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A general method to find an effective potential of interaction between far separated 2D and 3D solitons is elaborated, including the case of 2D vortex solitons. The method is based on explicit calculation of the overlapping term in the full…

patt-sol · Physics 2009-10-31 Boris A. Malomed

We study the formation and evolution of solitons supported by repulsive self-interactions inside extended halos, for scalar-field dark matter scenarios. We focus on the semiclassical regime where the quantum pressure is typically much…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-31 Raquel Galazo García , Philippe Brax , Patrick Valageas

In two-dimensional (2D) inviscid incompressible flow, low background vorticity distribution accelerates intense vortices (clumps) to merge each other and to array in the symmetric pattern which is called ``vortex crystals''; they are…

Statistical Mechanics · Physics 2009-11-10 Takeshi Yoshida , Mitsusada M. Sano

We present a theoretical study of vortices in arrays of photon condensates. Even when interactions are negligible, as is the case in current experiments, pumping and losses can lead to a finite vortex core size. While some properties of…

Quantum Gases · Physics 2020-11-25 V. N. Gladilin , M. Wouters

The origin of a vortex structure generated during the shock-plasma interaction is investigated. A two-dimensional model based on the shock refraction mechanism successfully unifies the vortex generation with major co-processes typical for…

Fluid Dynamics · Physics 2018-08-01 A. Markhotok

In this letter we investigate the effects of dipole-dipole interactions on the vortex lattices in fast rotating Bose-Einstein condensates. For single planar condensate, we show that the triangular lattice structure will be unfavorable when…

Other Condensed Matter · Physics 2009-11-11 Jian Zhang , Hui Zhai

Inter-site interactions play a crucial role in polar gases in optical lattices even in the absence of hopping. We show that due to these long-range interactions a destabilized stack of quasi-one dimensional Bose-Einstein condensates…

Quantum Gases · Physics 2012-03-22 Kazimierz Łakomy , Rejish Nath , Luis Santos

We investigate wave-vortex interaction emerging from an expanding compact vortex cluster in a two-dimensional Bose-Einstein condensate. We adapt techniques developed for compact gravitational objects to derive the characteristic modes of…

General Relativity and Quantum Cosmology · Physics 2022-07-07 August Geelmuyden , Sebastian Erne , Sam Patrick , Carlo Barenghi , Silke Weinfurtner

We establish the general equations of motion for the modes of a vortex lattice in a rapidly rotating Bose-Einstein condensate in three dimensions, taking into account the elastic energy of the lattice and the vortex line bending energy. As…

Soft Condensed Matter · Physics 2009-11-10 S. Andrew Gifford , Gordon Baym

We investigate the dynamics of vector solitons in a two-component Bose-Einstein condensates governed by the system of Gross-Pitaevskii equations. Using a gauge-transformation approach, we construct a four-soliton solution and analyze their…

Pattern Formation and Solitons · Physics 2025-07-29 Ramesh Kumar Vaduganathan , Rajadurai Vijayan , Boris A. Malomed

In this paper, we study the evolutions of a self-gravitating cloud of bosonic dark matter with finite angular momentum and self-interaction. This is achieved by using the sixth-order pseudospectral operator splitting method to solve the…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-22 Kuldeep J. Purohit , Pravin Kumar Natwariya , Jitesh R. Bhatt , Prashant K. Mehta

We present an analytical and numerical study of the dynamics and stability of exciton-polariton condensates described by the open-dissipative Gross-Pitaevskii equation, incorporating both binary and short-range three-body interactions.…

Quantum Gases · Physics 2026-03-27 P. Raman , R. Radha , Pankaj K. Mishra , Paulsamy Muruganandam

We have experimentally generated higher order optical vortices and scattered them through a ground glass plate that results in speckle formation. Intensity autocorrelation measurements of speckles show that their size decreases with…

Non-gravitational interactions between dark matter particles with strong scattering, but relatively small annihilation and dissipation, has been proposed to match various observables on cluster and group scales. In this paper, we present…

Cosmology and Nongalactic Astrophysics · Physics 2020-03-04 Arka Banerjee , Susmita Adhikari , Neal Dalal , Surhud More , Andrey Kravtsov

The properties of compact stars made of massive bosons with a repulsive selfinteraction mediated by vector mesons are studied within the mean-field approximation and general relativity. We demonstrate that there exists a scaling property…

Astrophysics · Physics 2010-04-21 Pratik Agnihotri , Juergen Schaffner-Bielich , Igor N. Mishustin

Results are presented from numerical simulations of the flat-space nonlinear Maxwell-Klein-Gordon-Dirac equations. The introduction of a boson-fermion interaction allows a scalar vortex to act as a harmonic trap that can confine massive…

High Energy Physics - Phenomenology · Physics 2025-12-10 Ethan P. Honda

Correspondence between frequency and energy spectra and biorthogonality conditions for the excitations of Bose-Einstein condensates described by Gross-Pitaevskii model have been derived selfconsistently revealing several novel aspects…

Soft Condensed Matter · Physics 2009-10-31 Dmitry V. Skryabin

Two-dimensional (2D) vector matter waves in the form of soliton-vortex and vortex-vortex pairs are investigated for the case of attractive intracomponent interaction in two-component Bose-Einstein condensates. Both attractive and repulsive…

Pattern Formation and Solitons · Physics 2015-05-13 A. I. Yakimenko , Yu. A. Zaliznyak , V. M. Lashkin

Numerical simulations of global three-dimensional (3D), self-gravitating discs with a gap opened by an embedded planet are presented. The simulations are customised to examine planetary gap stability. Previous results, obtained by Lin &…

Earth and Planetary Astrophysics · Physics 2015-06-05 Min-Kai Lin

The properties of vortices in superconducting thin films are revisited. The interaction between two Pearl vortices in an infinite film is approximated at all distances by a simple expression. The interaction of a vortex with a regular…

Superconductivity · Physics 2015-05-13 Ernst Helmut Brandt