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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 have measured the effect of dipole-dipole interactions on the frequency of a collective mode of a Bose-Einstein condensate. At relatively large numbers of atoms, the experimental measurements are in good agreement with zero temperature…

Quantum Gases · Physics 2015-05-19 G. Bismut , B. Pasquiou , E. Maréchal , P. Pedri , L. Vernac , O. Gorceix , B. Laburthe-Tolra

Taking advantage of the known exact mapping of the one-dimensional Hard Core Bose (HCB) fluid onto a non-interacting spinless fermion gas, we examine in full detail a thought experiment on cold atoms confined in a quasi-one-dimensional…

Quantum Gases · Physics 2020-10-08 Manuele Tettamanti , Sergio L. Cacciatori , Alberto Parola

We investigate the behavior of a weakly interacting nearly one-dimensional (1D) trapped Bose gas at finite temperature. We perform in situ measurements of spatial density profiles and show that they are very well described by a model based…

Other Condensed Matter · Physics 2010-10-21 A. H. van Amerongen , J. J. P. van Es , P. Wicke , K. V. Kheruntsyan , N. J. van Druten

We develop a theory to describe the damping of elementary excitations of a Bose-condensed gas in the hydrodynamic regime for the thermal cloud. We discuss second sound in a spatially homogeneous gas and the lowest excitations of a trapped…

Soft Condensed Matter · Physics 2007-05-23 P. O. Fedichev , A. E. Muryshev , G. V. Shlyapnikov

By using the Hartree-Fock-Bogoliubov equations within the Popov approximation, we investigate the thermodynamic properties of a dilute binary Bose-Fermi mixture confined in an isotropic harmonic trap. For mixtures with an attractive…

Statistical Mechanics · Physics 2009-11-10 Hui Hu , Xia-Ji Liu

We study the non-equilibrium dynamics of a coherently split one-dimensional (1d) Bose gas by measuring the full probability distribution functions of matter-wave interference. Observing the system on different length scales allows us to…

We perform a systematic study of the thermodynamics of quantum gases in the unitarity limit. Our study makes use of a "Universality Hypothesis" for the relevant energy scales of a many-body system at unitarity. This Hypothesis is supported…

Condensed Matter · Physics 2011-07-19 Tin-Lun Ho

While the zero-temperature properties of harmonically trapped cold few-atom systems have been discussed fairly extensively over the past decade, much less is known about the finite-temperature properties. Working in the canonical ensemble,…

Quantum Gases · Physics 2015-06-22 Yangqian Yan , D. Blume

The wave equation of low-frequency density waves in Bose-Einstein condensates at vanishing temperature in arbitrarily anisotropic harmonic traps is separable in elliptic coordinates, provided the condensate can be treated in the…

Condensed Matter · Physics 2009-10-31 András Csordás , Robert Graham

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 calculate the quantum corrections of the thermodynamic quantities of a system of confined Bosons at finite temperature. Systematically quantum corrections are written in a series of $\hbar$, which is convergent when $kT$ is much larger…

Statistical Mechanics · Physics 2009-10-31 Subhasis Sinha

In this paper, we develop a numerical procedure for investigating the dynamics of trapped Bose gases based on the ZGN theory. The dynamical equations used consist of a generalized Gross-Pitaevskii equation for the condensate order parameter…

Statistical Mechanics · Physics 2007-05-23 B. Jackson , E. Zaremba

Generalized Hydrodynamics (GHD) has recently been devised as a method to solve the dynamics of integrable quantum many-body systems beyond the mean-field approximation. In its original form, a major limitation is the inability to predict…

At finite temperature, the hydrodynamic collective modes of superfluid trapped Fermi gases are coupled to the motion of the normal component, which in the BCS limit behaves like a collisionless normal Fermi gas. The coupling between the…

Other Condensed Matter · Physics 2008-11-26 M. Urban

Bosonic Josephson junctions can be realized by confining ultracold gases of bosons in multi-well traps, and studied theoretically with the $M$-site Bose-Hubbard model. We show that canonical equilibrium states of the $M$-site Bose-Hubbard…

Atomic Physics · Physics 2009-06-02 Alex D. Gottlieb , Thorsten Schumm

We present predictions for the temperature dependent shifts and damping rates. They are obtained by applying the dielectric formalism to a simple model of a trapped Bose gas. Within the framework of the model we use lowest order…

Condensed Matter · Physics 2009-10-31 J. Reidl , A. Csordás , R. Graham , P. Szépfalusy

Explicit expressions for all the transport coefficients have recently been found for a trapped Bose condensed gas at finite temperatures. These transport coefficients are used to define the characteristic relaxation times, which determine…

Statistical Mechanics · Physics 2009-11-07 T. Nikuni , A. Griffin

We have observed Bose-Einstein condensation of an atomic gas in the (quasi-)uniform three-dimensional potential of an optical box trap. Condensation is seen in the bimodal momentum distribution and the anisotropic time-of-flight expansion…

A quantum-field approach to studying the Bose systems at finite temperatures and in states with spontaneously broken symmetry, in particular in a superfluid state, is proposed. A generalized model of a self-consistent field (SCF) for…

Statistical Mechanics · Physics 2013-06-11 Yu. M. Poluektov