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We discuss the Aharonov--Bohm effect in three and four dimensional non--compact lattice Abelian Higgs model. We show analytically that this effect leads to the long--range Coulomb interaction of the charged particles, which is confining in…

High Energy Physics - Lattice · Physics 2007-05-23 M. N. Chernodub , F. V. Gubarev , M. I. Polikarpov

In this brief report we consider a non-local Abelian Higgs model in the presence of a neutralizing uniform background charge. We show that such a system possesses vortices which key feature is a strong radial electric field. We estimate the…

Superconductivity · Physics 2009-10-31 Egor Babaev

We study a variational Ginzburg-Landau type model depending on a small parameter $\epsilon>0$ for (tangent) vector fields on a $2$-dimensional Riemannian surface. As $\epsilon\to 0$, the vector fields tend to be of unit length and will have…

Analysis of PDEs · Mathematics 2017-01-24 Radu Ignat , Robert L. Jerrard

Vibrational-excitation cross sections of ground electronic state of carbon dioxide molecule by electron-impact through the CO2-(2\Pi) shape resonance is considered in the separation of the normal modes approximation. Resonance curves and…

Chemical Physics · Physics 2016-11-01 V. Laporta , J. Tennyson , R. Celiberto

The behavior of instantaneous and averaged vectors of the Poynting vector transverse component for the resulting field formed as a superposition of waves with different frequencies and different polarizations is considered. Results of…

Optics · Physics 2020-06-24 I. Mokhun , I. Bodyanchuk , K. Galushko , Y. Galushko , O. Val , Y. Viktorovskaya

We study the Ginzburg-Landau equations in order to describe a two-dimensional superconductor in a bounded domain. Using the properties of a particular integrability point ($\kappa = 1/ \sqrt2$) of these nonlinear equations which allows…

Superconductivity · Physics 2009-10-31 E. Akkermans , K. Mallick

Turbulence in highly magnetized plasma can be relativistic and induce an electric field comparable to the background magnetic field. Such a strong electric field can affect the emission process of non-thermal electrons. As the first step…

High Energy Astrophysical Phenomena · Physics 2024-03-05 Ryota Goto , Katsuaki Asano

We theoretically study physical properties of the low-energy quasiparticle excitations at the vortex core in the full-gap superconducting state of the Kondo lattice coupled to compensated metals. Based on the mean-field description of the…

Superconductivity · Physics 2020-08-10 Shoma Iimura , Motoaki Hirayama , Shintaro Hoshino

Local correlations of Z-vortex operators with gauge and Higgs fields (lattice quantum vortex profiles) as well as vortex two-point functions are studied in the crossover region near a Higgs mass of 100 GeV within the 3D SU(2) Higgs model.…

High Energy Physics - Lattice · Physics 2015-06-25 M. N. Chernodub , E. -M. Ilgenfritz , A. Schiller

The confining and topological properties of the compact Abelian Higgs model with doubly-charged Higgs field in three space-time dimensions are studied. We consider the London limit of the model. We show that the monopoles are forming…

High Energy Physics - Lattice · Physics 2010-05-27 M. N. Chernodub , R. Feldmann , E. -M. Ilgenfritz , A. Schiller

We study the creation of vortices by triggering the rotating Bose-Einstein condensates in a toroidal trap with trap parameters such as laser beam waist and Gaussian potential depth. By numerically solving the time-dependent Gross-Pitaevskii…

Quantum Gases · Physics 2022-12-28 M. Arivazhagan , P. Muruganandam , N. Athavan

In this paper we consider an Abelian Gauge Theory in R^4 equipped with the Minkowski metric. This theory leads to a system of equations, the Klein-Gordon-Maxwell equations, which provide models for the interaction between the…

Analysis of PDEs · Mathematics 2007-11-22 Vieri Benci , Donato Fortunato

Andreev reflection of thermal quasiparticles from quantized vortices is an important technique to visualize quantum turbulence in low temperature $^3$He-$B$. We revisit a problem of Andreev reflection from the isolated, rectilinear vortex…

Statistical Mechanics · Physics 2015-06-23 Yuri A. Sergeev , Carlo F. Barenghi , Shaun N. Fisher , Viktor Tsepelin , Nugzar Suramlishvili

We propose a modified version of the Ginzburg-Landau energy functional admitting static solitons and determine all the Painlev\'e-integrable cases of its Bogomolny equations of a given class of models. Explicit solutions are determined in…

High Energy Physics - Theory · Physics 2017-02-28 Felipe Contatto

We consider the Hawking radiation emitted by an evaporating black hole in JT gravity and compute the entropy of arbitrary subsets of the radiation in the slow evaporation limit, and find a zoo of possible island saddles. The Hawking…

High Energy Physics - Theory · Physics 2020-12-02 Timothy J. Hollowood , S. Prem Kumar , Andrea Legramandi

The vector and tensor fluctuations of vortices localizing gravity in the context of the six-dimensional Abelian Higgs model are studied. These string-like solutions break spontaneously six-dimensional Poincar\'e invariance leading to a…

High Energy Physics - Theory · Physics 2009-11-07 Massimo Giovannini

In this article,we study theoretically and numerically the interaction of a vortex induced by a rotating cylinder with a perpendicular plane. We show the existence of weak solutions to the swirling vortex models by using the Hopf extension…

Numerical Analysis · Mathematics 2017-08-02 Daozhi Han , Yifeng Hou , Roger Temam

For a Bose-Einstein condensate placed in a rotating trap, we give a simplified expression of the Gross-Pitaevskii energy in the Thomas Fermi regime, which only depends on the number and shape of the vortex lines. Then we check numerically…

Statistical Mechanics · Physics 2009-11-07 Amandine Aftalion , Tristan Riviere

We study the phase structure of a three dimensional Abelian Higgs model with singly- and doubly-charged scalar fields coupled to a compact Abelian gauge field. The model is pretending to describe systems of strongly correlated electrons…

Strongly Correlated Electrons · Physics 2009-11-11 M. N. Chernodub , E. -M. Ilgenfritz , A. Schiller

Excitation of spin wave modes of a vortex-state magnetic dot by an out-of-plane oscillating magnetic field is studied numerically in the presence of a static in-plane magnetic field. It is shown, that the application of the in-plane static…

Mesoscale and Nanoscale Physics · Physics 2016-04-26 Yan Liu , Yan Zhou , P. Dürrenfeld , Y. Yin , D. W. Wang , A. N. Slavin , A. Ruotolo