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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 study a system of $N$ Bose atoms trapped by a symmetric harmonic potential, interacting via weak central forces. Considering the ground state of the rotating system as a function of the two conserved quantities, the total angular…

Statistical Mechanics · Physics 2009-11-07 M. S. Hussein , O. K. Vorov

Inspired by investigations of Bose-Einstein condensates (BECs) produced in the Cold Atom Laboratory (CAL) aboard the International Space Station, we present a study of thermodynamic properties of shell-shaped BECs. Within the context of a…

We study the Bose-Einstein condensation (BEC) for a system of $^7Li$ atoms, which have negative scattering length (attractive interaction), confined in a harmonic potential. Within the Bogoliubov and Popov approximations, we numerically…

Condensed Matter · Physics 2007-05-23 B. Pozzi , L. Salasnich , A. Parola , L. Reatto

We present a theoretical and experimental analysis of the transverse monopole mode of a fast rotating Bose-Einstein condensate. The condensate's rotation frequency is similar to the trapping frequency and the effective confinement is only…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Sabine Stock , Vincent Bretin , Frederic Chevy , Jean Dalibard

We study numerically the low temperature behavior of a one-dimensional Bose gas trapped in an optical lattice. For a sufficient number of particles and weak repulsive interactions, we find a clear regime of temperatures where density…

Statistical Mechanics · Physics 2013-05-29 C. Gils , L. Pollet , A. Vernier , F. Hebert , G. G. Batrouni , M. Troyer

The rotational motion of an interacting Bose-Einstein condensate confined by a harmonic trap is investigated by solving the hydrodynamic equations of superfluids, with the irrotationality constraint for the velocity field. We point out the…

Condensed Matter · Physics 2009-10-31 A. Recati , F. Zambelli , S. Stringari

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

We investigate the collective oscillations of a Bose condensate in an anisotropic harmonic trap. We analytically calculate the values of the trap deformation for which the normal modes are in resonance. In presence of low-order resonances,…

Statistical Mechanics · Physics 2009-10-31 Luca Salasnich

We examine the role of thermal fluctuations in uniform two-dimensional binary Bose mixtures of dilute ultracold atomic gases. We use a mean-field Hartree-Fock theory to derive analytical predictions for the miscible-immiscible transition. A…

Quantum Gases · Physics 2021-02-19 Arko Roy , Miki Ota , Alessio Recati , Franco Dalfovo

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

We investigate theoretically Bose-Einstein condensation of an ideal, trapped Bose gas in the presence of Rashba spin-orbit coupling. Analytic results for the critical temperature and condensate fraction are derived, based on a…

Quantum Gases · Physics 2012-01-30 Hui Hu , Xia-Ji Liu

We present an action that can be used to study variationally the collapse of Bose Einstein condensates. This action is real, even though it includes dissipative terms. It adopts long range interactions between the atoms, so that there is…

Quantum Gases · Physics 2020-11-11 Stavros Theodorakis , Stavros Athanasiou

We examine Bose-Einstein condensation (BEC) for particles trapped in a harmonic potential by considering it as a transition in the length of permutation cycles that arise from wave-function symmetry. This ``loop-gas'' approach was…

Statistical Mechanics · Physics 2009-10-31 William J. Mullin

We analyze theoretically the transport properties of a weakly-interacting ultracold Bose gas enclosed in two reservoirs connected by a constriction. We assume that the transport of the superfluid part is hydrodynamic, and we describe the…

Quantum Gases · Physics 2015-06-19 D. J. Papoular , L. P. Pitaevskii , S. Stringari

We investigate the collective excitations of an atomic Bose-Einstein condensate in the self-binding regime produced by electromagnetically induced ``gravity'' (1/r attraction). Analytical expressions for the frequencies of the monopole and…

Condensed Matter · Physics 2009-11-07 S. Giovanazzi , G. Kurizki , I. E. Mazets , S. Stringari

The evolution of an interacting two-component Bose-Einstein condensate from an initial phase state leads to a spin squeezed state that may be used in atomic clocks to increase the signal-to-noise ratio, opening the way to quantum metrology.…

Quantum Physics · Physics 2013-06-11 Alice Sinatra , Yvan Castin , Emilia Witkowska

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…

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

We study the dynamics of condensate formation in an inhomogeneous trapped Bose gas with a positive interatomic scattering length. We take into account both the nonequilibrium kinetics of the thermal cloud and the Hartree-Fock mean-field…

Statistical Mechanics · Physics 2014-10-13 M. J. Bijlsma , E. Zaremba , H. T. C. Stoof
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