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A Bose gas in an external potential is studied by means of the semi-classical approximation. Analytical results are derived for the energy of an interacting Bose gas in a generic power-law trapping potential. An expression for the chemical…

统计力学 · 物理学 2009-10-28 Hualin Shi , Wei-Mou Zheng

The Bose gas in an external potential is studied by means of the local density approximation. An analytical result is derived for the dependence of the critical temperature of Bose-Einstein condensation on the mutual interaction in a…

凝聚态物理 · 物理学 2009-10-28 Hualin Shi , Wei-Mou Zheng

Thermodynamic properties of ideal Bose gas trapped in an external generic power law potential are investigated systematically from the grand thermodynamic potential in $d$ dimensional space. The most general conditions for Bose-Einstein…

量子气体 · 物理学 2016-04-18 Mir Mehedi Faruk

We discuss thermal and dynamical properties of Bose condensates confined by an external potential. First we analyze the Bose-Einstein transition temperature for an ideal Bose gas in a generic power-law potential and d-dimensional space.…

统计力学 · 物理学 2007-05-23 Luca Salasnich

The thermodynamical properties of interacting Bose atoms in a harmonic potential are studied within the mean-field approximation. For weak interactions, the quantum statistics is equivalent to an ideal gas in an effective mean-field…

量子气体 · 物理学 2015-06-03 Shi-Jie Yang , Yuechan Liu , Shiping Feng

In this paper the thermodynamical parameters of a condensed Boson gas are calculated from the partial derivative of the grand potential. In particular, the analytical expressions for some important parameters, such as the condensed…

统计力学 · 物理学 2009-09-28 Ahmed S. Hassan , Shemi S. M. Soliman , Emad H. Soliman

We formulate a general scheme for calculation of thermodynamic properties of ideal Bose gas with microscopic number of static impurities immersed, when the system is loaded in the harmonic trapping potential with quasi-1D and quasi-2D…

量子气体 · 物理学 2023-03-03 O. Hryhorchak , V. Pastukhov

Present experiments with Bose condensed gases can be largely described by a semi-ideal two-gas model. In this model, the condensate is influenced only by the mean-field repulsion among condensed atoms, while the thermal cloud is considered…

凝聚态物理 · 物理学 2009-10-31 M. Naraschewski , D. M. Stamper-Kurn

We investigate the interaction effect between atoms and the finite size effect of a Bose-Einstein gas at finite temperature. Using a mean field approach, we derive the thermodynamic potential on finite systems and obtain the condensate…

统计力学 · 物理学 2007-05-23 Makoto Hiramoto

We investigate the thermodynamic behaviour of a Bose gas interacting with repulsive forces and confined in a harmonic anisotropic trap. We develop the formalism of mean field theory for non uniform systems at finite temperature, based on…

凝聚态物理 · 物理学 2015-06-25 S. Giorgini , L. P. Pitaevskii , S. Stringari

Using a field-theoretic approach, we systematically generalize the usual semiclassical approximation for a harmonically trapped ideal Bose gas in such a way that its range of applicability is essentially extended. With this we can…

统计力学 · 物理学 2009-11-13 Ben Klünder , Axel Pelster

We rigorously discuss the large-$N$ thermodynamics of a Bose gas with a short-range two-body potential. Considering the system as a mixture of $N$ identical components with symmetrical interaction we calculated numerically the temperature…

量子气体 · 物理学 2018-12-26 Orest Hryhorchak , Volodymyr Pastukhov

A renormalization group method is developed with which thermodynamic properties of a weakly interacting, confined Bose gas can be investigated. Thereby effects originating from a confining potential are taken into account by periodic…

凝聚态物理 · 物理学 2009-10-31 G. Alber

A hard-sphere (HS) Bose gas in a trap is investigated at finite temperatures in the weakly-interacting regime and its thermodynamic properties are evaluated using the static fluctuation approximation (SFA). The energies are calculated with…

量子气体 · 物理学 2015-05-20 Saleem I. Qashou , Mohamed K. Al-Sugheir , Asaad R. Sakhel , Humam B. Ghassib

We report in situ measurements of density fluctuations in a quasi one dimensional Bose gas at thermal equilibrium in an elongated harmonic trap. We observe an excess of fluctuations compared to the shot noise level expected for uncorrelated…

We study thermodynamic properties of weakly interacting Bose gases above the transition temperature of Bose-Einstein condensation in the framework of a thermodynamic perturbation theory. Cases of local and non-local interactions between…

量子气体 · 物理学 2021-02-05 M. S. Bulakhov , A. S. Peletminskii , Yu. V. Slyusarenko , A. G. Sotnikov

Zero temperature properties of a dilute weakly interacting $d$-dimensional Bose gas in a random potential are studied. We calculate geometrical and energetic characteristics of the localized state of a gas confined in a large box or in a…

量子物理 · 物理学 2015-05-13 G. M. Falco , T. Nattermann , V. L. Pokrovsky

We study the thermodynamics of the Bose-condensed atomic hydrogen confined in the Ioffe-Pritchard potential. Such a trapping potential, that models the magnetic trap used in recent experiments with hydrogen, is anharmonic and strongly…

统计力学 · 物理学 2016-08-31 B. Pozzi , L. Salasnich , A. Parola , L. Reatto

Significant evidence is available to support the quantum effects of gravity that leads to the generalized uncertainty principle (GUP) and the minimum observable length. Usually quantum mechanics, statistical physics doesn't take gravity…

量子气体 · 物理学 2020-06-24 Ya-ting Wang , He-ling Li

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…

凝聚态物理 · 物理学 2014-10-13 U. Al Khawaja , N. P. Proukakis , J. O. Andersen , M. W. J. Romans , H. T. C. Stoof
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