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This work analyzes the effects of quantization on a Friedmann-Lema\^{\i}tre-Robertson-Walker (FLRW) model with positive curvature and material content composed of a Bose-Einstein condensate, a radioactive fluid and a cosmological constant…

General Relativity and Quantum Cosmology · Physics 2020-11-12 G. A. Monerat , F. G. Alvarenga , S. V. B. Gonçalves , R. Fracalossi , G. Oliveira-Neto , C. G. M. Santos , E. V. Corrêa Silva

In the analogue gravity framework, the acoustic disturbances in a moving fluid can be described by an equation of motion identical to a relativistic scalar massless field propagating in a curved spacetime. This description is possible only…

General Relativity and Quantum Cosmology · Physics 2016-06-06 Bethan Cropp , Stefano Liberati , Rodrigo Turcati

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

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

We investigate wave-vortex interaction emerging from an expanding compact vortex cluster in a two-dimensional Bose-Einstein condensate. We adapt techniques developed for compact gravitational objects to derive the characteristic modes of…

General Relativity and Quantum Cosmology · Physics 2022-07-07 August Geelmuyden , Sebastian Erne , Sam Patrick , Carlo Barenghi , Silke Weinfurtner

The realization of artificial gauge fields and spin-orbit coupling for ultra-cold quantum gases promises new insight into paradigm solid state systems. Here we experimentally probe the dispersion relation of a spin-orbit coupled…

Quantum Gases · Physics 2015-06-19 C. Hamner , Yongping Zhang , M. A. Khamehchi , Matthew J. Davis , P. Engels

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

The emergence of macroscopic coherence in a many-body quantum system is a ubiquitous phenomenon across different physical systems and scales. This Chapter reviews key concepts characterizing such systems (correlation functions,…

Quantum Gases · Physics 2025-06-17 Nick P. Proukakis

There has been substantial interest in obtaining a quantum-gravitational description of de Sitter space. However, any such attempts have encountered formidable obstacles, and new philosophical directions may be in order. One possibility,…

High Energy Physics - Theory · Physics 2007-05-23 A. J. M. Medved

A negative effective mass can be realized in quantum systems by engineering the dispersion relation. A powerful method is provided by spin-orbit coupling, which is currently at the center of intense research efforts. Here we measure an…

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

Inspired by a recent experiment by Steinhauer and co-workers, we present a simple model which describes the formation of an acoustic black hole in a Bose-Einstein condensate, allowing an analytical computation of the evolution in time of…

General Relativity and Quantum Cosmology · Physics 2021-03-19 Alessandro Fabbri , Roberto Balbinot

We observe entanglement between collective excitations of a Bose-Einstein condensate in a configuration analogous to particle production during the preheating phase of the early universe. In our setup, the oscillation of the inflaton field…

For almost a century, the cosmological constant has been a mysterious object, in relation to both its origin and its very small value. By using a Bose-Einstein condensate analogue model for gravitational dynamics, we address here the…

General Relativity and Quantum Cosmology · Physics 2012-07-25 Stefano Finazzi , Stefano Liberati , Lorenzo Sindoni

We investigate a simple model for a galactic halo under the assumption that it is dominated by a dark matter component in the form of a Bose-Einstein condensate involving an ultra-light scalar particle. In particular we discuss the…

Cosmology and Nongalactic Astrophysics · Physics 2022-09-16 Mark N Brook , Peter Coles

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

In the present work, we analyze the evolution of the scalar and tensorial perturbations and the quantities relevant for the physical description of the Universe, as the density contrast of the scalar perturbations and the gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-01 R. C. Freitas , S. V. B. Gonçalves

We exploit the parallel between dynamical black holes and cosmological spacetimes to describe the evolution of Friedmann-Lema\^itre-Robertson-Walker universes from the point of view of an observer in terms of the dynamics of the apparent…

General Relativity and Quantum Cosmology · Physics 2015-10-07 Pierre Binétruy , Alexis Helou

The dynamics of interacting quantum vortices in a quasi-two-dimensional spatially inhomogeneous Bose-Einstein condensate, whose equilibrium density vanishes at two points of the plane with a possible presence of an immobile vortex with a…

Quantum Gases · Physics 2017-06-01 V. P. Ruban

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