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Dilute Bose gases, cooled down to low temperatures below the Bose-Einstein condensation temperature, form coherent ensembles described by the Gross-Pitaevskii equation. Stationary solutions to the latter are topological coherent modes. The…

介观与纳米尺度物理 · 物理学 2009-11-11 V. I. Yukalov , E. P. Yukalova

We review a self-consistent scheme for modelling trapped weakly-interacting quantum gases at temperatures where the condensate coexists with a significant thermal cloud. This method has been applied to atomic gases by Zaremba, Nikuni, and…

量子气体 · 物理学 2017-08-23 A. J. Allen , C. F. Barenghi , N. P. Proukakis , E. Zaremba

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.…

量子气体 · 物理学 2015-12-08 M. J. Edmonds , K. L. Lee , N. P. Proukakis

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…

凝聚态物理 · 物理学 2015-06-25 S. Giorgini , L. P. Pitaevskii , S. Stringari

The system that describes the dynamics of a Bose-Einstein Condensate (BEC) and the thermal cloud at finite temperature consists of a nonlinear Schrodinger (NLS) and a quantum Boltzmann (QB) equations. In such a system of trapped Bose gases…

数学物理 · 物理学 2017-12-12 Avy Soffer , Minh-Binh Tran

These notes present simple theoretical approaches to study Bose-Einstein condensation in trapped atomic gases and their comparison to recent experimental results : - the ideal Bose gas model - Fermi pseudopotential to model the atomic…

凝聚态物理 · 物理学 2022-03-23 Yvan Castin

We review c-field methods for simulating the non-equilibrium dynamics of degenerate Bose gases beyond the mean-field Gross-Pitaevskii approximation. We describe three separate approaches that utilise similar numerical methods, but have…

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…

统计力学 · 物理学 2009-11-07 T. Nikuni

The properties of ultracold quantum gases of bosons with dipole-dipole interaction is investigated at finite temperature in the frame of the representative ensembles theory. Self-consistent coupled equations of motion are derived for the…

量子气体 · 物理学 2016-06-22 Abdelaali Boudjemaa

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 present an ab initio stochastic method for calculating thermal properties of a trapped, 1D Bose-gas covering the whole range from weak to strong interactions. Discretization of the problem results in a Bose-Hubbard-like Hamiltonian,…

统计力学 · 物理学 2009-11-10 B. Schmidt , L. I. Plimak , M. Fleischhauer

The motto of this paper is: Let's face Bose-Einstein condensation through nonlinear dynamics. We do this by choosing variational forms of the condensate wave functions (of given symmetry classes), which convert the Bose-Einstein condensates…

量子物理 · 物理学 2010-01-12 G. Wunner , H. Cartarius , T. Fabčič , P. Köberle , J. Main , T. Schwidder

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…

统计力学 · 物理学 2007-05-23 Xia-Ji Liu , Hui Hu , A. Minguzzi , M. P. Tosi

We utilize a two-gas model to simulate collective oscillations of a Bose-Einstein condensate at finite temperatures. The condensate is described using a generalized Gross-Pitaevskii equation, which is coupled to a thermal cloud modelled by…

统计力学 · 物理学 2009-10-31 B. Jackson , C. S. Adams

The occurrence of a molecular Bose-Einstein condensate is studied for an atomic system near a zero energy resonance of the binary scattering process, with a large and positive scattering length. The interaction potential is modeled by a…

统计力学 · 物理学 2007-05-23 L. Pricoupenko

We analyze the equilibrium properties of a weakly interacting, trapped quasi-one-dimensional Bose gas at finite temperatures and compare different theoretical approaches. We focus in particular on two stochastic theories: a…

量子气体 · 物理学 2015-03-17 S. P. Cockburn , A. Negretti , N. P. Proukakis , C. Henkel

We present a unified kinetic theory that describes the finite-temperature, non-equilibrium dynamics of a Bose-Einstein condensed gas interacting with a thermal cloud. This theory includes binary interactions to second order in the…

统计力学 · 物理学 2007-05-23 J. Wachter , R. Walser , J. Cooper , M. Holland

We review and extend the theory of the dynamics of Bose-Einstein condensation in weakly interacting atomic gases. We present in a unified way both the semiclassical theory as well as the full quantum theory. This is achieved by deriving a…

统计力学 · 物理学 2007-05-23 H. T. C. Stoof

From the microscopic theory, we derive a number conserving quantum kinetic equation, valid for a dilute Bose gas at any temperature, in which the binary collisions between the quasi-particles are mediated by phonon-like excitations (called…

统计力学 · 物理学 2007-05-23 Patrick Navez

We have achieved the first full implementation of the stochastic projected Gross-Pitaevskii equation for a three-dimensional trapped Bose gas at finite temperature. Our work advances previous applications of this theory, which have only…

量子气体 · 物理学 2012-12-04 S. J. Rooney , P. B. Blakie , A. S. Bradley