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Various widely-used mean-field type theories for a dilute Bose gas are critically examined in the light of the recent discovery of Bose-Einstein condensation of atomic gases in a confined geometry. By numerically solving the mean-field…

Condensed Matter · Physics 2009-10-30 Tomoya Isoshima , Kazushige Machida

Early during the era of cosmic inflation, rotational invariance may have been broken, only later emerging as a feature of low-energy physics. This motivates ongoing searches for residual signatures of anisotropic space-time, for example in…

General Relativity and Quantum Cosmology · Physics 2023-08-09 Arun Rana , Abhijit Pendse , Sebastian Wüster , Sukanta Panda

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 present an analogue spacetime model that reproduces the salient features of the most common ansatz for quantum gravity phenomenology. We do this by investigating a system of two coupled Bose-Einstein condensates. This system can be tuned…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Stefano Liberati , Matt Visser , Silke Weinfurtner

Phonons in a Bose-Einstein condensate can be made to behave as if they propagate in curved spacetime by controlling the condensate flow speed. Seemingly disconnected to this, artificial gauge potentials can be induced in charge neutral…

Quantum Gases · Physics 2018-10-08 Salvatore Butera , Niclas Westerberg , Daniele Faccio , Patrik Öhberg

We demonstrate that the ambiguity of the particle content for quantum fields in a generally curved space-time can be experimentally investigated in an ultracold gas of atoms forming a Bose-Einstein condensate. We explicitly evaluate the…

Other Condensed Matter · Physics 2007-05-23 Petr O. Fedichev , Uwe R. Fischer

This paper investigates the question whether a realistic black hole can be in principal similar to a star, having a large but finite redshift at its horizon. If matter spreads throughout the interior of a supermassive black hole with mass…

General Relativity and Quantum Cosmology · Physics 2015-05-14 Theo M. Nieuwenhuizen , Vaclav Spicka

We discuss the analogy between a classical scalar field with a self-interacting potential, in a curved spacetime described by a quasi--bounded state, and a trapped Bose-Einstein condensate. In this context, we compare the Klein-Gordon…

General Relativity and Quantum Cosmology · Physics 2014-11-26 Elías Castellanos , Celia Escamilla-Rivera , Alfredo Macías , Darío Núñez

The density density correlation function is computed for the Bogoliubov pseudoparticles created in a Bose-Einstein condensate undergoing a black hole flow. On the basis of the gravitational analogy, the method used relies only on quantum…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Paul R. Anderson , Roberto Balbinot , Alessandro Fabbri , Renaud Parentani

The main aim of this study is to reveal curved space and particle physics effects on the formation of Bose-Einstein condensate (BEC) scalar fields in cosmology and around a black hole. Cosmological scalar fields for dark energy and dark…

General Relativity and Quantum Cosmology · Physics 2023-08-11 Kemal Gültekin

Generalizing the one-component case, we demonstrate that the propagation of sound waves in two-component Bose-Einstein condensates can also be described in terms of effective sonic geometries under appropriate conditions. In comparison with…

Other Condensed Matter · Physics 2007-05-23 Uwe R. Fischer , Ralf Schützhold

Bose-Einstein condensates (BEC) have recently been the subject of considerable study as possible analogue models of general relativity. In particular it was shown that the propagation of phase perturbations in a BEC can, under certain…

Condensed Matter · Physics 2009-11-10 Carlos Barcelo , Stefano Liberati , Matt Visser

Analogue models of gravity have been motivated by the possibility of investigating phenomena not readily accessible in their cosmological counterparts. In this paper, we investigate the analogue of cosmological particle creation in a…

Other Condensed Matter · Physics 2007-10-01 Piyush Jain , Silke Weinfurtner , Matt Visser , C. W. Gardiner

The current article explores the problem of a Bose-Einstein condensate (BEC) trapped in an anisotropic three-dimensional harmonic-oscillator potential, with positive effective interatomic interactions, and the analogue gravity acoustic…

General Relativity and Quantum Cosmology · Physics 2019-04-05 B. González-Fernández , A. Camacho

Theories on the bosonic nature of dark matter are a promising alternative to the cold dark matter model. Here we consider a dark matter halo in the state of a Bose-Einstein condensate, subject to the gravitation of a black hole. In the low…

General Relativity and Quantum Cosmology · Physics 2023-10-11 Ludovica Dieli , Claudio Conti

We derive a generalized Gross-Pitaevski (GP) equation immersed on a electromagnetic and a weak gravitational field starting from the covariant Complex Klein-Gordon field in a curved space-time. We compare it with the GP equation where the…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Tonatiuh Matos , Eduardo Gomez

The behavior of a Bose--Einstein condensate in a homogeneous gravitational field is analyzed. We consider two different trapping potentials. Firstly, the gas is inside a finite container. The effects of the finiteness of the height of the…

Quantum Gases · Physics 2011-03-15 J. I. Rivas Sánchez , A. Camacho

Using recently developed nonrelativistic numerical simulation code, we investigate the stability properties of compact astrophysical objects that may be formed due to the Bose-Einstein condensation of dark matter. Once the temperature of a…

High Energy Physics - Phenomenology · Physics 2015-03-05 Eniko J. M. Madarassy , Viktor T. Toth

We discuss the phenomenon of Bose-Einstein condensation of an ideal non-relativistic Bose gas in an arbitrarily shaped cavity. The influence of the finite extension of the cavity on all thermodynamical quantities, especially on the critical…

Statistical Mechanics · Physics 2009-10-31 Klaus Kirsten , David J. Toms

A procedure is described whereby a linearly coupled spinor Bose condensate can be used as a physically accessible quantum simulator of the early universe. In particular, an experiment to generate an analog of an unstable vacuum in a…