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In the thermodynamic limit the ratio of system size to thermal de Broglie wavelength tends to infinity and the volume per particle of the system is constant. Our familiar Bose-Einstein statistics is absolutely valid in the thermodynamic…

统计力学 · 物理学 2009-11-19 Shyamal Biswas

We show that $SU_q(2)$ invariant systems in one and two dimensions exhibit Bose-Einstein condensation for $q >1$. For these systems there is a $\lambda$-transition at the critical temperature. The critical temperature and the gap in the…

凝聚态物理 · 物理学 2009-10-30 Marcelo R. Ubriaco

Low energy collective mode of a confined Bose-Einstein condensate should demonstrate the echo effect in the regime of Landau damping. This echo is a signature of reversible nature of Landau damping. General expression for the echo profile…

软凝聚态物质 · 物理学 2016-08-31 A. B. Kuklov

We present a theory for the linear dynamics of a weakly interacting Bose gas confined inside a harmonic trap at finite temperature. The theory treats the motions of the condensate and of the non-condensate on an equal footing within a…

统计力学 · 物理学 2007-05-23 Xia-Ji Liu , Hui Hu , A. Minguzzi , M. P. Tosi

After a brief historical introduction to Bose-Einstein condensation and Fermi degeneracy, we discuss theoretical results we have recentely obtained for trapped degenerate quantum gases by means of a thermal field theory approach. In…

统计力学 · 物理学 2007-05-23 Luca Salasnich

The state of a rotating Bose-Einstein condensate in a harmonic trap is modeled by a wave function that minimizes the Gross-Pitaevskii functional. The resulting minimization problem has two new features compared to other similar functionals…

偏微分方程分析 · 数学 2014-08-29 Ayman Kachmar

Using magnetically trapped atomic hydrogen as an example, we investigate the prospects of achieving Bose-Einstein condensation in a dilute Bose gas. We show that, if the gas is quenched sufficiently far into the critical region of the phase…

凝聚态物理 · 物理学 2007-05-23 H. T. C. Stoof

Corrections to the zero-temperature Thomas-Fermi description of a dilute interacting condensed Bose-Einstein gas confined in an isotropic harmonic trap arise due to the presence of a boundary layer near the condensate surface. Within the…

统计力学 · 物理学 2009-10-30 Alexander L. Fetter , David L. Feder

We perform Monte Carlo studies of vortices in three dimensions in a cylindrical confinement, with uniform and nonuniform density. The former is relevant to rotating 4He, the latter is relevant to a rotating trapped Bose--Einstein…

统计力学 · 物理学 2007-05-23 S. Kragset , E. Babaev , A. Sudbo

The influence of a weak random potential on the collective modes of a trapped interacting Bose-Einstein condensate at zero temperature is calculated in the limit when the correlation length of the disorder is smaller than the healing length…

其他凝聚态物理 · 物理学 2010-02-05 G. M. Falco , A. Pelster , R. Graham

The problem of Bose-Einstein condensation for a relativistic ideal gas on a 3+1 dimensional manifold with a hyperbolic spatial part is analyzed in some detail. The critical temperature is evaluated and its dependence of curvature is pointed…

高能物理 - 理论 · 物理学 2009-10-22 Guido Cognola , Luciano Vanzo

We consider a dilute, homogeneous Bose gas at positive temperature. The system is investigated in the Gross-Pitaevskii (GP) limit, where the scattering length $a$ is so small that the interaction energy is of the same order of magnitude as…

数学物理 · 物理学 2020-03-17 Andreas Deuchert , Robert Seiringer

We study low temperature thermodynamic properties of a polarized Fermi gas trapped in a quartic anharmonic potential. We use a semi classical approximation and a low temperature series expansion method to derive analytical expressions for…

量子气体 · 物理学 2010-09-22 Mark DelloStritto , Theja N. De Silva

We analyze the implosion and subsequent explosion of a trapped condensate after the scattering length is switched to a negative value. Our results compare very well qualitatively and fairly well quantitatively with the results of recent…

凝聚态物理 · 物理学 2009-11-07 L. Santos , G. V. Shlyapnikov

The critical temperature T_c of an interacting Bose gas trapped in a general power-law potential V(x)=\sum_i U_i|x_i|^{p_i} is calculated with the help of variational perturbation theory. It is shown that the interaction-induced shift in…

统计力学 · 物理学 2009-11-10 O. Zobay , G. Metikas , H. Kleinert

The Bose-Einstein condensates recently created in trapped atomic gases are mesoscopic systems, in two senses: (a) Their size fall between macroscopic and microscopic systems; (b) They have a quantum phase that can be manipulated in…

凝聚态物理 · 物理学 2007-05-23 Kerson Huang

A Bose-Einstein condensate in an external potential consisting of a superposition of a harmonic and a random potential is considered theoretically. From a semi-quantitative analysis we find the size, shape and excitation energy as a…

统计力学 · 物理学 2009-11-13 T. Nattermann , V. L. Pokrovsky

The development of patterned multi-quantum well heterostructures in GaAs/AlGaAs waveguides has recently allowed to achieve exciton-polariton condensation in a topologically protected bound state in the continuum (BIC). Remarkably,…

I review the Bose-Einstein condensation phase transition of dilute gases of cold atoms, for particle theorists acquainted with methods of field theory at finite temperature. I then discuss how the dependence of the phase transition…

高能物理 - 唯象学 · 物理学 2017-08-23 Peter Arnold

We present a detailed study of the temperature dependence of the condensate and noncondensate density profiles of a Bose-condensed gas in a parabolic trap. These quantitites are calculated self-consistently using the Hartree-Fock-Bogoliubov…

凝聚态物理 · 物理学 2009-10-28 D. A. W. Hutchinson , E. Zaremba , A. Griffin
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