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We study the dynamics of a Bose-Einstein condensate (BEC) in a one dimensional optical lattice in the limit of weak atom-atom interactions. Numerically we find that a BEC may develop a pulsating instability in which atoms nearly…

Other Condensed Matter · Physics 2009-09-29 Uttam Shrestha

We investigate gravitational analogue models to describe slowly rotating objects (e.g., dark-matter halos, or boson stars) in terms of Bose-Einstein condensates, trapped in their own gravitational potentials. We begin with a modified…

General Relativity and Quantum Cosmology · Physics 2014-11-26 Florian Kuhnel , Cornelius Rampf

Bose-Einstein condensate of rarified atomic gases is considered as the state formed by exchange of virtual photons, resonant to the lowest levels of atoms; such representation corresponds to the Einstein opinion about an inter-influence of…

Other Condensed Matter · Physics 2008-04-14 Mark E. Perel'man

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 consider superfluid hydrodynamics of two-dimensional Bose-Einstein condensates. Interpreting the curvature of the macroscopic condensate wavefunction as an effective gravity in such a superfluid universe, we argue for a superfluid…

Quantum Gases · Physics 2020-07-01 Tapio Simula

We study both static and dynamic properties of a weakly interacting Bose-Einstein condensate (BEC) in a quasi one-dimensional gravito-optical surface trap, where the downward pull of gravity is compensated by the exponentially decaying…

Quantum Gases · Physics 2016-04-20 Javed Akram , Benjamin Girodias , Axel Pelster

We completed the development of simulation code that is designed to study the behavior of a conjectured dark matter galactic halo that is in the form of a Bose-Einstein Condensate (BEC). The BEC is described by the Gross-Pitaevskii…

Astrophysics of Galaxies · Physics 2013-02-19 Eniko J. M. Madarassy , Viktor T. Toth

We study an overpopulated gas of gravitationally interacting bosons surrounding a droplet of Bose-Einstein condensate - Bose star. We argue that kinetic evolution of this gas approaches with time a self-similar attractor solution to the…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-19 A. S. Dmitriev , D. G. Levkov , A. G. Panin , I. I. Tkachev

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

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

Analogue spacetimes are powerful models for probing the fundamental physical aspects of geometry - while one is most typically interested in ultimately reproducing the pseudo-Riemannian geometries of interest in general relativity and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Silke Weinfurtner , Stefano Liberati , Matt Visser

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

The Gross-Pitaevskii (GP) equation is a long-wavelength approach widely used to describe the dilute Bose-Einstein condensates (BEC). However, in many physical situations, such as higher densities, this approximation unlikely suffices hence…

Quantum Gases · Physics 2011-09-27 Alexander V. Avdeenkov , Konstantin G. Zloshchastiev

Bose-Einstein condensation (BEC) is a quantum mechanical phenomenon directly linked to the quantum statistics of bosons. While cold atomic gases provide a new arena for exploring the nature of BEC, a long-term quest to confirm BEC of…

Quantum Gases · Physics 2011-07-11 Kosuke Yoshioka , Eunmi Chae , Makoto Kuwata-Gonokami

We take into account two further physical models which play an utmost importance in the framework of Analogue Gravity. We first consider Bose--Einstein condensates (BEC) and then surface gravity waves in water. Our approach is based on the…

General Relativity and Quantum Cosmology · Physics 2020-11-25 F. Belgiorno , S. L. Cacciatori , A. Farahat , A. Viganò

Gravity stands out among the fundamental interactions because of its apparent incompatibility with having a quantum description. Moreover, thermodynamic aspects of gravitation theory appears as puzzling features of some classical solutions…

General Relativity and Quantum Cosmology · Physics 2009-09-29 Stefano Liberati , Florian Girelli , Lorenzo Sindoni

We study a relativistic scalar field model for self-bound Bose-Einstein condensates (BECs) by analyzing a nonlinear Klein-Gordon equation with cubic and logarithmic interactions. This framework captures essential features of quantum…

Quantum Gases · Physics 2026-04-14 Kevin Hernández , Elías Castellanos

Since their prediction by Einstein at the dawn of quantum mechanics, Bose-Einstein condensates (BECs), owing to their property to show quantum phenomena on macroscopic scales, are drawing increasing attention across various fields in…

We discuss the transport of a tracer particle through the Bose Einstein condensate of a Bose gas. The particle interacts with the atoms in the Bose gas through two-body interactions. In the limiting regime where the particle is very heavy…

Mathematical Physics · Physics 2015-06-05 Juerg Froehlich , Zhou Gang

The simplest model of three coupled Bose-Einstein Condensates (BEC) is investigated using a group theoretical method. The stationary solutions are determined using the SU(3) group under the mean field approximation. This semiclassical…

Quantum Physics · Physics 2009-11-06 K. Nemoto , C. A. Holmes , G. J. Milburn , W. J. Munro