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We consider the dynamics of a gas of free bosons within a semi-classical Fokker-Planck equation for which we give a physical justification. In this context, we find a striking similarity between the Bose-Einstein condensation in the…

Statistical Mechanics · Physics 2009-11-11 Julien Sopik , Clement Sire , Pierre-Henri Chavanis

It is shown that Bose-Einstein condensation occurs for an ideal gas in two spatial dimensions in the presence of one impurity which is described quantum mechanically in terms of a point-like vortex and a contact interaction. This model is…

Statistical Mechanics · Physics 2009-10-31 Paola Giacconi , Fabio Maltoni , Roberto Soldati

We explored the dynamics of how a Bose-Einstein condensate collapses and subsequently explodes when the balance of forces governing the size and shape of the condensate is suddenly altered. A condensate's equilibrium size and shape is…

We consider the self-evolution of strongly non-equilibrium interacting Bose gas. Due to the mere fact of large (as compared to unity) occupation numbers in the initial state the problem is directly reduced to the question of temporal…

Condensed Matter · Physics 2009-10-30 Yu. Kagan , B. V. Svistunov

The substructures of light bosonic (axion-like) dark matter may condense into compact Bose stars. We study collapses of the critical-mass stars caused by attractive self-interaction of the axion-like particles and find that these processes…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-11 D. G. Levkov , A. G. Panin , I. I. Tkachev

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

In this diplom-arbeit I consider a specific class of "analogue models" of curved spacetime that are specifically based on the use of Bose-Einstein condensates. As is usual in "analogue models", we are primarily interested in the kinematics…

General Relativity and Quantum Cosmology · Physics 2009-09-29 Silke E. Ch. Weinfurtner

We study the mechanisms of the gravitational collapse of the Bose-Einstein condensate dark matter halos, described by the zero temperature time-dependent nonlinear Schr\"odinger equation (the Gross-Pitaevskii equation), with repulsive…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Tiberiu Harko

A simple kinematical argument suggests that the classical approximation may be inadequate to describe the evolution of a system with an anisotropic particle distribution. In order to verify this quantitatively, we study the Boltzmann…

High Energy Physics - Phenomenology · Physics 2015-10-28 Thomas Epelbaum , Francois Gelis , Sangyong Jeon , Guy Moore , Bin Wu

We aim to search for a connection between an invariant minimum speed that breaks down the Lorentz symmetry and the Gravitational Bose Einstein Condensate (GBEC), which is the central core of a star of gravitating vacuum (Gravastar/Dark…

General Physics · Physics 2016-12-26 Claudio Nassif , Rodrigo Francisco do Santos

Within a variational approach to solve the Gross-Pitaevskii equation we investigate dynamical properties of a rotating Bose-Einstein condensate which is confined in an anharmonic trap. In particular, we calculate the eigenfrequencies of…

Statistical Mechanics · Physics 2015-05-13 Sebastian Kling , Axel Pelster

Analogue gravity is based on the simple observation that perturbations propagating in several physical systems can be described by a quantum field theory in a curved spacetime. While phenomena like Hawking radiation are hardly detectable in…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Stefano Finazzi

A space-time crystal has recently been observed in a superfluid Bose gas. Here we construct a variational model that allows us to describe from first principles the coupling between the radial breathing mode and the higher-order axial modes…

Quantum Gases · Physics 2019-02-06 Lei Liao , Jasper Smits , Peter van der Straten , Henk Stoof

We provide a detailed description of the nonequilibrium time evolution of an interacting homogeneous Bose-Einstein condensate. We use a nonperturbative in-medium quantum field theory approach as a microscopic model for the Bose gas. The…

Soft Condensed Matter · Physics 2007-05-23 D. G. Barci , E. S. Fraga , Rudnei O. Ramos

Many gravitational phenomena that lie at the core of our understanding of the Universe have not yet been directly observed. An example in this sense is the boson star that has been proposed as an alternative to some compact objects…

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

A dynamical correspondence is established between positively curved, isotropic, perfect fluid cosmologies and quasi-two-dimensional, harmonically trapped Bose-Einstein condensates by mapping the equations of motion for both systems onto the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 James E. Lidsey

Understanding and classifying nonequilibrium many-body phenomena, analogous to the classification of equilibrium states of matter into universality classes, is an outstanding problem in physics. Any many-body system, from stellar matter to…

This paper reports a study on the formation and physical characteristics of compacts stars in AdS spacetime within the framework of Bose-Einstein Condensate. Considering a Bose-Einstein condensate background at zero temperature this study…

General Relativity and Quantum Cosmology · Physics 2026-05-20 Samprity Das , Aroonkumar Beesham , Surajit Chattopadhyay

We study the gravitational Bose-Einstein condensation of a massive vector field in the kinetic regime and the non-relativistic limit using non-linear dynamical numerical methods. Gravitational condensation leads to the spontaneous formation…

High Energy Astrophysical Phenomena · Physics 2023-05-29 Jiajun Chen , Xiaolong Du , Mingzhen Zhou , Andrew Benson , David J. E. Marsh