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We present a theory of the linear response of a Bose-condensed gas to external perturbations at finite temperature. The theory developed here is the basis of a recent quantitative explanation of the measurements of condensate excitations…

Condensed Matter · Physics 2009-11-10 S. A. Morgan

We present numerical results from a full second order quantum field theory of Bose-Einstein condensates applied to the 1997 JILA experiment [D. S. Jin et al., Phys. Rev. Lett. Vol. 78, 764 (1997)]. Good agreement is found for the energies…

Condensed Matter · Physics 2009-11-10 S. A. Morgan , M. Rusch , D. A. W. Hutchinson , K. Burnett

We present a theory for the linear dynamics of a weakly interacting Bose gas confined inside a harmonic trap at finite temperature. The theory treats the motions of the condensate and of the non-condensate on an equal footing within a…

Statistical Mechanics · Physics 2007-05-23 Xia-Ji Liu , Hui Hu , A. Minguzzi , M. P. Tosi

We derive a simple formula for the finite-temperature shifts of the collective excitations of a Bose-Einstein condensate. To test the validity of our treatment we apply it to explain the anomalous behavior of the ``m=2'' excitation…

Condensed Matter · Physics 2007-05-23 Maxim Olshanii

In this paper we develop a gapless theory of BEC which can be applied to both trapped and homogeneous gases at zero and finite temperature. The many-body Hamiltonian for the system is written in a form which is approximately quadratic with…

Statistical Mechanics · Physics 2009-10-31 S. A. Morgan

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

We demonstrate that the time-dependent projected Gross-Pitaevskii equation derived earlier [Davis, et al., J. Phys. B 34, 4487 (2001)] can represent the highly occupied modes of a homogeneous, partially-condensed Bose gas. We find that this…

Condensed Matter · Physics 2009-11-07 M. J. Davis , S. A. Morgan , K. Burnett

We give an overview of the current theory of collective modes in trapped atomic gases at finite temperatures, when the dynamics of the condensate and non-condensate must both be considered. A simple introduction is given to the quantum…

Condensed Matter · Physics 2009-09-25 Allan Griffin

We solve the Gross-Pitaevskii equation numerically for the collapse induced by a switch from positive to negative scattering lengths. We compare our results with experiments performed at JILA with Bose-Einstein condensates of Rb-85, in…

Condensed Matter · Physics 2007-05-23 C. M. Savage , N. P. Robins , J. J. Hope

We present a systematic study of dilute three-dimensional dipolar Bose gas employing a finite temperature perturbation theory (beyond the mean field). We analyze in particular the behavior of the anomalous density, we find that this…

Quantum Gases · Physics 2015-01-15 Abdelaali Boudjemaa

We describe a variety of intriguing mode-coupling effects which can occur in a confined Bose-Einstein condensed system at finite temperature. These arise from strong interactions between a condensate fluctuation and resonances of the…

Statistical Mechanics · Physics 2009-11-11 A. J. Geddes , S. A. Morgan , D. A. W. Hutchinson

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 introduce a time-dependent projected Gross-Pitaevskii equation to describe a partially condensed homogeneous Bose gas, and find that this equation will evolve randomised initial wave functions to equilibrium. We compare our numerical…

Condensed Matter · Physics 2009-10-31 M. J. Davis , S. A. Morgan , K. Burnett

We derive a non-equilibrium finite-temperature kinetic theory for a binary mixture of two interacting atomic Bose-Einstein condensates and use it to explore the degree of hydrodynamicity attainable in realistic experimental geometries.…

Quantum Gases · Physics 2015-12-08 M. J. Edmonds , K. L. Lee , N. P. Proukakis

We optimize the classical field approximation of the version described in J. Phys. B 40, R1 (2007) for the oscillations of a Bose gas trapped in a harmonic potential at nonzero temperatures, as experimentally investigated by Jin et al.…

Quantum Gases · Physics 2010-03-31 Tomasz Karpiuk , Miroslaw Brewczyk , Mariusz Gajda , Kazimierz Rzazewski

A trajectory approach is taken to the hydrodynamical treatment of collective excitations of a Bose-Einstein condensate in a harmonic trap. The excitations induced by linear deformations of the trap are shown to constitute a broad class of…

Condensed Matter · Physics 2009-10-31 Pippa Storey , Maxim Olshanii

We formulate a conserving gapless mean-field theory for Bose-Einstein condensates on the basis of a Luttinger-Ward thermodynamic functional. It is applied to a weakly interacting uniform gas with density $n$ and s-wave scattering length $a$…

Superconductivity · Physics 2009-11-10 Takafumi Kita

We study the energies and decay of elementary excitations in weakly interacting Bose-Einstein condensates within a finite-temperature gapless second-order theory. The energy shifts for the high-lying collective modes turn out to be…

Statistical Mechanics · Physics 2009-11-11 M. Mottonen , S. M. M. Virtanen , M. M. Salomaa

We present the general dielectric formalism for Bose-Einstein condensed systems in external potential at finite temperatures. On the basis of a model arising within this framework as a first approximation in an intermediate temperature…

Statistical Mechanics · Physics 2009-10-31 Gy. Bene , P. Szepfalusy

We study the low-energy collective oscillations of a dilute Bose gas at finite temperature in the collisionless regime. By using a time-dependent mean-field scheme we derive for the dynamics of the condensate and noncondensate components a…

Condensed Matter · Physics 2009-10-31 S. Giorgini
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