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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

We rely on a variational approach to derive a set of equations governing a trapped self-interacting Bose gas at finite temperature. In this work, we analyze the static situation both at zero and finite temperature in the Thomas-Fermi limit.…

Statistical Mechanics · Physics 2008-01-21 M. Benarous , H. Chachou Samet

A detailed calculation of the real part of the finite temperature dynamic susceptibility of the free Bose gas is presented. After a short discussion on the different ways in which it can be calculated for temperatures above and below the…

Statistical Mechanics · Physics 2009-11-07 F. Mazzanti , A. Polls

We perform high-precision measurements of the condensation temperature of a harmonically-trapped atomic Bose gas with widely-tuneable interactions. For weak interactions we observe a negative shift of the critical temperature in excellent…

Quantum Gases · Physics 2011-06-29 Robert P. Smith , Robert L. D. Campbell , Naaman Tammuz , Zoran Hadzibabic

By using a mean field approach, based on the Popov approximation, we calculate the temperature dependence of the condensate fraction of an interacting Bose gas confined in an anisotropic harmonic trap. For systems interacting with repulsive…

Condensed Matter · Physics 2009-10-28 S. Giorgini , L. Pitaevskii , S. Stringari

We develop a practical Hartree-Fock theory for trapped Bose and Fermi gases that interact with dipole-dipole interactions. This theory is applicable at zero and finite temperature. Our approach is based on the introduction of local momentum…

Quantum Gases · Physics 2012-10-16 D. Baillie , P. B. Blakie

We calculate the dynamic single-particle and many-particle correlation functions at non-zero temperature in one-dimensional trapped repulsive Bose gases. The decay for increasing distance between the points of these correlation functions is…

Statistical Mechanics · Physics 2009-11-10 N. M. Bogoliubov , R. K. Bullough , C. Malyshev , J. Timonen

We consider the effects of temperature upon the superfluid phase of ultracold, weakly interacting bosons in a one dimensional optical lattice. We use a finite temperature treatment of the Bose-Hubbard model based upon the…

Statistical Mechanics · Physics 2009-11-11 B. G. Wild , P. B. Blakie , D. A. W. Hutchinson

The critical temperature and condensate fraction of a trapped interacting Bose gas are investigated when both atom-atom interaction and finite-size effects are taken into account. Canonical ensemble is used to obtain the equations on the…

Soft Condensed Matter · Physics 2009-11-07 Hongwei Xiong , Shujuan Liu , Guoxiang Huang , Zhijun Xun , Cunyuan Zhang

We develop a computationally tractable method for calculating correlation functions of the finite temperature trapped Bose gas that includes the effects of s-wave interactions. Our approach uses a classical field method to model the low…

Other Condensed Matter · Physics 2008-09-11 A. Bezett , E. Toth , P. B. Blakie

We address the problem of calculating finite-temperature response functions of an experimentally relevant low-dimensional strongly-correlated system: the integrable 1D Bose gas with repulsive \delta-function interaction (Lieb-Liniger…

Quantum Gases · Physics 2014-03-10 Miłosz Panfil , Jean-Sébastien Caux

We investigate the behavior of a dilute quasi two-dimensional, harmonically confined, weakly interacting Bose gas within the finite-temperature Thomas-Fermi approximation. We find that the thermodynamic properties of the system are markedly…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Brandon P. van Zyl , R. K. Bhaduri , Justin Sigetich

We report the first measurements of the BEC critical temperature shift due to dipolar interactions, employing samples of ultracold erbium atoms which feature significant (magnetic) dipole-dipole interactions in addition to tuneable contact…

We use a generalized Gross-Pitaevskii equation for the condensate and a semi-classical kinetic equation for the noncondensate atoms to discuss the scissors mode in a trapped Bose-condensed gas at finite temperatures. Both equations include…

Statistical Mechanics · Physics 2009-11-07 T. Nikuni

We systematically study the properties of a charged Coulomb Bose gas with dipole-dipole interactions in the weak coupling limit at both zero and finite temperatures using the Hartree-Fock-Bogoliubov approach. We numerically analyze the…

Quantum Gases · Physics 2023-02-28 Abdelaali Boudjemaa

We study the Drude weight $D(T)$ at finite temperatures $T$ of an integrable bosonic model where the particles interact via nearest-neighbour coupling on a chain. At low temperatures, $D(T)$ is shown to be universal in the sense that this…

Statistical Mechanics · Physics 2009-11-11 Michael Bortz

We investigate the dynamical properties of a trapped finite-temperature normal Fermi gas with dipole-dipole interaction. For the free expansion dynamics, we show that the expanded gas always becomes stretched along the direction of the…

Quantum Gases · Physics 2015-05-27 J. -N. Zhang , R. -Z. Qiu , L. He , S. Yi

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…

Statistical Mechanics · Physics 2009-09-28 Ahmed S. Hassan , Shemi S. M. Soliman , Emad H. Soliman

We use a semiclassical two-fluid model to study the momentum distribution of a Bose-condensed gas with repulsive interactions inside a harmonic trap at finite temperature, with specific focus on atomic hydrogen. We give particular attention…

Statistical Mechanics · Physics 2009-10-31 Anna Minguzzi , Patrizia Vignolo , Mario P. Tosi

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…

Condensed Matter · Physics 2015-06-25 S. Giorgini , L. P. Pitaevskii , S. Stringari