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Within the context of ultralight BEC dark matter, we analyze the head-on encounters of two structures. These structures are made of a BEC component, which is a ground state equilibrium solution of the Gross-Pitaevskii-Poisson system,…

Astrophysics of Galaxies · Physics 2016-06-01 F. S. Guzman , J. A Gonzalez , J. P. Cruz

In this work we study some features of head-on mergers of equilibrium solutions of the Gross-Pitaevskii-Poisson system that rules the dynamics of the ultralight bosonic dark matter model. The importance of equilibrium solutions is that they…

Cosmology and Nongalactic Astrophysics · Physics 2019-03-13 Ana Avilez-Lopez , F. S. Guzmán

Structure formation simulations of ultralight bosonic dark matter, ruled by the Gross-Pitaevskii-Poisson (GPP) system of equations, show that dark matter clumps to form structures with density profiles consisting of a core surrounded by a…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-17 F. S. Guzman

The cusp-core problem remains a challenge to the $\Lambda$CDM model, since dwarf galaxies often exhibit flat central density cores rather than the steep cusps ($\rho \propto r^{-1}$) predicted by collisionless $N$-body simulations. We model…

Astrophysics of Galaxies · Physics 2026-05-29 Saroj Khanal , Sanjay Kumar Sah , Kiran Khanal , Sapana Khanal

In order to explore nonlinear effects on the distribution of matter during collisions within the Bose-Einstein condensate (BEC) dark matter model driven by the Schr\"odinger-Poisson system of equations, we study the head-on collision of…

Cosmology and Nongalactic Astrophysics · Physics 2011-05-19 J. A. Gonzalez , F. S. Guzman

Recently, the experimental realization of a Kapitza potential in a Bose-Einstein Condensate (BEC) has been reported for the first time in literature, motivating further theoretical investigations of such system. At the same time, in the…

Astrophysics of Galaxies · Physics 2026-01-19 Itauany do Nascimento Barroso , Hermano Velten

Bose-Einstein-condensed dark matter (BEC-DM), also called scalar field dark matter (SFDM), has become a popular alternative to the standard, collisionless cold dark matter (CDM) model, due to its long-held potential to resolve the…

Astrophysics of Galaxies · Physics 2023-05-29 Tanja Rindler-Daller

New efficient and accurate numerical methods are proposed to compute ground states and dynamics of dipolar Bose-Einstein condensates (BECs) described by a three-dimensional (3D) Gross-Pitaevskii equation (GPE) with a dipolar interaction…

Quantum Gases · Physics 2021-10-26 Weizhua Bao , Yongyong Cai , Hanquan Wang

We develop a model of Bose-Einstein condensate dark matter halos with a solitonic core and an isothermal atmosphere based on a generalized Gross-Pitaevskii-Poisson equation [P.H. Chavanis, Eur. Phys. J. Plus 132, 248 (2017)]. This equation…

General Relativity and Quantum Cosmology · Physics 2019-11-06 Pierre-Henri Chavanis

We study binary mergers of ultralight bosonic dark matter cores by solving the Gross-Pitaevskii-Poisson system of equations. The analysis centers on the dynamics of the relaxation process and the behavior of the configuration resulting from…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-06 F. S. Guzman , J. A. Gonzalez , I. Alvarez-Rios

We show that the dark soliton of the Gross-Pitaevskii equation (GPE) that describes the Bose-Einstein condensate (BEC) density of a system of weakly repulsive bosons, also describes that of a system of strongly repulsive hard core bosons at…

Quantum Physics · Physics 2015-05-19 Indubala I Satija , Radha Balakrishnan

The collision of two equilibrium ground state solutions of the Schr\"odinger-Poisson (SP) system, in orthogonal states, is proposed as a formation mechanism of mixed state solutions of the SP system with spherical and first dipolar…

General Relativity and Quantum Cosmology · Physics 2022-07-01 Francisco S. Guzman

Self-gravitating Bose-Einstein condensates (BEC) have been proposed in various astrophysical contexts, including Bose-stars and BEC dark matter halos. These systems are described by a combination of the Gross-Pitaevskii and Poisson…

General Relativity and Quantum Cosmology · Physics 2016-08-16 Viktor T. Toth

The phases of a Bose-Einstein condensate (BEC) with light-induced spin-orbit coupling (SOC) are studied within the mean-field approximation. The mixed BEC phase, in which the system condenses in a superposition of two plane wave states, is…

Quantum Gases · Physics 2015-06-16 Qin-Qin Lü , Daniel E. Sheehy

We study analytically and asymptotically as well as numerically ground states and dynamics of two-component spin-orbit-coupled Bose-Einstein condensates (BECs) modeled by the coupled Gross-Pitaevskii equations (CGPEs). In fact, due to the…

Mathematical Physics · Physics 2015-04-14 Weizhu Bao , Yongyong Cai

We analyze the ground state of a Bose-Einstein condensate in the presence of higher-order interaction (HOI), modeled by a modified Gross-Pitaevskii equation (MGPE). In fact, due to the appearance of HOI, the ground state structures become…

Mathematical Physics · Physics 2021-10-26 Weizhu Bao , Yongyong Cai , Xinran Ruan

A key feature of ultra-light dark matter composed by bosons is the formation of superfluid Bose-Einstein condensate (BEC) structures on galactic scales. We study collisions of BEC solitonic and vortex structures in the framework of the…

Pattern Formation and Solitons · Physics 2023-07-19 Y. O. Nikolaieva , Y. M. Bidasyuk , K. Korshynska , E. V. Gorbar , Junji Jia , A. I. Yakimenko

We explore theoretically how to tune the dynamics of a quasi one-dimensional harmonically trapped Bose-Einstein condensate (BEC) due to an additional red- and blue-detuned Hermite-Gaussian dimple trap (HGdT). To this end we study a BEC in a…

Quantum Gases · Physics 2016-02-10 Javed Akram , Axel Pelster

The achievement of Bose-Einstein condensation (BEC) in ultracold vapors of alkali atoms has given enormous impulse to the theoretical and experimental study of dilute atomic gases in condensed quantum states inside magnetic traps and…

Mathematical Physics · Physics 2017-11-21 Weizhu Bao

We illustrate the effect of boundary conditions on the evolution of structure in Fuzzy Dark Matter. Scenarios explored include the evolution of single, ground-state equilibrium solutions of the Schr\"odinger-Poisson system, the relaxation…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-26 Iván Alvarez-Ríos , Francisco S. Guzmán , Paul R. Shapiro
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