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We present the construction of stationary solutions of Bose-Einstein condensate dark matter (BECDM) around a point-like gravitational source representing a black hole. The problem is formulated for general axisymmetric configurations, and…

Astrophysics of Galaxies · Physics 2026-05-29 Ivan Alvarez-Rios , Francisco S. Guzman

Stationary solitary waves are studied in an array of $M$ linearly-coupled one-dimensional Bose-Einstein condensates (BECs) by means of the Gross-Pitaevskii equation. Solitary wave solutions with the character of overlapping dark solitons,…

Quantum Gases · Physics 2018-11-07 Christian Baals , Herwig Ott , Joachim Brand , Antonio Muñoz Mateo

The stability of dark solitons generated by a supersonic flow of a Bose-Einstein condensate past a concave corner (or a wedge) is studied. It is shown that solitons in the dispersive shock wave generated at the initial moment of time…

Pattern Formation and Solitons · Physics 2010-10-14 A. M. Kamchatnov , S. V. Korneev

Dynamics and stability of solitons in two-dimensional (2D) Bose-Einstein condensates (BEC), with low-dimensional (1D) conservative plus dissipative nonlinear optical lattices are investigated. In the case of focusing media (with attractive…

Other Condensed Matter · Physics 2009-11-13 F. Kh. Abdullaev , A. Gammal , H. L. F. da Luz , Lauro Tomio

Solitons are among the most distinguishing fundamental excitations in a wide range of non-linear systems such as water in narrow channels, high speed optical communication, molecular biology and astrophysics. Stabilized by a balance between…

Other Condensed Matter · Physics 2009-11-13 C. Becker , S. Stellmer , P. Soltan-Panahi , S. Dörscher , M. Baumert , E. -M. Richter , J. Kronjäger , K. Bongs , K. Sengstock

The possibility that dark matter, whose existence is inferred from the study of the galactic rotation curves, and from the mass deficit in galaxy clusters, can be in a form of a Bose-Einstein Condensate, has been extensively investigated…

General Relativity and Quantum Cosmology · Physics 2015-09-01 Tiberiu Harko , Francisco S. N. Lobo

The study of structures involving vortices in one component and bright solitary waves in another has a time-honored history in two-component atomic Bose-Einstein condensates. In the present work, we revisit this topic extending…

Pattern Formation and Solitons · Physics 2025-03-24 J. D'Ambroise , W. Wang , C. Ticknor , R. Carretero-González , P. G. Kevrekidis

There has been considerable interest in the last several years in support of the idea that galaxies and clusters could have highly condensed cores of dark matter (DM) within their central regions. In particular, it has been suggested that…

Astrophysics of Galaxies · Physics 2018-06-13 Wen-Jian Chung , Lorne Nelson

The possibility that dark matter may be in the form of a Bose-Einstein Condensate (BEC) has been extensively explored at galactic scale. In particular, good fits for the galactic rotations curves have been obtained, and upper limits for the…

General Relativity and Quantum Cosmology · Physics 2015-11-17 Tiberiu Harko , Pengxiang Liang , Shi-Dong Liang , Gabriela Mocanu

We study the stability, form and interaction of single and multiple dark solitons in quasi-one-dimensional dipolar Bose-Einstein condensates. The solitons are found numerically as stationary solutions in the moving frame of a non-local…

Quantum Gases · Physics 2016-06-28 M. J. Edmonds , T. Bland , D. H. J. O'Dell , N. G. Parker

The current state of research on vortices carried by quantum droplets (QDs) has predicted their existence, in the stable form, in two- and three-dimensional free-space binary Bose-Einstein condensates (BECs) and dipolar BECs. These…

Quantum Gases · Physics 2024-09-17 Guilong Li , Zibin Zhao , Bin Liu , Yongyao Li , Yaroslav V. Kartashov , Boris A. Malomed

If dark matter is composed of massive bosons, a Bose-Einstein Condensation process must have occurred during the cosmological evolution. Therefore galactic dark matter may be in a form of a condensate, characterized by a strong…

General Relativity and Quantum Cosmology · Physics 2018-07-24 Xiaoyue Zhang , Man Ho Chan , Tiberiu Harko , Shi-Dong Liang , Chun Sing Leung

Our results demonstrate that vortex lines in Bose-Einstein Condensate Dark Matter (BECDM) can act as gravitational seeds that induce the condensation of baryonic matter, leading to localized gas accumulation even in the absence of imposed…

Astrophysics of Galaxies · Physics 2025-07-04 Iván Álvarez-Rios , Carlos Tena-Contreras , Francisco S. Guzmán

Stability of dark solitons generated by a supersonic flow of Bose-Einstein condensate past an obstacle is investigated. It is shown that in the reference frame attached to the obstacle a transition occurs at some critical value of the flow…

Other Condensed Matter · Physics 2009-11-13 A. M. Kamchatnov , L. P. Pitaevskii

We consider the propagation of a dark soliton in a quasi 1D Bose-Einstein condensate in presence of a random potential. This configuration involves nonlinear effects and disorder, and we argue that, contrarily to the study of stationary…

Other Condensed Matter · Physics 2009-11-11 N. Bilas , N. Pavloff

We study the statics and dynamics of anisotropic, stable, bright and dark-in-bright dipolar quasi-two-dimensional Bose-Einstein condensate (BEC) solitons on a one-dimensional (1D) optical-lattice (OL) potential. These solitons mobile in a…

Quantum Gases · Physics 2019-08-22 S K Adhikari

In the present work, we revisit two-component Bose-Einstein condensates in their fully three-dimensional (3d) form. Motivated by earlier studies of dark-bright solitons in the 1d case, we explore the stability of these structures in their…

Quantum Gases · Physics 2017-03-08 Wenlong Wang , P. G. Kevrekidis

Dark solitons have been observed in optical systems (optical fibres, dielectric guides and bulk media), and, more recently, in harmonically confined atomic Bose-Einstein condensates. This paper presents an overview of some of the common…

Other Condensed Matter · Physics 2009-11-10 N. P. Proukakis , N. G. Parker , D. J. Frantzeskakis , C. S. Adams

The existence and dynamics of stable quantized vortices is an important subject of quantum many-body physics. Spin-orbital-angular-momentum coupling (SOAMC), a special type of spin-orbit coupling, has been experimentally achieved to create…

Quantum Gases · Physics 2024-05-07 Xin-Xin Yang , Wei Zhang , Zhen-Xia Niu

We observe solitonic vortices in an atomic Bose-Einstein condensate after free expansion. Clear signatures of the nature of such defects are the twisted planar density depletion around the vortex line, observed in absorption images, and the…