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We examine the possibility of Bose-Einstein condensation in one-dimensional interacting Bose gas subjected to confining potentials of the form $V_{\rm ext}(x)=V_0(|x|/a)^\gamma$, in which $\gamma < 2$, by solving the Gross-Pitaevskii…

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

The Jeans criterion for the minimum self-gravitational condensation scale is extended to include the possibility of condensation on non-acoustic density nuclei at Schwarz scales, where structure formation begins in the plasma epoch at…

Astrophysics · Physics 2007-05-23 Carl H. Gibson

Utilizing the recently established connection between Palatini-like gravity and linear Generalized Uncertainty Principle (GUP) models, we have formulated an approach that facilitates the examination of Bose gases. Our primary focus is on…

General Relativity and Quantum Cosmology · Physics 2024-06-14 Aneta Wojnar

We study the phenomenology associated to non-minimally coupled dark matter. In particular, we consider the model where the non-minimal coupling arises from the formation of relativistic Bose-Einstein condensates in high density regions of…

General Relativity and Quantum Cosmology · Physics 2020-08-05 Dimitar Ivanov , Stefano Liberati

In this paper we further elaborate on the Bose-Einstein condensate (BEC) dark matter model extended in our preceding work [Phys. Rev. D 102, 083510 (2020)] by the inclusion of 6th order (or three-particle) repulsive self-interaction term.…

Astrophysics of Galaxies · Physics 2021-10-01 A. M. Gavrilik , A. V. Nazarenko

The phase diagrams of ultralight dark matter (DM), modeled as a self-gravitating Bose-Einstein condensate with axionlike interaction, are studied. We classify stable, metastable, and unstable DM states over a wide range of condensate wave…

Astrophysics of Galaxies · Physics 2025-10-21 A. V. Nazarenko

The axion is a motivated cold dark matter candidate, which it would be interesting to distinguish from weakly interacting massive particles. Sikivie has suggested that axions could behave differently during non-linear galaxy evolution, if…

High Energy Physics - Phenomenology · Physics 2015-06-16 Sacha Davidson , Martin Elmer

We analyze Bose-Einstein condensates on three types of spherically symmetric and static charged black-hole spacetimes: The Reissner-Nordstr\"om spacetime, Hoffmann's Born-Infeld black-hole spacetime, and the regular Ay\'on-Beato-Garc\'ia…

General Relativity and Quantum Cosmology · Physics 2018-02-26 Elías Castellanos , Juan Carlos Degollado , Claus Lämmerzahl , Alfredo Macías , Volker Perlick

We consider the dynamics of $N$ interacting bosons initially forming a Bose-Einstein condensate. Due to an external trapping potential, the bosons are strongly confined in two dimensions, where the transverse extension of the trap is of…

Mathematical Physics · Physics 2019-12-09 Lea Boßmann , Stefan Teufel

After deducing the density profiles and gravitational potential functions of eight galaxies from the rotation velocity data from THINGS, we find that the density decreases exponentially with the potential in substantial regions of the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Joshua Davidson , Sanjoy K. Sarker , Allen Stern

We study the expansion of an interacting atomic system at zero temperature, following its release from an isotropic three-dimensional harmonic trap and calculate the time dependence of its density and momentum distribution, with special…

Quantum Gases · Physics 2016-12-28 Chunlei Qu , Lev P. Pitaevskii , Sandro Stringari

We assume that the galactical dark matter halo, considered composed of an axionlike particles Bose-Einstein condensate \cite{pir12}, can present topological defects, namely domain walls, arising as the dark soliton solution for the…

General Relativity and Quantum Cosmology · Physics 2013-05-23 J. C. C. de Souza , M. O. C. Pires

This article surveys a number of theoretical problems and open questions in the field of two-dimensional dilute Bose gases with weak repulsive interactions. In contrast to three dimensions, in two dimensions the formation of long-range…

Other Condensed Matter · Physics 2009-11-11 Anna Posazhennikova

We develop a theory of non-relativistic bosons in two spatial dimensions with a weak short range attractive interaction. In the limit as the range of the interaction becomes small, there is an ultra-violet divergence in the problem. We…

High Energy Physics - Theory · Physics 2007-05-23 S. G. Rajeev

We investigate the quantum dynamics of a harmonically trapped particle (e.g. an ion) that is immersed in a Bose--Einstein condensate. The ultracold environment acts as a refrigerator, and thus, the influence on the motion of the ion is…

Quantum Physics · Physics 2017-07-19 Paula Ostmann , Walter T. Strunz

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

We study Faraday and resonant waves in two-component quasi-one-dimensional (cigar-shaped) collisionally inhomogeneous Bose-Einstein condensates subject to periodic modulation of the radial confinement. We show by means of extensive…

In three dimensions, non-interacting bosons undergo Bose-Einstein condensation at a critical temperature, $T_{c}$, which is slightly shifted by $\Delta T_{\mathrm{c}}$, if the particles interact. We calculate the excitation spectrum of…

Quantum Gases · Physics 2011-10-19 Samuel C. Cormack , Dániel Schumayer , David A. W. Hutchinson

In this paper we study a mean field model for the dynamics of an interacting Bose-Einstein condensate in two dimensional pseudo-relativistic materials. This model is relatively simple, but contains stable solutions called oscillons which…

Pattern Formation and Solitons · Physics 2020-09-23 Leone Di Mauro Villari , Ian Galbraith , Fabio Biancalana

We prove the equivalence between the hard-sphere Bose gas and a system with momentum-dependent zero-range interactions in one spatial dimension, which we call extended hard-sphere Bose gas. The two-body interaction in the latter model has…

Quantum Gases · Physics 2012-04-16 Manuel Valiente