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We study the formation and the dynamics of vortex lines in rotating scalar dark matter halos, focusing on models with quartic repulsive self-interactions. In the nonrelativistic regime, vortex lines and their lattices arise from the…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-31 Ph. Brax , P. Valageas

We analyze numerically the formation and the subsequent dynamics of two-dimensional matter wave dark solitons in a Thomas-Fermi rubidium condensate using various techniques. An initially imprinted sharp phase gradient leads to the dynamical…

Quantum Gases · Physics 2017-04-19 Gunjan Verma , Umakant D. Rapol , Rejish Nath

In 2015 Berezhiani & Khoury proposed a Superfluid Dark Matter (SFDM) model where dark matter condenses and forms a superfluid on galactic scales. In the superfluid state phonons interact with baryons, resulting in a behavior similar to that…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-01 Renate Mauland , Øystein Elgarøy

In a galactic halo like the Milky Way, bosonic dark matter particles lighter than about $30$ eV have a de Broglie wavelength larger than the average inter-particle separation and are therefore well described as a set of classical waves.…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-20 Lam Hui , Austin Joyce , Michael J. Landry , Xinyu Li

Optical vortices are phase singularities nested in electromagnetic waves that constitute a fascinating source of phenomena in the physics of light and display deep similarities to their close relatives, quantized vortices in superfluids and…

Pattern Formation and Solitons · Physics 2007-05-23 Anton S. Desyatnikov , Lluis Torner , Yuri S. Kivshar

We study the formation of solitons inside scalar-field dark matter halos with a non-polynomial self-interaction potential. We consider a self-interaction potential that is quartic in the scalar field in the low-density regime but saturates…

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

We study theoretically dynamical phases of vortices in superconducting films with arrays of obstacles. By performing a series of molecular dynamics simulations and analytical calculations, we demonstrate the existence of a phase of…

Superconductivity · Physics 2011-07-11 Rogério M. da Silva , Clécio C. de Souza Silva

If dark matter in the galactic halo is composed of bosons that form a Bose-Einstein condensate then it is likely that the rotation of the halo will lead to the nucleation of vortices. After a review of the Gross-Pitaevskii equation, the…

High Energy Physics - Phenomenology · Physics 2014-11-20 Ben Kain , Hong Y. Ling

We revisit the topic of the existence and azimuthal modulational stability of solitary vortices (alias vortex solitons) in the two-dimensional (2D) cubic-quintic nonlinear Schr{\"o}dinger equation. We develop a semi-analytical approach,…

Pattern Formation and Solitons · Physics 2012-05-11 R. M. Caplan , R. Carretero-Gonzalez , P. G. Kevrekidis , B. A. Malomed

A recent analysis has revealed singular but physically relevant 2D localized vortex states with density ~ 1/r^{4/3} at r --> 0 and a convergent total norm, which are maintained by the interplay of the potential of the attraction to the…

Quantum Gases · Physics 2021-07-07 Zhaopin Chen , Boris A. Malomed

Ultralight dark matter simulations predict condensates with short-range correlation, known as solitons or boson stars, at the centers of dark matter halos. This paper investigates the formation and collapse of dark matter solitons…

High Energy Physics - Phenomenology · Physics 2025-07-21 Jiajun Chen , Hong-Yi Zhang

We study the dynamics of fundamental and vortex solitons in the framework of the nonlinear Schr\"{o}dinger equation with the spatial dimension $D\geqslant 2$ with a multiplicative random term depending on the time and space coordinates. To…

Pattern Formation and Solitons · Physics 2024-06-27 Volodymyr M. Lashkin

We introduce a two-dimensional (2D) discrete nonlinear Schr\"{o}dinger (DNLS) equation with self-attractive cubic nonlinearity in a rotating reference frame. The model applies to a Bose-Einstein condensate stirred by a rotating strong…

Pattern Formation and Solitons · Physics 2009-11-13 J. Cuevas , B. A. Malomed , P. G. Kevrekidis

The fundamental mode of rotation in quantum fluids is given by a vortex, whose quantized value yields the orbital angular momentum (OAM) per particle. If the vortex is displaced (off-centered) from the reference point for rotation, the…

We consider one- and two-dimensional (1D and 2D) optical or matter-wave media with a maximum of the local self-repulsion strength at the center, and a minimum at periphery. If the central area is broad enough, it supports ground states in…

Pattern Formation and Solitons · Physics 2021-11-02 Liangwei Zeng , Boris A. Malomed , Dumitru Mihalache , Yi Cai , Xiaowei Lu , Qifan Zhu , Jingzhen Li

In this review, we discuss various properties of topological solitons in dense QCD matter, with a particular emphasis on the CFL phase exhibiting superfluidity and superconductivity, and their phenomenological implications in terms of the…

High Energy Physics - Phenomenology · Physics 2014-02-04 Minoru Eto , Yuji Hirono , Muneto Nitta , Shigehiro Yasui

The system of Bose-Fermi superfluid mixture offers a playground to explore rich macroscopic quantum phenomena. In a recent experiment of Yao {\it et al.} [Phys. Rev. Lett. {\bf 117}, 145301 (2016)], $^{41}$K-$^{6}$Li superfluid mixture is…

Quantum Gases · Physics 2023-09-19 Wen Wen , Lu Zhou , Zhenjun Zhang , Hui-jun Li

We study the dynamics of $N$ point vortices on a rotating sphere. The Hamiltonian system becomes infinite dimensional due to the non-uniform background vorticity coming from the Coriolis force. We prove that a relative equilibrium formed of…

Dynamical Systems · Mathematics 2007-05-23 Frederic Laurent-Polz

The rotation of a quantum liquid induces vortices to carry angular momentum. When the system is composed of multiple components that are distinguishable from each other, vortex cores in one component may be filled by particles of the other…

Mesoscale and Nanoscale Physics · Physics 2008-12-18 H. Saarikoski , A. Harju , J. Christensson , S. Bargi , M. Manninen , S. M. Reimann

We demonstrate the control of vortical motion of neutral classical particles in driven superlattices. Our superlattice consists of a superposition of individual lattices whose potential depths are modulated periodically in time but with…

Chaotic Dynamics · Physics 2020-09-30 Aritra K. Mukhopadhyay , Peter Schmelcher
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