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The Bose gas in an external potential is studied by means of the local density approximation. An analytical result is derived for the dependence of the critical temperature of Bose-Einstein condensation on the mutual interaction in a…

凝聚态物理 · 物理学 2009-10-28 Hualin Shi , Wei-Mou Zheng

The paper is a continuation of our previous work on the strong convergence to equilibrium for the spatially homogeneous Boltzmann equation for Bose-Einstein particles for isotropic solutions at low temperature. Here we study the influence…

偏微分方程分析 · 数学 2025-01-27 Shuzhe Cai , Xuguang Lu

The study of the non-equilibrium dynamics in Bose-Einstein condensed gases has been dominated by the zero-temperature, mean field Gross-Pitaevskii formalism. Motivated by recent experiments on the reflection of condensates from silicon…

统计力学 · 物理学 2009-11-11 R. G. Scott , C. W. Gardiner , D. A. W. Hutchinson

We extend the Projected Gross Pitaevskii equation formalism of Davis et al. [Phys. Rev. Lett. \bf{87}, 160402 (2001)] to the experimentally relevant case of harmonic potentials. We outline a robust and accurate numerical scheme that can…

其他凝聚态物理 · 物理学 2015-06-24 P. Blair Blakie , Matthew J. Davis

We perform numerical simulations of vortex motion in a trapped Bose-Einstein condensate by solving the two-dimensional Gross-Pitaevskii Equation in the presence of a simple phenomenological model of interaction between the condensate and…

统计力学 · 物理学 2009-11-13 E. J. M. Madarassy , C. F. Barenghi

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…

凝聚态物理 · 物理学 2009-10-31 S. Giorgini

We present a study of the effects of temperature upon the excitation frequencies of a Bose-Einstein condensate formed within a dilute gas with a weak attractive effective interaction between the atoms. We use the self-consistent…

凝聚态物理 · 物理学 2009-10-31 M. J. Davis , D. A. W. Hutchinson , E. Zaremba

We estimate the amount of temperature-dependent squeezing and entanglement in the collective excitations of trapped Bose-Einstein condensates. We also demonstrate an alternative method of temperature measurement for temperatures much less…

凝聚态物理 · 物理学 2009-11-07 J. Rogel-Salazar , S. Choi , G. H. C. New , K. Burnett

We present a theoretical study of condensation of bosons in tight binding bands corresponding to simple cubic, body centered cubic, and face centered cubic lattices. We have analyzed non-interacting bosons, weakly interacting bosons using…

其他凝聚态物理 · 物理学 2009-11-11 R. Ramakumar , A. N. Das

We use the Gross-Pitaevskii equation to determine the spatial structure of the condensate density of interacting bosons whose energy dispersion epsilon_k has two degenerate minima at finite wave-vectors q. We show that in general the…

量子气体 · 物理学 2011-01-14 Johannes Hick , Francesca Sauli , Andreas Kreisel , Peter Kopietz

Vortex nucleation in a Bose-Einstein condensate subject to a stirring potential is studied numerically using the zero-temperature, two-dimensional Gross-Pitaevskii equation. It is found that this theory is able to describe the creation of…

凝聚态物理 · 物理学 2009-11-07 Emil Lundh , J. -P. Martikainen , Kalle-Antti Suominen

The theoretical description of trapped weakly-interacting Bose-Einstein condensates is characterized by a large number of seemingly very different approaches which have been developed over the course of time by researchers with very…

其他凝聚态物理 · 物理学 2009-11-13 Nick P. Proukakis , Brian Jackson

The dynamics of a trapped Bose-condensed gas at finite temperatures is described by a generalized Gross-Pitaevskii equation for the condensate order parameter and a semi-classical kinetic equation for the thermal cloud, solved using…

统计力学 · 物理学 2009-11-07 B. Jackson , E. Zaremba

We develop a stochastic Gross-Pitaveskii theory suitable for the study of Bose-Einstein condensation in a {\em rotating} dilute Bose gas. The theory is used to model the dynamical and equilibrium properties of a rapidly rotating Bose gas…

量子物理 · 物理学 2008-09-13 A. S. Bradley , C. W. Gardiner , M. J. Davis

Using a specially tuned mean-field Bose gas as a reference system, we establish a positive lower bound on the condensate density for continuous Bose systems with superstable two-body interactions and a finite gap in the one-particle…

数学物理 · 物理学 2009-11-07 J. Lauwers , A. Verbeure , V. A. Zagrebnov

We develop a finite temperature perturbation theory (beyond the mean field) for a Bose-condensed gas and calculate temperature-dependent damping rates and energy shifts for Bogolyubov excitations of any energy. The theory is generalized for…

凝聚态物理 · 物理学 2009-10-31 P. O. Fedichev , G. V. Shlyapnikov

This set of four lectures reviews various aspects of the theory of a dilute low-temperature trapped Bose gas, starting with (I) a review of the Bogoliubov description of the elementary excitations in a uniform system. The treatment is then…

统计力学 · 物理学 2007-05-23 Alexander L. Fetter

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…

凝聚态物理 · 物理学 2009-09-25 Allan Griffin

We study a Bose-Einstein condensate (BEC) of a dilute gas with dipolar interactions, at finite temperature, using the Hartree-Fock-Bogoliubov (HFB) theory within the Popov approximation. An additional approximation involving the dipolar…

统计力学 · 物理学 2009-11-13 Shai Ronen , John Bohn

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…

软凝聚态物质 · 物理学 2009-11-10 K. K. Rajagopal , P. Vignolo , M. P. Tosi