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We consider the global cosmological evolution and the evolution of the density contrast in the Bose-Einstein condensate dark matter model, in the framework of a Post-Newtonian cosmological approach. In the Bose-Einstein model, dark matter…

General Relativity and Quantum Cosmology · Physics 2015-05-27 T. Harko

Gross-Pitaevskii equation for Bose-Einstein condensate confined in elongated cigar-shaped trap is reduced to an effective system of nonlinear equations depending on only one space coordinate along the trap axis. The radial distribution of…

Soft Condensed Matter · Physics 2007-05-23 A. M. Kamchatnov , V. S. Shchesnovich

We study Bose-Einstein condensation phenomenon in a two-dimensional (2D) system of bosons subjected to an harmonic oscillator type confining potential. The interaction among the 2D bosons is described by a delta-function in configuration…

Statistical Mechanics · Physics 2009-10-31 M. Bayindir , B. Tanatar

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

In this Note we investigate Bose-Einstein condensation in interacting quantum many-particle systems on graphs. We extend previous results obtained for particles on an interval and show that even arbitrarily small repulsive two-particle…

Mathematical Physics · Physics 2018-01-04 Jens Bolte , Joachim Kerner

Though very popular, Bose-Einstein condensate models of dark matter have some difficulties. Here we propose the so-called $\mu$-Bose gas model ($\mu$-BGM) as a model of dark matter, able to treat weak points. Within $\mu$-BGM, the…

General Relativity and Quantum Cosmology · Physics 2018-06-04 A. M. Gavrilik , I. I. Kachurik , M. V. Khelashvili , A. V. Nazarenko

In this paper, we study the viscous $f(T, B)$ gravity model as a source of dark energy, and the Extended Bose-Einstein Condensate (EBEC) as a source of dark matter, in a flat-FRW metric. In the presence of bulk viscosity, we obtain…

General Relativity and Quantum Cosmology · Physics 2023-01-13 E. Mahichi , Alireza Amani

We investigate the effects of spatial curvature for an atomic Bose-Einstein condensate confined in an elliptical waveguide. The system is well described by an effective 1D Gross-Pitaevskii equation with a quantum-curvature potential, which…

Quantum Gases · Physics 2022-03-23 L. Salasnich

Light with a chemical potential and no mass is shown to possess a general phase-transition curve to Bose-Einstein condensation. This limiting density and temperature range is found by the diverging in-medium potential range of effective…

Quantum Gases · Physics 2019-05-22 K. Morawetz

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

We study exactly soluble system of trapped bosonic particles interacting by a model harmonic forces. The model allows for detailed examination of the order parameter (condensate wave function) as well as concept of the off-diagonal and…

Soft Condensed Matter · Physics 2009-10-31 Mariusz Gajda , Magdalena A. Zaluska-Kotur , Jan Mostowski

In this article, we attempt to explore the dark sector of the universe i.e. dark matter and dark energy, where the dark energy components are related to the modified $f(Q)$ Lagrangian, particularly a power law function $f(Q)= \gamma…

General Relativity and Quantum Cosmology · Physics 2024-05-24 Aaqid Bhat , Raja Solanki , P. K. Sahoo

Rotation curves of spiral galaxies are fundamental tools in the study of dark matter. Here we test the Bose-Einstein condensate (BEC) dark matter model against rotation curve data of High and Low Surface Brightness (HSB and LSB) galaxies,…

Cosmology and Nongalactic Astrophysics · Physics 2014-12-23 Marek Dwornik , Zoltán Keresztes , László Á. Gergely

These notes present simple theoretical approaches to study Bose-Einstein condensation in trapped atomic gases and their comparison to recent experimental results : - the ideal Bose gas model - Fermi pseudopotential to model the atomic…

Condensed Matter · Physics 2022-03-23 Yvan Castin

A self-consistent field model for a mixture of Bose and Fermi particles is formulated. There is explored in detail the case of a delta-like interaction, for which the thermodynamic functions are obtained, and Bose-Einstein condensation of…

Quantum Gases · Physics 2017-10-31 Yu. M. Poluektov , A. A. Soroka

We assume dark matter to be a cosmological self-gravitating Bose-Einstein condensate of non-relativistic ultralight scalar particles with competing gravitational and repulsive contact interactions and investigate the observational…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-19 V. Delgado , A. Muñoz Mateo

We consider a two-component Bose-Einstein condensate with and without synthetic "spin-orbit" interactions in two dimensions. Density- and phase-fluctuations of the condensate are included, allowing us to study the impact of thermal…

Quantum Gases · Physics 2016-08-22 Peder N. Galteland , Asle Sudbø

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

In this paper, we study the $F(R, G)$ gravity model with an interacting model by flat-FRW metric in a viscous fluid. We consider that the universe dominates with components of dark matter and dark energy. This means that the dark matter…

General Relativity and Quantum Cosmology · Physics 2023-03-22 E. Mahichi , Alireza Amani , M. A. Ramzanpour

We study the following nonlocal mixed order Gross-Pitaevskii equation $$i\,\partial_t \psi=-\frac{1}{2}\,\Delta \psi+V_{ext}\,\psi+\lambda_1\,|\psi|^2\,\psi+\lambda_2\,(K*|\psi|^2)\,\psi+\lambda_3\,|\psi|^{p-2}\,\psi,$$ where $K$ is the…

Analysis of PDEs · Mathematics 2019-03-26 Yongming Luo , Athanasios Stylianou