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Within a quasiparticle framework, we reconsider the issue of computing the Bose-Einstein condensation temperature ($T_c$) in a weakly non-ideal Bose gas. The main result of this and previous investigations is that $T_c$ increases with the…

Condensed Matter · Physics 2007-05-23 Masudul Haque , Andrei E. Ruckenstein

We study numerically the low temperature behavior of a one-dimensional Bose gas trapped in an optical lattice. For a sufficient number of particles and weak repulsive interactions, we find a clear regime of temperatures where density…

Statistical Mechanics · Physics 2013-05-29 C. Gils , L. Pollet , A. Vernier , F. Hebert , G. G. Batrouni , M. Troyer

With the integral representation of Bose functions, the Bose-Einstein condensation of non-interacting bosons in a three-dimensional harmonic trap was studied. The relation between the particle number and its phase transition temperature was…

Statistical Mechanics · Physics 2015-06-25 Sang-Hoon Kim

We consider an interacting, dilute Bose gas trapped in a harmonic potential at a positive temperature. The system is analyzed in a combination of a thermodynamic and a Gross-Pitaevskii (GP) limit where the trap frequency $\omega$, the…

Mathematical Physics · Physics 2019-08-27 Andreas Deuchert , Robert Seiringer , Jakob Yngvason

We investigate theoretically Bose-Einstein condensation of an ideal, trapped Bose gas in the presence of Rashba spin-orbit coupling. Analytic results for the critical temperature and condensate fraction are derived, based on a…

Quantum Gases · Physics 2012-01-30 Hui Hu , Xia-Ji Liu

We investigate the long-range phase coherence of homogeneous and trapped Bose gases as a function of the geometry of the trap, the temperature, and the mean-field interactions in the weakly interacting limit. We explicitly take into account…

Condensed Matter · Physics 2014-10-13 U. Al Khawaja , N. P. Proukakis , J. O. Andersen , M. W. J. Romans , H. T. C. Stoof

We study the Bose-Einstein condensation in non-extensive statistics for a free gas of bosons, and extend the results to the non-relativistic case as well. We present results for the dependence of the critical temperature and the condensate…

Quantum Gases · Physics 2021-10-27 E. Megias , V. S. Timóteo , A. Gammal , A. Deppman

We present a study of the effects of temperature upon the excitation frequencies of a Bose-Einstein condensate formed within a dilute gas with a weak attractive effective interaction between the atoms. We use the self-consistent…

Condensed Matter · Physics 2009-10-31 M. J. Davis , D. A. W. Hutchinson , E. Zaremba

The quantum critical behavior of the Bose-Hubbard model for a description of two coupled Bose-Einstein condensates is studied within the framework of an algebraic theory. Energy levels, wavefunction overlaps with those of the Rabi and Fock…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Feng Pan , J. P. Draayer

The mode structure of a Bose-Einstein condensate non-adiabatically loaded into a one-dimensional optical lattice is studied by analyzing the visibility of the interference pattern as well as the radial profile of the condensate after a…

Soft Condensed Matter · Physics 2009-11-07 O. Morsch , J. H. Müller , D. Ciampini , M. Cristiani , P. B. Blakie , C. J. Williams , P. S. Julienne , E. Arimondo

We study thermal properties of a trapped Bose-Bose mixture in a dilute regime using quantum Monte Carlo methods. Our main aim is to investigate the dependence of the superfluid density and the condensate fraction on temperature, for the…

Quantum Gases · Physics 2021-01-04 K. Dželalija , V. Cikojević , J. Boronat , L. Vranješ Markić

The two-component mixture of Bose particles with short-range pairwise interaction at finite temperatures in three dimensions is considered. Particularly we examine, by means of the large-$N$ expansion technique, the stability of mixed state…

Quantum Gases · Physics 2020-12-02 Orest Hryhorchak , Volodymyr Pastukhov

We describe the method allowing quantitative interpretation of absorptive images of mixtures of BEC and thermal atoms which reduces possible systematic errors associated with evaluation of the contribution of each fraction. By using known…

Other Condensed Matter · Physics 2015-05-13 J. Szczepkowski , R. Gartman , M. Witkowski , L. Tracewski , M. Zawada , W. Gawlik

Motivated by the recent achievement of space-based Bose-Einstein condensates (BEC) with ultracold alkali-metal atoms under microgravity and by the proposal of bubble traps which confine atoms on a thin shell, we investigate the BEC…

Quantum Gases · Physics 2019-10-22 A. Tononi , L. Salasnich

We consider the fluctuations in atom number that occur within finite-sized measurement cells in a trapped Bose-Einstein condensate (BEC). This approximates the fluctuation measurements made in current experiments with finite resolution in…

Quantum Gases · Physics 2014-01-17 R. N. Bisset , C. Ticknor , P. B. Blakie

We study transverse radial oscillations of an elongated Bose-Einstein condensate using finite temperature simulations, in the context of a recent experiment at ENS. We demonstrate the existence of a mode corresponding to an in-phase…

Statistical Mechanics · Physics 2009-11-07 B. Jackson , E. Zaremba

We investigate the phenomenon of Bose-Einstein condensation on manifolds constructed as a product of a three-dimensional Euclidian space and a general smooth, compact $d$-dimensional manifold possibly with boundary. By using spectral…

High Energy Physics - Theory · Physics 2011-07-27 Guglielmo Fucci , Klaus Kirsten

Squeezed, nonclassical states are an integral tool of quantum metrology due to their ability to push the sensitivity of a measurement apparatus beyond the limits of classical states. While their creation in light has become a standard…

Quantum Gases · Physics 2021-01-15 Paul Juschitz

We improve on the Popov theory for partially Bose-Einstein condensed atomic gases by treating the phase fluctuations exactly. As a result, the theory becomes valid in arbitrary dimensions and is able to describe the low-temperature…

Condensed Matter · Physics 2009-11-07 J. O. Andersen , U. Al Khawaja , H. T. C Stoof

Bose-Einstein condensation has been realized in dilute atomic vapors. This achievement has generated immerse interest in this field. Presented is a review of recent theoretical research into the properties of trapped dilute-gas…

Soft Condensed Matter · Physics 2009-10-31 Takeya Tsurumi , Hirofumi Morise , Miki Wadati