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Cosmic vortons are closed loops of superconducting cosmic strings carrying current and charge. Despite a large number of studies the existence and stability of cosmic vorton solutions is still an open problem. Numerical simulations of the…

High Energy Physics - Theory · Physics 2008-11-26 Richard Battye , Paul Sutcliffe

We present field theory simulations of a model with Z_2xU(1) symmetry in (2+1)-dimensions. This model has two discrete vacua, allowing for domain walls, and also a conserved Noether charge. For initial conditions in which the field is…

High Energy Physics - Theory · Physics 2009-11-02 Richard A. Battye , Jonathan A. Pearson , Simon Pike , Paul M. Sutcliffe

It was recently found that the Lee-Huang-Yang (LHY) correction to the mean-field Hamiltonian suppresses the collapse and creates stable localized modes (two-component "quantum droplets", QDs) in two and three dimensions. We construct…

Quantum Gases · Physics 2018-12-12 Yongyao Li , Zhaopin Chen , Zhihuan Luo , Chunqing Huang , Haishu Tan , Wei Pang , Boris A. Malomed

Domain walls formed during a phase transition in a simple field theory model with $\mathbb{Z}_2$ symmetry in a periodic box have been demonstrated to annihilate as fast as causality allows and their area density scales $\propto t^{-1}$. We…

High Energy Physics - Phenomenology · Physics 2025-02-13 Richard A. Battye , Steven J. Cotterill , Eva Sabater Andres , Adam K. Thomasson

We demonstrate that two-dimensional two-component bright solitons of an annular shape, carrying vorticities $(m,\pm m)$ in the components, may be stable in media with the cubic-quintic nonlinearity, including the \textit{hidden-vorticity}…

Pattern Formation and Solitons · Physics 2009-11-10 A. S. Desyatnikov , D. Mihalache , D. Mazilu , B. A. Malomed , C. Denz , F. Lederer

Two-dimensional (2D) equations describing the nonlinear interaction between upper-hybrid and dispersive magnetosonic waves are presented. Nonlocal nonlinearity in the equations results in the possibility of existence of stable 2D nonlinear…

Plasma Physics · Physics 2009-11-13 V. M. Lashkin

In gauge theories with an extended Higgs sector the classical equations of motion can have solutions that describe stable, closed finite energy vortices. Such vortices separate two disjoint Higgs vacua, with one of the vacua embedded in the…

High Energy Physics - Theory · Physics 2007-05-23 Antti J. Niemi , Kaupo Palo , Sami Virtanen

We study two-dimensional (2D) vortex quantum droplets (QDs) trapped by a thicker transverse confinement with a>1um. Under this circumstance, the Lee-Huang-Yang (LHY) term should be described by its original form in the three-dimensional…

Quantum Gases · Physics 2020-10-28 Zeda Lin , Xiaoxi Xu , Zikang Chen , Ziteng Yan , Zhijie Mai , Bin Liu

Vortons are closed loops of superconducting strings carrying current and charge. A formalism has been developed to study vortons in terms of an elastic string approximation, but its implementation requires knowledge of the unknown equation…

High Energy Physics - Theory · Physics 2009-11-05 Richard Battye , Paul Sutcliffe

We consider a two-dimensional (2D) two-component spinor system with cubic attraction between the components and intra-species self-repulsion, which may be realized in atomic Bose-Einstein condensates, as well as in a quasi-equilibrium…

We find that a $Z$-string is stable in a wide range of parameter space of the two Higgs doublet model due to a split into a pair of two topological $Z$-strings with fractional $Z$ fluxes. This configuration, a bound state of the two strings…

High Energy Physics - Phenomenology · Physics 2022-02-23 Minoru Eto , Yu Hamada , Muneto Nitta

We report the existence of stable symmetric vortex-type solutions for two-dimensional nonlinear discrete dissipative systems governed by a cubic-quintic complex Ginzburg-Landau equation. We construct a whole family of vortex solitons with a…

Starting from the Liouville equation, we derive the exact hierarchy of equations satisfied by the reduced distribution functions of the single species point vortex gas in two dimensions. Considering an expansion of the solution in powers of…

Statistical Mechanics · Physics 2009-11-13 P. H. Chavanis

The nonlinear lattice---a new and nonlinear class of periodic potentials---was recently introduced to generate various nonlinear localized modes. Several attempts failed to stabilize two-dimensional (2D) solitons against their intrinsic…

Optics · Physics 2017-06-09 Xuzhen Gao , Jianhua Zeng

We introduce spatiotemporal solitons of the two-dimensional complex Ginzburg-Landau equation (2D CCQGLE) with cubic and quintic nonlinearities in which asymmetry between space-time variables is included. The 2D CCQGLE is solved by a…

Pattern Formation and Solitons · Physics 2015-10-01 Florent Bérard , Stefan C. Mancas

We review the current status of the problem of constructing classical field theory solutions describing stationary vortex rings in Minkowski space in 3+1 dimensions. We describe the known up to date solutions of this type, such as the…

High Energy Physics - Theory · Physics 2008-12-18 Eugen Radu , Mikhail S. Volkov

We present superconducting vortex solutions in the two-Higgs doublet model which has a gauged $U(1)$ Higgs-family symmetry. We write down an ansatz for the solution and study its basic properties, for the case of both global and gauged…

High Energy Physics - Phenomenology · Physics 2025-07-17 Richard Battye , Steven Cotterill

A new kind of classically stable static solitons called metastable quasi-topological defects (MQTD) and a systematic method to search for them is presented, with examples from realistic particle physics models. They are characterized by a…

High Energy Physics - Phenomenology · Physics 2016-09-06 T. N. Tomaras

We investigate a version of the abelian Higgs model with a non-standard kinetic term (K field theory) in 2+1 dimensions. The existence of vortex type solutions with compact support (topological compactons) is established by a combination of…

High Energy Physics - Theory · Physics 2009-03-27 C. Adam , P. Klimas , J. Sanchez-Guillen , A. Wereszczynski

2D dilaton (super-)gravity contains a special class of solutions with constant dilaton, a kink-like solution connecting two of them was recently found in a specific model that corresponds to the KK reduced 3D Chern-Simons term. Here we…

High Energy Physics - Theory · Physics 2007-05-23 L. Bergamin
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