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We report the measurement of the global thermal expansion coefficient of a confined Bose gas of $^{87}\rm Rb$ in a harmonic potential around the Bose-Einstein condensation transition temperature. We use the concept of global thermodynamic…

量子气体 · 物理学 2020-06-25 E. D. Mercado-Gutierrez , F. J. Poveda-Cuevas , Vanderlei S. Bagnato

Phase transitions are well understood and generally followed by the behavior of the associated thermodynamic quantities, such as in the case of the $\lambda$ point superfluid transition of liquid helium, which is observed in its heat…

The critical temperature of Bose-Einstein condensation essentially depends on internal properties of the system as well as on the geometry of a trapping potential. The peculiarities of defining the phase transition temperature of…

量子气体 · 物理学 2017-05-31 V. I. Yukalov , E. P. Yukalova

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

We present precise path-integral Monte-Carlo results for the thermodynamics of a homogeneous dilute Bose gas. Pressure and energy are calculated as a function of temperature both below and above the Bose-Einstein transition. Specifically,…

量子气体 · 物理学 2023-10-23 Gabriele Spada , Sebastiano Pilati , Stefano Giorgini

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

In the weakly non-ideal gas model [1], the Bose-Einstein condensation at constant pressure is considered. The temperature of transition to the state with condensate is found. Temperature dependences of the total density and condensate…

量子气体 · 物理学 2024-11-26 Yu. M. Poluektov

We derive the scaling structure of the Kosterlitz-Thouless-Berezinskii (KTB) transition temperature of a homogeneous Bose gas in two dimensions within diagrammatic perturbation theory. Approaching the system from above the transition, we…

其他凝聚态物理 · 物理学 2016-08-16 Markus Holzmann , Gordon Baym , Jean-Paul Blaizot , Franck Laloë

We briefly review the theory of Bose-Einstein condensation in the two-dimensional trapped Bose gas and, in particular the relationship to the theory of the homogeneous two-dimensional gas and the Berezinskii-Kosterlitz-Thouless phase. We…

统计力学 · 物理学 2009-11-11 D. A. W. Hutchinson , P. B. Blakie

We present an alternative method for determining the sound velocity in atomic Bose-Einstein condensates, based on thermodynamic global variables. The total number of trapped atoms was as a function of temperature carefully studied across…

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

We investigate the thermodynamics of a Bose gas interacting with repulsive forces and confined in a harmonic trap. We show that the relevant parameters of the system (temperature, number N of atoms, harmonic oscillator length, deformation…

凝聚态物理 · 物理学 2009-10-28 S. Giorgini , L. Pitaevskii , S. Stringari

Evading the Mermin-Wagner-Hohenberg no-go theorem and revisiting with rigor the ideal Bose gas confined in a square box, we explore a discrete phase transition in two spatial dimensions. Through both analytic and numerical methods we verify…

量子气体 · 物理学 2015-01-27 Wonyoung Cho , Sang-Woo Kim , Jeong-Hyuck Park

We discuss the phenomenon of Bose-Einstein condensation under general external conditions using connections between partition sums and the heat-equation. Thermodynamical quantities like the critical temperature are given in terms of the…

统计力学 · 物理学 2009-10-31 Klaus Kirsten , David J. Toms

We measure the phase diagram of a $^{87}$Rb Bose gas in a harmonic trap in terms of macroscopic parameters obtained from the spatial distribution of atoms. Considering the relevant variables as size of the cloud ${\cal V}$, number of atoms…

量子气体 · 物理学 2011-02-24 V Romero-Rochin , R F Shiozaki , M Caracanhas , E A L Henn , K M F Magalhaes , G Roati , V S Bagnato

In the present work we study the main physical properties of a gas of $\kappa$-deformed bosons described through the statistical distribution function $f_\kappa=Z^{-1}[\exp_\kappa (\beta({1/2}m v^2-\mu))-1]^{-1}$. The deformed…

统计力学 · 物理学 2009-11-07 A. Aliano , G. Kaniadakis , E. Miraldi

We consider two characteristic temperatures for a Bose-Einstein condensate, that are related to certain properties of the condensate statistics. We calculate them for an ideal gas confined in power-law traps and show that they approach the…

统计力学 · 物理学 2009-11-10 Z. Idziaszek , K. Rzazewski

The dynamics of a trapped Bose-condensed gas at finite temperatures is described by a generalized Gross-Pitaevskii equation for the condensate order parameter and a semi-classical kinetic equation for the thermal cloud, solved using…

统计力学 · 物理学 2009-11-07 B. Jackson , E. Zaremba

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…

统计力学 · 物理学 2010-03-11 M. Männel , K. Morawetz , P. Lipavský

We discuss the phenomenon of Bose-Einstein condensation of an ideal non-relativistic Bose gas in an arbitrarily shaped cavity. The influence of the finite extension of the cavity on all thermodynamical quantities, especially on the critical…

统计力学 · 物理学 2009-10-31 Klaus Kirsten , David J. Toms
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