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Based on the generalized uncertainty principle (GUP), the critical temperature and the Helmholtz free energy of Bose-Einstein condensation (BEC) in the relativistic ideal Bose gas are investigated. At the non-relativistic limit and the…

High Energy Physics - Theory · Physics 2015-01-16 Xiuming Zhang , Chi Tian

We study zero and finite temperature static Bose-Einstein condensate (BEC) stars in the combined Rastall-Rainbow (RR) theory of gravity by considering different BEC equation of states (EoSs). We obtain the global properties of BEC stars by…

High Energy Astrophysical Phenomena · Physics 2023-11-27 O. P. Jyothilakshmi , Lakshmi J. Naik , V. Sreekanth

We study the Bose-Einstein condensation (BEC) of a free Bose gas under rigid rotation. The aim is to explore the impact of rotation on the thermodynamic quantities associated with BEC, including the Bose-Einstein (BE) transition temperature…

High Energy Physics - Phenomenology · Physics 2025-09-04 E. Siri , N. Sadooghi

In this manuscript, we investigate the thermal properties of the rotating charged BTZ black hole under the gravity's rainbow (GR) and generalized uncertainty principle (GUP) formalism. At first, we study the GR-corrected thermal quantities…

General Relativity and Quantum Cosmology · Physics 2023-01-02 B. C. Lütfüoğlu , B. Hamil , L. Dahbi

The paper considers Bose-Einstein condensation (BEC) of light in a cavity with medium. In the framework of two-level model we show the effect of gaseous medium on the critical temperature of light condensation in the system. Transition of…

Quantum Gases · Physics 2014-04-02 Alex Kruchkov

We explore the effect of mutual gravitational interaction between ultra-cold gas atoms on the dynamics of Bose-Einstein condensates (BEC). Small amplitude oscillation of BEC is studied by applying variational technique to reduce the…

General Relativity and Quantum Cosmology · Physics 2018-12-27 Patrick Das Gupta

The Bose-Einstein condensation (BEC) critical temperature in a relativistic ideal Bose gas of identical bosons, with and without the antibosons expected to be pair-produced abundantly at sufficiently hot temperatures, is exactly calculated…

Superconductivity · Physics 2008-11-26 M. Grether , M. de Llano , George A. Baker

In this paper we propose to apply the analogy between gravity and condensed matter physics to relativistic Bose-Einstein condensates (RBECs), i.e. condensates composed by relativistic constituents. While such systems are not yet a subject…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Serena Fagnocchi , Stefano Finazzi , Stefano Liberati , Marton Kormos , Andrea Trombettoni

We consider the Bose-Einstein condensation (BEC) in a relativistic pion gas. The thermodynamic limit when the system volume $V$ goes to infinity as well as the role of finite size effects are studied. At $V\to \infty$ the scaled variance…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. V. Begun , M. I. Gorenstein

We present a comprehensive theoretical investigation of Bose-Einstein condensates (BECs) and their manifestations in astrophysical and cosmological contexts. Building upon the foundations of quantum statistics in curved spacetime, we derive…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-25 Nader Haddad

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

We study selected aspects of quantum gravity phenomenology inspired by the gravitational analogy in Bose--Einstein condensates (BECs). We first review the basic ideas and formalism of analogue gravity in BECs, with particular emphasis on…

General Relativity and Quantum Cosmology · Physics 2009-07-17 Gil Jannes

Despite almost a century's worth of study, it is still unclear how general relativity (GR) and quantum theory (QT) should be unified into a consistent theory. The conventional approach is to retain the foundational principles of QT, such as…

Quantum Physics · Physics 2019-04-26 Richard Howl , Roger Penrose , Ivette Fuentes

Bose-Einstein condensation (BEC) of an ideal gas is investigated, beyond the thermodynamic limit, for a finite number $N$ of particles trapped in a generic three-dimensional power-law potential. We derive an analytical expression for the…

Quantum Gases · Physics 2019-04-04 Amine Jaouadi , Mourad Telmini , Eric Charron

In this paper, we investigate the thermodynamic properties of black holes in the framework of rainbow gravity. By considering rainbow functions in the metric of Schwarzschild and Reissner-Nordstr\"{o}m black holes, remnant and critical…

General Relativity and Quantum Cosmology · Physics 2016-10-17 Sunandan Gangopadhyay , Abhijit Dutta

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 have studied the effects of Lorentz-violation in the Bose-Einstein condensation (BEC) of an ideal boson gas, by assessing both the nonrelativistic and ultrarelativistic limits. Our model describes a massive complex scalar field coupled…

High Energy Physics - Theory · Physics 2015-02-17 Rodolfo Casana , Kleber A. T. da Silva

Conformal transformation as a mathematical tool has been used in many areas of gravitational physics. In this paper, we would consider the gravity's rainbow, in which the metric could be treated as a conformal rescaling of the original…

General Relativity and Quantum Cosmology · Physics 2018-02-21 Miao He , Ping Li , Zi-Liang Wang , Jia-Cheng Ding , Jian-Bo Deng

We study the Bose-Einstein condensation (BEC) for a system of $^7Li$ atoms, which have negative scattering length (attractive interaction), confined in a harmonic potential. Within the Bogoliubov and Popov approximations, we numerically…

Condensed Matter · Physics 2007-05-23 B. Pozzi , L. Salasnich , A. Parola , L. Reatto

Using semiclassical approximation method, Bose-Einstein condensation (BEC) of a relativistic ideal boson gas (RIBG) with and without antibosons in three-dimensional (3-D) harmonic traps is investigated. The BEC transition temperature T_{c}…

Statistical Mechanics · Physics 2011-11-03 Xiang-Mu Kong , Ying Wang , Cong-Fei Du
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