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We consider the effects of an uncorrelated random potential on the properties of Bose-Einstein Condensate (BEC) dark matter halos, which acts as a source of disorder, and which is added as a new term in the Gross-Pitaevskii equation,…

General Relativity and Quantum Cosmology · Physics 2022-05-18 Tiberiu Harko , Eniko J. Madarassy

The dynamics of stability and collapse of a trapped atomic Bose-Einstein condensate (BEC) coupled to a molecular one is studied using the time-dependent Gross-Pitaevskii (GP) equation including a nonlinear interaction term which can…

Soft Condensed Matter · Physics 2009-11-07 Sadhan K. Adhikari

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

Ultra-light bosonic dark matter (ULDM) is an interesting and promising dark matter candidate. While the wave-like nature of ULDM has been widely studied in the literature, we explore another distinctive feature of ULDM as Bose-Einstein…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-04 Rongzi Zhou , Dylan M. H. Leung , Jason S. C. Poon , Ming-Chung Chu

We provide an approximate analytical expression of the mass-radius relation of a Newtonian self-gravitating Bose-Einstein condensate (BEC) with short-range interactions described by the Gross-Pitaevskii-Poisson system. These equations model…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-19 Pierre-Henri Chavanis

Because of their superfluid properties, some compact astrophysical objects such as neutron stars may contain a significant part of their matter in the form of a Bose-Einstein condensate (BEC). We consider a partially-relativistic model of…

General Relativity and Quantum Cosmology · Physics 2016-07-12 Pierre-Henri Chavanis

In this paper, we mainly review recent results on mathematical theory and numerical methods for Bose-Einstein condensation (BEC), based on the Gross-Pitaevskii equation (GPE). Starting from the simplest case with one-component BEC of the…

Quantum Gases · Physics 2017-01-10 Weizhu Bao , Yongyong Cai

We do not know 96% of the total matter in the universe at present. In this paper, a cosmological model is proposed in which Dark Energy (DE) is identified as Bose-Einstein Condensation (BEC) of some boson field. Global cosmic acceleration…

Astrophysics · Physics 2009-11-11 Takeshi Fukuyama , Masahiro Morikawa

We study the effect of temperature on the global properties of static and slowly rotating self-gravitating Bose-Einstein condensate (BEC) stars within general relativity. We employ a recently developed temperature dependent BEC equation of…

General Relativity and Quantum Cosmology · Physics 2023-12-05 P. S. Aswathi , P. S. Keerthi , O. P. Jyothilakshmi , Lakshmi J. Naik , V. Sreekanth

As an atomic Bose Einstein condensate (BEC) is coupled to a source of uncondensed atoms at the same temperature and to a sink (extraction towards an atom laser) the idealized description in terms of a Gross-Pitaevsky equation (GP) no longer…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 F. T. Arecchi , J. Bragard , L. M. Castellano

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

One of the leading candidates for dark matter is axion or axion-like particle in a form of Bose-Einstein condensate (BEC). In this paper, we present an analysis of 17 high-resolution galactic rotation curves from "The H{\footnotesize I}…

Astrophysics of Galaxies · Physics 2014-08-04 Ming-Hua Li , Zhi-Bing Li

We assume that dark matter is composed of scalar particles that form a Bose-Einstein condensate (BEC) at some point during the cosmic evolution. Afterwards, cold dark matter is in the form of a condensate and behaves slightly different from…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Hermano Velten , Etienne Wamba

We consider the possible existence of gravitationally bound general relativistic strings consisting of Bose-Einstein condensate (BEC) matter which is described, in the Newtonian limit, by the zero temperature time-dependent nonlinear…

General Relativity and Quantum Cosmology · Physics 2015-09-29 Tiberiu Harko , Matthew J. Lake

If the dark matter in the universe is a self-gravitating Bose-Einstein condensate (BEC) with quartic self-interaction described by the Gross-Pitaevskii-Poisson system, the adhesion model, the Burgers equation and the cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-29 Pierre-Henri Chavanis

We develop our novel model of cosmology based on the Bose-Einstein condensation. This model unifies the Dark Energy and the Dark Matter, and predicts multiple collapse of condensation, followed by the final acceleration regime of cosmic…

Astrophysics · Physics 2009-06-23 Takeshi Fukuyama , Masahiro Morikawa , Takayuki Tatekawa

By improving the Bose-Einstein condensate model of dark matter through the repulsive three-particle interaction to better reproduce observables such as rotation curves, both different thermodynamic phases and few-particle correlations are…

Astrophysics of Galaxies · Physics 2022-11-22 A. M. Gavrilik , A. V. Nazarenko

Bose-Einstein condensation (BEC) of Feshbach molecules in a homogeneous Bose gas is studied at finite temperatures in a single-channel mean-field approach where the Hartree-Fock energy and pairing gap are determined self-consistently. In…

Quantum Gases · Physics 2010-02-21 Zeng-Qiang Yu , Lan Yin

Based on the generalized uncertainty principle (GUP), the critical temperature and the Helmholtz free energy of Bose-Einstein condensation (BEC) in the relativistic ideal Bose gas are investigated. At the non-relativistic limit and the…

High Energy Physics - Theory · Physics 2015-01-16 Xiuming Zhang , Chi Tian

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