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We demonstrate the simple and deep equivalence between quantum coherence and nonclassicality and the definite way in which they determine metrological resolution. Moreover, we define a coherence observable consistent with a classical…

Quantum Physics · Physics 2021-09-10 Laura Ares , Alfredo Luis

The paper addresses the two-point correlations of electromagnetic waves in general random, bi-anisotropic media whose constitutive tensors are complex Hermitian, positive- or negative-definite matrices. A simplified version of the…

Optics · Physics 2009-11-13 Albert C. Fannjiang

The direct detection of gravitational waves provides the opportunity to measure fundamental aspects of gravity which have never been directly probed before, including the polarization of gravitational waves. In the context of searches for…

General Relativity and Quantum Cosmology · Physics 2017-08-18 Maximiliano Isi , Matthew Pitkin , Alan J. Weinstein

In a frame of quasi-crystal approximation the dispersion equations are obtained for the wave vector of a coherent electromagnetic wave propagating in a media which contains a random set of parallel dielectric cylinders with possible…

Optics · Physics 2007-05-23 Nadejda L. Cherkas

A theoretical description of electromagnetic waves in the background of a (weak) gravitational wave is presented. Explicit expressions are obtained for the Stokes parameters during the passage of a plane-fronted gravitational wave described…

General Relativity and Quantum Cosmology · Physics 2012-10-09 Shahen Hacyan

The circular polarization of gravitational waves is a powerful observable to test parity violation in gravity and to distinguish between the primordial or the astrophysical origin of the stochastic background. This property comes from the…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-02 Lorenzo Valbusa Dall'Armi , Atsushi Nishizawa , Angelo Ricciardone , Sabino Matarrese

Analyses based on quantum metrology have shown that the ability to localize the positions of two incoherent point sources can be significantly enhanced through the use of mode sorting. Here we theoretically and experimentally investigate…

We show that horizontally symmetric water waves are traveling waves. The result is valid for the Euler equations, and is based on a general principle that applies to a large class of nonlinear partial differential equations, including some…

Analysis of PDEs · Mathematics 2009-03-04 Mats Ehrnström , Helge Holden , Xavier Raynaud

We discuss different proposals for the degree of polarization of quantum fields. The simplest approach, namely making a direct analogy with the classical description via the Stokes operators, is known to produce unsatisfactory results.…

Quantum Physics · Physics 2010-09-23 G. Bjork , J. Soderholm , L. L. Sanchez-Soto , A. B. Klimov , I. Ghiu , P. Marian , T. A. Marian

We describe the formalism to analyze the mathematical ambiguities arising in partial-wave analysis of two spinless mesons produced with a linearly polarized photon beam. We show that partial waves are uniquely defined when all accessible…

After a brief introduction into the general importance of polarization observables for the analysis of a reaction, the basic density matrix formalism for the description of polarization phenomena is outlined and illustrated by explicit…

Nuclear Theory · Physics 2015-05-13 Hartmuth Arenhoevel

Matter wave interferometry is becoming an increasingly important technique in quantum metrology. However, unlike its photonic counterpart, this technique relies on the interference of particles possessing a non-zero rest mass and an…

Within the new description of the polarization structure of quantum light (given in Part I) some types of generalized coherent states related to the polarization SU(2) group are examined. With their help we give a quasiclassical description…

Quantum Physics · Physics 2008-02-03 V. P. Karassiov

While any two-dimensional mixed state of polarization of light can be represented by a combination of a pure state and a fully random state, any Mueller matrix can be represented by a convex combination of a pure component and three…

Optics · Physics 2017-04-05 Jose J. Gil

We give a higher even dimensional extension of vacuum colliding gravitational plane waves with the combinations of collinear and non-collinear polarized four-dimensional metric. The singularity structure of space-time depends on the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Metin Gurses , Emre O. Kahya , Atalay Karasu

In this paper we construct periodic capillarity-gravity water waves with a piecewise constant vorticity distribution. They describe water waves traveling on superposed linearly sheared currents that have different vorticities. This is…

Analysis of PDEs · Mathematics 2013-02-25 Calin Iulian Martin , Bogdan--Vasile Matioc

We obtain general formulae for the plus- and cross- polarized waveforms of gravitational radiation emitted by a cosmic string loop in transverse, traceless (synchronous, harmonic) gauge. These equations are then specialized to the case of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Bruce Allen , Adrian C. Ottewill

This paper studies the coherent acceleration of ions interacting with two electrostatic waves in a uniform magnetic field B0. This is a generalization of an earlier analysis of waves propagating perpendicularly to B0 to include the effect…

Plasma Physics · Physics 2009-11-10 D. J. Strozzi , A. K. Ram , A. Bers

We study Maxwell's equations in random media with small fluctuations of the electric permittivity. We consider a setup where the waves propagate toward a preferred direction, called range. We decompose the electromagnetic wave field in…

Analysis of PDEs · Mathematics 2016-01-05 Liliana Borcea , Josselin Garnier

The formalism of the exact six polarization modes of gravitational waves is constructed in terms of both the small metric perturbations and the Newman-Penrose scalars. The obtained formulae are applicable to any metric-compatible gravity…

General Relativity and Quantum Cosmology · Physics 2019-06-19 Young-Hwan Hyun , Yoonbai Kim , Seokcheon Lee
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