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This paper is an attempt to classify finite-time singularities of PDEs. Most of the problems considered describe free-surface flows, which are easily observed experimentally. We consider problems where the singularity occurs at a point, and…

Analysis of PDEs · Mathematics 2007-11-06 Jens Eggers , Marco A. Fontelos

A novel spin polarization separation of reflected light is observed, when a linearly polarized Gaussian beam impinges on an air-glass interface at Brewster angle. In the far-field zone, spins of photons are oppositely polarized in two…

Optics · Physics 2015-06-05 Yang Lv , Zefang Wang , Yu Jin , Mingtao Cao , Liang Han , Pei Zhang , Hongrong Li , Hong Gao , Fuli Li

Quantum systems are often described by parameter-dependent Hamiltonians. Points in parameter space where two levels are degenerate can carry a topological charge. Here we theoretically study an interacting two-spin system where the…

Mesoscale and Nanoscale Physics · Physics 2022-02-03 György Frank , Dániel Varjas , Péter Vrana , Gergő Pintér , András Pályi

It has been long recognized that the spatial polarization of the electronic clouds in molecules, and the spatial arrangements of atoms into chiral molecular structures, play crucial roles in physics, chemistry and biology. However, these…

Optics · Physics 2020-04-14 David Ayuso , Andres Ordonez , Piero Decleva , Misha Ivanov , Olga Smirnova

An axisymmetric space-localized solution of nonlinear electrodynamics is considered as massive charged particle with spin and magnetic moment. The appropriate solution for nonlinear electrodynamics with ring singularity is investigated. In…

Mathematical Physics · Physics 2012-12-18 Alexander A. Chernitskii

We have experimentally studied the non-equilibrium transport in low-density clean 2D electron systems at mesoscopic length scales. At zero magnetic field (B), a double-peak structure in the non-linear conductance was observed close to the…

Strongly Correlated Electrons · Physics 2009-11-10 A. Ghosh , C. J. B. Ford , M. Pepper , H. E. Beere , D. A. Ritchie

It is shown that a scalar field, minimally coupled to gravity may have collapsing modes even when the energy condition is violated, that is, for $(\rho+3p)<0$. This result may be useful in the investigation of the possible clustering of…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Koyel Ganguly , Narayan Banerjee

Two microring resonators, one with gain and one with loss, coupled to each other and to a bus waveguide, create an effective non-Hermitian potential for light propagating in the waveguide. Due to geometry, coupling for each microring…

Optics · Physics 2019-04-10 Vladimir V. Konotop , Barry C. Sanders , Dmitry A. Zezyulin

Localization of electrons in 1D disordered systems is usually described in the random phase approximation, when distributions of phases \varphi and \theta, entering the transfer matrix, are considered as uniform. In the general case, the…

Disordered Systems and Neural Networks · Physics 2023-10-27 S. I. Bozhevolnyi , I. M. Suslov

Inhomogeneities can influence the polarisation emerging from a synchrotron source. However, it is shown that the frequency distribution of circular polarisation is only marginally affected, although its magnitude may change substantially.…

High Energy Astrophysical Phenomena · Physics 2020-05-13 C. -I. Bjornsson

The singularities of the electromagnetic field are derived to include all the point-like multipoles representing an electric charge and current distribution. Firstly derived in the static case, the result is generalized to the dynamic one.…

Classical Physics · Physics 2015-05-14 C. Vrejoiu , R. Zus

In thin films of smectic-C liquid crystals, localized regions containing additional smectic layers form circular inclusions that carry a topological charge. Such inclusions nucleate a companion topological defect. These inclusion-defect…

Soft Condensed Matter · Physics 2007-05-23 David Pettey , T. C. Lubensky , Darren Link

The spatiotemporal sculpturing of light beams with arbitrary phase and polarization topologies has garnered significant attention in recent years due to its potential to advance optical technologies and reveal novel physical phenomena.…

We propose a formal resource-theoretic approach to quantify the degree of polarization of two and three-dimensional random electromagnetic fields. This endows the space of spectral polarization matrices with the orders induced by…

Quantum Physics · Physics 2018-02-07 G. M. Bosyk , G. Bellomo , A. Luis

We present a study of 3D electromagnetic field zeros, uncovering their remarkable characteristic features and propose a classifying framework. These are a special case of general dark spots in optical fields, which sculpt light's spatial…

We describe how quasiclassical relative positions of particles emerge in an initially delocalized quantum system as scattering of a probe beam is observed. We show that in the multiparticle case this localization in position space occurs…

Quantum Physics · Physics 2015-05-04 James S. Douglas , Keith Burnett

The one-loop effective action for QED in curved spacetime contains equivalence principle violating interactions between the electromagnetic field and the spacetime curvature. These interactions lead to the dependence of photon velocity on…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Rong-Gen Cai

We propose the entanglement dipole polarization to describe the topological quadrupole phase. The quadrupole moment can be regarded as a pair of the dipole moment, in which the total dipole moment is canceled. The entanglement polarization,…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 T. Fukui , Y. Hatsugai

The circular polarization of light that planets reflect is often neglected because it is very small compared to the linear polarization. It could, however, provide information on a planet's atmosphere and surface, and on the presence of…

Earth and Planetary Astrophysics · Physics 2018-08-29 Loïc Rossi , Daphne M. Stam

The phenomenological theory revealing the generic effects of the problem symmetry, its violation, and energy conservation law on the singularities of the Poynting vector field is presented. The bifurcation scenario of their formation…

Optics · Physics 2024-01-18 Michael I. Tribelsky