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We develop a hydrodynamic representation of the Klein-Gordon-Maxwell-Einstein equations. These equations combine quantum mechanics, electromagnetism, and general relativity. We consider the case of an arbitrary curved spacetime, the case of…

General Relativity and Quantum Cosmology · Physics 2017-11-27 Pierre-Henri Chavanis , Tonatiuh Matos

In this paper we investigate the Bose-Einstein condensation of massive spin-1 particles in an Einstein universe. The system is considered under relativistic conditions taking into consideration the possibility of particle-antiparticle pair…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. B. Altaie , Ehab Malkawi

Recently, there has been much interest in simulating quantum field theory effects of matter and gauge fields. In a recent work [Phys. Rev. Lett. 107, 275301 (2011)] a method for simulating compact Quantum Electrodynamics (cQED) using…

Quantum Physics · Physics 2013-05-30 Erez Zohar , J. Ignacio Cirac , Benni Reznik

The quantization of unimodular gravity in minisuperspace leads to a time evolution of states generated by the Hamiltonian, as in usual quantum mechanics. We revisit the analysis made in Ref. \cite{unruh}, extending it to phantom scalar…

General Relativity and Quantum Cosmology · Physics 2025-04-17 Júlio C. Fabris , Luiz Filipe Guimarães , Nelson Pinto-Neto , Mahamadou Hamani Daouda

We exploit the analogy with the quantum Hall (QH) effect for electrons to study the possible atomic QH states of a rapidly-rotating Bose-Einstein condensate. Actually, there is a nearly perfect map of the present problem in the QH regime to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Zeng-Bing Chen , Bo Zhao , Yong-De Zhang

Some aspects of atom-field interactions in curved spacetime are reviewed. Of great interest are quantum radiative and entanglement processes arising out of Rindler and black hole spacetimes, which involve the role of Hawking-Unruh and…

General Relativity and Quantum Cosmology · Physics 2024-05-17 Syed Masood A. S. Bukhari , Li-Gang Wang

Analog gravity experiments, such as those realized in Bose-Einstein condensates, often aim at simulating cosmological pair production due to the dynamical expansion of the Universe. However, these experiments have a start and an end, which…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Álvaro Álvarez-Domínguez , Álvaro Parra-López

We consider a physically viable cosmological model that has a field dependent Gauss-Bonnet coupling in its effective action, in addition to a standard scalar field potential. The presence of such terms in the four dimensional effective…

High Energy Physics - Theory · Physics 2008-11-26 Ishwaree P Neupane , Benedict M N Carter

A free scalar field minimally coupled to gravity model is quantized and the Wheeler-DeWitt equation in minisuperspace is solved analytically, exhibiting positive and negative frequency modes. The analysis is performed for positive, negative…

General Relativity and Quantum Cosmology · Physics 2009-10-31 R. Colistete , J. C. Fabris , N. Pinto-Neto

Coarsening of an isolated far-from-equilibrium quantum system is a paradigmatic many-body phenomenon, relevant from subnuclear to cosmological lengthscales, and predicted to feature universal dynamic scaling. Here, we observe universal…

Fluctuations around a Bose-Einstein condensate can be described by means of Bogolubov theory leading to the notion of quasiparticle and antiquasiparticle familiar to non-relativistic condensed matter practitioners. On the other hand, we…

General Relativity and Quantum Cosmology · Physics 2014-11-21 C. Barcelo , L. J. Garay , G. Jannes

We present a theoretical scheme to simulate quantum field theory in a discrete curved spacetime based on the Bose-Hubbard model describing a Bose-Einstein condensate trapped inside an optical lattice. Using the Bose-Hubbard Hamiltonian, we…

Quantum Physics · Physics 2017-12-04 F. Bemani , R. Roknizadeh , M. H. Naderi

The spatial curvature of the universe is not yet known. Even though at present the Universe is very close to being essentially flat and most signatures of curvature appear to have been diluted by inflation, if the number of e-foldings…

High Energy Physics - Theory · Physics 2021-12-23 Sebastian Cespedes , Senarath de Alwis , Francesco Muia , Fernando Quevedo

We study Bose-Einstein condensation and formation of Bose stars in the virialized dark matter halos/miniclusters by universal gravitational interactions. We prove that this phenomenon does occur and it is described by kinetic equation. We…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-17 D. G. Levkov , A. G. Panin , I. I. Tkachev

General relativity predicts that the curvature of spacetime induces spin rotations on a parallel transported particle. We deploy Unruh's analogue gravity picture and consider a quantised vortex embedded in a two-dimensional superfluid…

Quantum Gases · Physics 2023-05-26 Emil Génetay Johansen , Tapio Simula

A U(1) gauge theory turns, on physically motivated models of Quantum Spacetime, into a U($\infty$) gauge theory, hence free classical electrodynamics is no longer free and neutral fields may have electromagnetic interactions. We discuss the…

General Relativity and Quantum Cosmology · Physics 2017-03-22 Sergio Doplicher , Klaus Fredenhagen , Gerardo Morsella , Nicola Pinamonti

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

The phenomenon of Bose-Einstein condensation of dilute gases in traps is reviewed from a theoretical perspective. Mean-field theory provides a framework to understand the main features of the condensation and the role of interactions…

Condensed Matter · Physics 2009-10-31 F. Dalfovo , S. Giorgini , L. P. Pitaevskii , S. Stringari

There exists a large number of experimental and theoretical results supporting the picture of "macroscopic qubits" implemented, for instance, by Rydberg atoms, Josephson junctions or Bose-Einstein condensates - the systems which should…

Quantum Physics · Physics 2008-12-05 Robert Alicki

We construct a generalization of the quantum Hall effect, where particles move in four dimensional space under a SU(2) gauge field. This system has a macroscopic number of degenerate single particle states. At appropriate integer or…

Condensed Matter · Physics 2011-05-05 Shou-Cheng Zhang , Jiangping Hu