Óskar Gestsson , Charlie Nation , Alexandra Olaya-Castro

Through refined asymptotic analysis based on the normal approximation, we study how higher-order coding performance depends on the mean power as well as on finer statistics of the input power. We introduce a multifaceted power model in…

Information Theory · Computer Science 2026-05-13 Adeel Mahmood , Aaron B. Wagner

This work proposes the use of orbital angular momentum (OAM) waves to improve the performance of a computational imaging (CI) system. Specifically, in contrast to a solely frequency-diverse operation, leveraging multiple OAM waves leads to…

We analyze the response of a complex quantum-mechanical system (e. g., a quantum dot) to a time-dependent perturbation. Assuming the dot energy spectrum and the perturbation to be described by the Gaussian Orthogonal Ensemble of random…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 D. M. Basko , M. A. Skvortsov , V. E. Kravtsov

Orbital angular momentum (OAM) has gradually become a research hotspot in radar, communication and other fields because of its phase distribution. However it encounters some problems in the real practice owing to its inherent…

Classical Physics · Physics 2020-06-02 Zelin Zhu , Shilie Zheng , Xiaowen Xiong , Yuqi Chen , Xiaofeng Jin , Xianbin Yu , Xianmin Zhang

We address the quantum-classical correspondence for chaotic systems with a crossover between symmetry classes. We consider the energy level statistics of a classically chaotic system in a weak magnetic field. The generating function of…

Chaotic Dynamics · Physics 2015-05-13 Keiji Saito , Taro Nagao , Sebastian Muller , Petr Braun

Optical orbital angular momentum (OAM), as an important degree of freedom of light, has been attracted extensive attention, due to its intrinsic feature of natural discrete infinite dimension. Manipulation of OAM spectra is crucial for many…

A general orbital angular momentum (OAM) mode selection principle is put forward involving the rotationally symmetric superposition of chiral states. This principle is not only capable of explaining the operation of spiral zone plate…

Quantum Physics · Physics 2017-09-06 Yuanjie Yang , G. Thirunavukkarasu , M. Babiker , Jun Yuan

We semiclassically derive the leading off-diagonal correction to the spectral form factor of quantum systems with a chaotic classical counterpart. To this end we present a phase space generalization of a recent approach for uniformly…

Chaotic Dynamics · Physics 2009-11-10 M. Turek , K. Richter

In this article the statistical properties of symmetrical random matrices whose elements are drawn from a q-parameterized non-extensive statistics power-law distribution are investigated. In the limit as q->1 the well known Gaussian…

Statistical Mechanics · Physics 2007-05-23 John Evans , Fredrick Michael

In classical systems, our recent theoretical study provides new insight into how spatial constraint on the system connects with macroscopic properties, which lead to universal representation of equilibrium macroscopic physical property and…

Disordered Systems and Neural Networks · Physics 2016-11-10 Koretaka Yuge , Kazuhito Takeuchi , Tetuya Kishimoto

Orbital angular momentum (OAM), a topological degree of freedom of light, is theoretically invariant under continuous deformations; yet, its physical observability degrades precipitously in complex media, creating a fundamental…

Optics · Physics 2026-03-06 Shuailing Wang , Jingping Xu , Yaping Yang

The Quantum Approximate Optimization Algorithm (QAOA) is a general purpose quantum algorithm designed for combinatorial optimization. We analyze its expected performance and prove concentration properties at any constant level (number of…

Quantum Physics · Physics 2023-07-19 Joao Basso , David Gamarnik , Song Mei , Leo Zhou

We implement an interferometric method using two angular slits to measure the orbital angular momentum (OAM) mode spectrum of a partially coherent field. As the angular separation of the slits changes, an interference pattern for a…

Optics · Physics 2012-12-06 Mehul Malik , Sangeeta Murugkar , Jonathan Leach , Robert W. Boyd