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A novel Bogomol'nyi-Prasad-Sommerfield (BPS) bound for the Gross-Pitaevskii equations in two spatial dimensions is presented. The energy can be bounded from below in terms of the combination of two boundary terms, one related to the…

Quantum Gases · Physics 2025-07-01 Fabrizio Canfora , Pablo Pais

The abelian Higgs model on the noncommutative plane admits both BPS vortices and non-BPS fluxons. After reviewing the properties of these solitons, we discuss several new aspects of the former. We solve the Bogomoln'yi equations…

High Energy Physics - Theory · Physics 2009-11-07 David Tong

It is shown that in a magnetic field the vortices in superfluid electron-hole systems carry a real electrical charge. The charge value depends on the relation between the magnetic length and the Bohr radiuses of electrons and holes. In…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 S. I. Shevchenko

In-situ observations in the Earth's and Saturn's magnetosheaths and in the solar wind reveal the presence of Alfv\'en vortices as intermittent structures in the range of scales from fluid lengths down to few ion lengths. The density and the…

Plasma Physics · Physics 2020-04-16 Dusan Jovanovic , Olga Alexandrova , Milan Maksimovic , Milivoj Belic

In this paper we first formulate a dually gauged harmonic map model, suggested from a product Abelian Higgs field theory arising in impurity-inspired field theories, and obtain a new BPS system of equations governing coexisting vortices and…

Mathematical Physics · Physics 2022-06-29 Xiaosen Han , Genggeng Huang , Yisong Yang

This work introduces a procedure to obtain vortex configurations described by first order equations in generalized Maxwell-Chern-Simons models without the inclusion of a neutral field. The results show that the novel methodology is capable…

High Energy Physics - Theory · Physics 2023-03-13 I. Andrade , D. Bazeia , M. A. Liao , M. A. Marques , R. Menezes

We show that a (3+1)-dimensional system composed of an open magnetic vortex and an electrical point charge exhibits the phenomenon of Fermi-Bose transmutation. In order to provide the physical realization of this system we focus on the…

High Energy Physics - Theory · Physics 2009-10-28 H. Fort , R. Gambini

We show that the ground state of a weakly charged two-dimensional electron-hole fluid in a strong magnetic field is a broken translation symmetry state with interpenetrating lattices of localized vortices and antivortices in the…

Mesoscale and Nanoscale Physics · Physics 2025-05-28 Bo Zou , Allan H. MacDonald

We investigate the presence of vortices in generalized Maxwell-Higgs models with a hidden sector. The model engenders $U(1)\times U(1)$ symmetry, in a manner that the sectors are coupled via the visible magnetic permeability depending only…

High Energy Physics - Theory · Physics 2019-05-09 D. Bazeia , L. Losano , M. A. Marques , R. Menezes

Among newly discovered M2, M5 objects in the Bagger-Lambert-Gustavsson theory, our interest is about half BPS vortices which are covariantly holomorphic curves in transverse coordinates. We restrict ourselves to the case where the global…

High Energy Physics - Theory · Physics 2009-02-20 Jongwook Kim , Bum-Hoon Lee

We consider a generalization of the abelian Higgs model with a Chern-Simons term by modifying two terms of the usual Lagrangian. We multiply a dielectric function with the Maxwell kinetic energy term and incorporate nonminimal interaction…

High Energy Physics - Theory · Physics 2009-10-22 Pijush K. Ghosh

In this work we present a theoretical framework that allows for the existence of coherent twinlike models in the context of self-dual Maxwell-Higgs theories. We verify the consistence of this framework by using it to develop some twinlike…

High Energy Physics - Theory · Physics 2012-02-08 D. Bazeia , E. da Hora , R. Menezes

Using group theory arguments and numerical simulations, we demonstrate the possibility of changing the vorticity or topological charge of an individual vortex by means of the action of a system possessing a discrete rotational symmetry of…

Pattern Formation and Solitons · Physics 2009-11-11 Albert Ferrando , Mario Zacares , Miguel-Angel Garcia-March , Juan A. Monsoriu

We investigate the existence of vortex configurations in two gauged-$CP(2)$ models extended via the inclusion of magnetic impurities. In particular, we consider both the Maxwell-$CP(2)$ and the Chern-Simons-$CP(2)$ enlarged scenarios,…

High Energy Physics - Theory · Physics 2022-07-27 V. Almeida , R. Casana , E. da Hora , S. Krusch

We describe the localization transition of superfluids on two-dimensional lattices into commensurate Mott insulators with average particle density p/q (p, q relatively prime integers) per lattice site. For bosons on the square lattice, we…

Strongly Correlated Electrons · Physics 2007-05-23 Leon Balents , Lorenz Bartosch , Anton Burkov , Subir Sachdev , K. Sengupta

The low energy dynamics of vortices in selfdual Abelian Higgs theory is of second order in vortex velocity and characterized by the moduli space metric. When Chern-Simons term with small coefficient is added to the theory, we show that a…

High Energy Physics - Theory · Physics 2009-11-07 Yoonbai Kim , Kimyeong Lee

We consider charged rotating BTZ black holes in noncommutative space by use of Chern-Simons theory formulation of $2+1$ dimensional gravity. The noncommutativity between the radial and the angular variables is introduced through the…

High Energy Physics - Theory · Physics 2018-04-18 Shoichi Kawamoto , Koichi Nagasaki , Wen-Yu Wen

We analyze the set of magnetic charges carried by smooth BPS monopoles in Yang-Mills-Higgs theory with arbitrary gauge group G spontaneously broken to a subgroup H. The charges are restricted by a generalized Dirac quantization condition…

High Energy Physics - Theory · Physics 2008-11-26 L. Kampmeijer , J. K. Slingerland , B. J. Schroers , F. A. Bais

We consider Maxwell-Chern-Simons models involving different non-minimal coupling terms to a non relativistic massive scalar and further coupled to an external uniform background charge. We study how these models can be constrained to…

Other Condensed Matter · Physics 2009-11-10 F. Chandelier , Y. Georgelin , M. Lassaut , T. Masson , J. C. Wallet

We study an inhomogeneous U(1) Chern-Simons Higgs model with a magnetic impurity in the BPS limit. The potential is sextic with both broken and unbroken phases, but its minimum varies spatially depending on the strength of the impurity.…

High Energy Physics - Theory · Physics 2025-03-13 Yoonbai Kim , O-Kab Kwon , Hanwool Song , Chanju Kim