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We consider Bose-Einstein condensation of an ideal bose gas with an equal mixture of `Rashba' and `Dresselhaus' spin-orbit interactions and study its effect on the critical temperature. In uniform bose gas a `cusp' and a sharp drop in the…

Quantum Gases · Physics 2015-11-11 Arunesh Roy , Sayak Ray , S. Sinha

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

Bose-condensed gases are considered with an effective interaction strength varying in the whole range of the values between zero and infinity. The consideration is based on the usage of a representative statistical ensemble for Bose systems…

Statistical Mechanics · Physics 2009-11-13 V. I. Yukalov , E. P. Yukalova

We show that cold dark matter axions thermalize and form a Bose-Einstein condensate. We obtain the axion state in a homogeneous and isotropic universe, and derive the equations governing small axion perturbations. Because they form a BEC,…

High Energy Physics - Phenomenology · Physics 2009-11-06 P. Sikivie , Q. Yang

We investigate the thermodynamic properties of a Bose-Einstein condensate with negative scattering length confined in a toroidal trapping potential. By numerically solving the coupled Gross-Pitaevskii and Bogoliubov-de Gennes equations, we…

Other Condensed Matter · Physics 2009-11-11 L. Salasnich , A. Parola , L. Reatto

We investigate Bose-Einstein condensation for interacting bosons at zero and nonzero temperature. Functional renormalization provides us with a consistent method to compute the effect of fluctuations beyond the Bogoliubov approximation. For…

Superconductivity · Physics 2009-01-28 S. Floerchinger , C. Wetterich

Following the idea of the density functional approach, we develop a generalized Bogoliubov theory of an interacting Bose gas confined in a one-dimensional harmonic trap, by using a local chemical potential - calculated with the Lieb-Liniger…

Quantum Gases · Physics 2024-08-26 Xiao-Long Chen , Yun Li , Hui Hu

The properties of ultracold quantum gases of bosons with dipole-dipole interaction is investigated at finite temperature in the frame of the representative ensembles theory. Self-consistent coupled equations of motion are derived for the…

Quantum Gases · Physics 2016-06-22 Abdelaali Boudjemaa

We study the analogy between the Hawking radiation in Black-Holes and the Quantum depletion process of a Bose-Einstein condensate by using the Bogoliubov transformations method. We find that the relation between the Bogoliubov coefficients…

Quantum Gases · Physics 2020-12-17 Ivan Arraut

We analyze the possibility that due to their superfluid properties some compact astrophysical objects may contain a significant part of their matter in the form of a Bose-Einstein condensate. To study the condensate we use the…

Solar and Stellar Astrophysics · Physics 2013-05-30 P. H. Chavanis , T. Harko

In the same way as the realization of some of the famous gedanken experiments imagined by the founding fathers of quantum mechanics has recently led to the current renewal of the interpretation of quantum physics, it seems that the most…

General Relativity and Quantum Cosmology · Physics 2021-11-19 Gilles Cohen-Tannoudji , Jean-Pierre Gazeau

We study matter-wave dark solitons in atomic Bose-Einstein condensates at finite temperatures, under the effect of linear and periodic potentials. Our model, namely a dissipative Gross-Pitaevskii equation, is treated analytically by means…

Pattern Formation and Solitons · Physics 2015-06-05 Y. Shen , P. G. Kevrekidis , N. Whitaker , N. I. Karachalios , D. J. Frantzeskakis

We have shown that the critical temperature of a Bose-Einstein condensate to a normal phase transition of noninteracting bosons in cubic optical lattices has a linear dependence on the filling factor, especially at large densities. The…

Quantum Gases · Physics 2014-10-01 Abdulla Rakhimov , Iman N. Askerzade

We study the thermodynamical properties of black holes when described as gases of indistinguishable punctures with a chemical potential. In this picture, which arises from loop quantum gravity, the black hole microstates are defined by…

General Relativity and Quantum Cosmology · Physics 2015-04-08 Olivier Asin , Jibril Ben Achour , Marc Geiller , Karim Noui , Alejandro Perez

We study the anomalous density in an ultra-cold trapped bose gas in a variational framework, for both zero and finite temperature. We show that it is finite in 1D, while it is logarithmically and linearly divergent in 2D and 3D. The…

Quantum Gases · Physics 2016-10-05 Benarous Mohamed

Experimentally the temperature in a Bose--Einstein condensate is always deduced resorting to the comparison between the Maxwell--Boltzmann velocity distribution function and the density profile in momentum space. Though a successful method…

Statistical Mechanics · Physics 2008-09-10 Abel Camacho , Luis F. Barragan , Alfredo Macias

The axions produced during the QCD phase transition by vacuum realignment, string decay and domain wall decay thermalize as a result of their gravitational self-interactions when the photon temperature is approximately 500 eV. They then…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-08 Nilanjan Banik , Adam Christopherson , Pierre Sikivie , Elisa Maria Todarello

In this paper we discuss the presence of temperature-dependent squeezing in the collective excitations of trapped Bose-Einstein condensates, based on a recent theory of quasiparticle damping. A new scheme to measure temperature below the…

Soft Condensed Matter · Physics 2007-05-23 J. Rogel-Salazar , S. Choi , G. H. C. New , K. Burnett

The density of bosonic states are calculated for spinless free massive bosons in generalised d dimensions. The number of bosons are calculated in the lowest energy state. The Bose Einstein condensation was found in generalised d dimensions…

Statistical Mechanics · Physics 2012-09-28 Ajanta Bhowal Acharyya , Muktish Acharyya

Using the time-dependent Hartree-Fock-Bogoliubov approach, where the condensate is coupled with the thermal cloud and the anomalous density, we study the equilibrium and the dynamical properties of three-dimensional quantum-degenerate Bose…

Quantum Gases · Physics 2017-10-12 Abdelaali Boudjemaa , Nadia Guebli