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Most of the literature on quantum vortices predicting various states of vortex matter in three dimensions at finite temperatures in quantum fluids is based on an assumption of an extended and homogeneous system. It is well known not to be…

Statistical Mechanics · Physics 2008-04-04 S. Kragset , E. Babaev , A. Sudbo

The paper considers a model for Bose gases in the so-called 'high-temperature range' below the temperature Tc, where Bose-Einstein condensation sets in.The model is of non-linear two-component type, consisting of a kinetic equation with…

Mathematical Physics · Physics 2016-03-09 L. Arkeryd , A. Nouri

A recent experiment [Deng et al., Nature 398, 218(1999)] demonstrated four-wave mixing of matter wavepackets created from a Bose-Einstein condensate. The experiment utilized light pulses to create two high-momentum wavepackets via Bragg…

Statistical Mechanics · Physics 2009-10-31 Marek Trippenbach , Yehuda B. Band , Paul S. Julienne

Once the critical temperature of a cosmological boson gas is less than the critical temperature, a Bose-Einstein Condensation process can always take place during the cosmic history of the universe. Zero temperature condensed dark matter…

Astrophysics of Galaxies · Physics 2015-05-30 Tiberiu Harko , Eniko J. M. Madarassy

The dynamics of a filled massive vortex is studied numerically and analytically using a two-dimensional model of a two-component Bose--Einstein condensate trapped in a harmonic trap. This condensate exhibits phase separation. In the…

Quantum Gases · Physics 2022-06-29 Victor P. Ruban

We derive from first principles equations for bosonic, non-relativistic and self-interacting dark matter which can include both a condensed, low momentum "fuzzy" component and one with higher momenta that may be approximated as a collection…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-21 Nick P. Proukakis , Gerasimos Rigopoulos , Alex Soto

We present a microscopic theory of the second order phase transition in an interacting Bose gas that allows one to describe formation of an ordered condensate phase from a disordered phase across an entire critical region continuously. We…

Statistical Mechanics · Physics 2015-11-27 Vitaly V. Kocharovsky , Vladimir V. Kocharovsky

We investigate a Bose gas with finite-range interaction using a scheme to eliminate unphysical processes in the T-matrix approximation. In this way the corrected T-matrix becomes suitable to calculate properties below the critical…

Statistical Mechanics · Physics 2010-03-11 M. Männel , K. Morawetz , P. Lipavský

A simple model of Bose-Einstein condensation of interacting particles is proposed. It is shown that in the condensate state the dependence of thermodynamic quantities on the interaction constant does not allow an expansion in powers of the…

Statistical Mechanics · Physics 2017-01-04 Yu. M. Poluektov

Fully 3D cosmological simulations of scalar field dark matter with self-interactions, also known as Bose-Einstein condensate dark matter, are performed using a set of effective hydrodynamic equations. These are derived from the non-linear…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-26 S. T. H. Hartman , H. A. Winther , D. F. Mota

We investigate the notion of Bose-Einstein condensation of interacting particles. The definition of the condensate is based on the existence of the dominant eigenvalue of the single-particle density matrix. The statistical properties and…

Condensed Matter · Physics 2007-05-23 M. A. Cirone , K. Goral , K. Rzazewski , M. Wilkens

We consider the effects of an uncorrelated random potential on the properties of Bose-Einstein Condensate (BEC) dark matter halos, which acts as a source of disorder, and which is added as a new term in the Gross-Pitaevskii equation,…

General Relativity and Quantum Cosmology · Physics 2022-05-18 Tiberiu Harko , Eniko J. Madarassy

Interfacial profiles and interfacial tensions of phase-separated binary mixtures of Bose-Einstein condensates are studied theoretically. The two condensates are characterized by their respective healing lengths $\xi_1$ and $\xi_2$ and by…

Statistical Mechanics · Physics 2015-03-17 Joseph O. Indekeu , Chang-You Lin , Nguyen Van Thu , Bert Van Schaeybroeck , Tran Huu Phat

If dark matter in the galactic halo is composed of bosons that form a Bose-Einstein condensate then it is likely that the rotation of the halo will lead to the nucleation of vortices. After a review of the Gross-Pitaevskii equation, the…

High Energy Physics - Phenomenology · Physics 2014-11-20 Ben Kain , Hong Y. Ling

We present a numerical study of turbulence in Bose-Einstein condensates within the 3D Gross-Pitaevskii equation. We concentrate on the direct energy cascade in forced-dissipated systems. We show that behavior of the system is very sensitive…

Chaotic Dynamics · Physics 2010-08-04 Davide Proment , Sergey Nazarenko , Miguel Onorato

We study the Bose-Einstein condensation of an interacting gas with attractive interaction confined in a harmonic trap using a semiclassical two-fluid mean-field model. The condensed state is described by converged numerical solution of the…

Soft Condensed Matter · Physics 2009-10-31 Sadhan K. Adhikari

We confront a non-relativistic Bose--Einstein Condensate (BEC) model of light bosons interacting gravitationally either through a Newtonian or a Yukawa potential with the observed rotational curves of $12$ dwarf galaxies. The baryonic…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-14 Emma Kun , Zoltán Keresztes , Saurya Das , László Á. Gergely

We revisit the problem of the reduction of the three-dimensional (3D) dynamics of Bose-Einstein condensates, under the action of strong confinement in one direction ($z$), to a 2D mean-field equation. We address this problem for the…

Quantum Gases · Physics 2020-10-14 Mateus C. P. dos Santos , Boris A. Malomed , Wesley B. Cardoso

The nature of one of the fundamental components of the Universe, the dark matter, is still unknown. One interesting possibility is that dark matter could exist in the form of a self-interacting Bose-Einstein Condensate (BEC). The…

General Relativity and Quantum Cosmology · Physics 2020-09-03 Maria Crăciun , Tiberiu Harko

We review the properties of chaoticity and coherence in Bose-Einstein condensation and correlations, for a dense boson system in its mean-field represented approximately by a harmonic oscillator potential. The order parameter and the nature…

High Energy Physics - Phenomenology · Physics 2015-01-27 Cheuk-Yin Wong , Wei-Ning Zhang , Jie Liu , Peng Ru