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We have investigated experimentally the finite-temperature properties of a Bose-Einstein condensed cloud of $^{87}$Rb atoms in a harmonic trap. Focusing primarily on condensed fraction and expansion energy, we measure unambiguous deviations…

Other Condensed Matter · Physics 2007-05-23 Fabrice Gerbier , Joseph H. Thywissen , Simon Richard , Mathilde Hugbart , Philippe Bouyer , Alain Aspect

We study a Bose-condensed gas at finite temperature, in which the particles of the condensate and of the thermal cloud are constrained to move in a plane under radial harmonic confinement and interact via strictly two-dimensional…

Soft Condensed Matter · Physics 2009-11-10 K. K. Rajagopal , P. Vignolo , M. P. Tosi

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…

Quantum Gases · Physics 2015-05-20 Saleem I. Qashou , Mohamed K. Al-Sugheir , Asaad R. Sakhel , Humam B. Ghassib

We study the thermodynamic behaviour of an ideal gas of bosons trapped in a three-dimensional anisotropic harmonic oscillator potential. The condensate fraction as well as the specific heat is calculated using the Euler-Maclaurin…

Condensed Matter · Physics 2009-10-28 T. Haugset , H. Haugerud , J. O. Andersen

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.…

Statistical Mechanics · Physics 2007-05-23 Luca Salasnich

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…

Statistical Mechanics · Physics 2016-08-31 B. Pozzi , L. Salasnich , A. Parola , L. Reatto

We experimentally study the energy-temperature relationship of a harmonically trapped Bose-Einstein condensate by transferring a known quantity of energy to the condensate and measuring the resulting temperature change. We consider two…

Quantum Gases · Physics 2022-02-09 S. K. Ruddell , D. H. White , A. Ullah , D. Baillie , M. D. Hoogerland

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…

Statistical Mechanics · Physics 2009-10-28 Hualin Shi , Wei-Mou Zheng

We solve the problem of a Bose or Fermi gas in $d$-dimensions trapped by $% \delta \leq d$ mutually perpendicular harmonic oscillator potentials. From the grand potential we derive their thermodynamic functions (internal energy, specific…

Statistical Mechanics · Physics 2016-08-16 M. Grether , M. Fortes , M. de Llano , J. L. del Río , F. J. Sevilla , M. A. Solís , Ariel A. Valladares

We investigate the temperature-dependent effective size of a trapped interacting atomic Bose gas within a mean field theory approximation. The sudden shrinking of the average length, as observed in an earlier experiment by Wang {\it et al.}…

Other Condensed Matter · Physics 2009-11-11 Wenxian Zhang , Z. Xu , L. You

We study a dilute and ultracold Bose gas of interacting atoms by using an effective field theory which takes account finite-range effects of the inter-atomic potential. Within the formalism of functional integration from the grand canonical…

Quantum Gases · Physics 2017-04-06 A. Cappellaro , L. Salasnich

The dynamic structure factor of a harmonically trapped Bose gas has been calculated well above the Bose-Einstein condensation temperature by treating the gas cloud as a canonical ensemble of noninteracting classical particles. The static…

Quantum Gases · Physics 2015-05-14 Jai Carol Cruz , C. N. Kumar , K. N. Pathak , J. Bosse

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…

Condensed Matter · Physics 2009-10-28 D. A. W. Hutchinson , E. Zaremba , A. Griffin

We study the condensed fraction of a harmonically-trapped atomic Bose gas at the critical point predicted by mean-field (MF) theory. The non-zero condensed fraction $f_0$ is induced by critical correlations which increase the transition…

In a recent experiment, a Bose-Einstein condensate was trapped in an anharmonic potential which is well approximated by a harmonic and a quartic part. The condensate was set into such a fast rotation that the centrifugal force in the…

Statistical Mechanics · Physics 2009-11-11 Sebastian Kling , Axel Pelster

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…

Quantum Gases · Physics 2021-02-05 M. S. Bulakhov , A. S. Peletminskii , Yu. V. Slyusarenko , A. G. Sotnikov

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

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 suggest a practical way to estimate the condensate fraction of an interacting dilute Bose gas confined by an external harmonic potential as a function of temperature and scattering length. It shows that an increase of the scattering…

Statistical Mechanics · Physics 2011-11-09 Sang-Hoon Kim

The stability of Bose gases near resonance has been a puzzling problem in recent years. In this Letter, we demonstrate that in addition to generating thermal pressure, thermal atoms enhance the repulsiveness of the scale-dependent…

Quantum Gases · Physics 2015-07-16 Shao-Jian Jiang , Fei Zhou