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相关论文: On a system of equations for the normal fluid-cond…

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The linearization around one of its equilibrium of a system that describes the correlations between the superfluid component and the normal fluid part of a condensed Bose gas in the approximation of very low temperature and small condensate…

偏微分方程分析 · 数学 2021-12-28 Miguel Escobedo

The temporal evolution of a perturbation of the equilibrium distribution of a condensed Bose gas is investigated using the kinetic equation which describes collision between condensate and noncondensate atoms. The dynamics is studied in the…

量子气体 · 物理学 2011-02-01 Miguel Escobedo , Federica Pezzotti , Manuel Valle

The Cauchy problem for the linearization of a system of equations arising in the kinetic theory of a condensed gas of bosons near the critical temperature around one of its equilibria is solved for radially symmetric initial data. It is…

偏微分方程分析 · 数学 2022-01-19 Miguel Escobedo

A Quantum Kinetic Master Equation (QKME) for bosonic atoms is formulated. It is a quantum stochastic equation for the kinetics of a dilute quantum Bose gas, and describes the behavior and formation of Bose condensation. The key assumption…

量子物理 · 物理学 2009-10-30 C. W. Gardiner , P. Zoller

Short time existence of classical solutions is proved for a system of equations that involves a three excitations kinetic operator. The system is related to the description of a gas of bosons below but close to the critical temperature,…

偏微分方程分析 · 数学 2022-11-08 Miguel Escobedo

The process of condensation in the system of scalar Bosons with weak $\lambda \phi^4$ interaction is considered. Boltzmann kinetic equation is solved numerically. Bose condensation proceeds in two stages: At the first stage condensate is…

高能物理 - 唯象学 · 物理学 2009-10-28 D. Semikoz , I. Tkachev

We derive a kinetic theory for a spin-1/2 Bose-condensed gas of two-level atoms at finite temperatures. The condensate dynamics is described by a generalized Gross-Pitaevskii equation for the two-component spinor order parameter, which…

统计力学 · 物理学 2007-05-23 T. Nikuni , J. E. Williams

We investigate the relation between non-local and energetic properties in 2D quantum systems of zero-temperature bosons. By analyzing numerous interaction potentials across densities spanning from perturbative to strongly correlated regime,…

量子气体 · 物理学 2025-08-28 G. E. Astrakharchik , I. L. Kurbakov , N. A. Asriyan , Yu. E. Lozovik

We present a kinetic theory for Bose-Einstein condensation of a weakly interacting atomic gas in a trap. Starting from first principles, we establish a Markovian kinetic description for the evolution towards equilibrium. In particular, we…

统计力学 · 物理学 2009-10-31 R. Walser , J. Williams , J. Cooper , M. Holland

An attempt is made to consider the difference between the proccesses of the Bose-Einstein condensation of particles and quasiparticles. An equation for particle number of the Bose-condensate as a function of the total number of particles in…

统计力学 · 物理学 2009-01-19 A. I. Bugrij , V. M. Loktev

We study the bosonic Boltzmann-Nordheim kinetic equation, which describes the kinetic regime of weakly interacting bosons with s-wave scattering only. We consider a spatially homogeneous fluid with an isotropic momentum distribution. The…

介观与纳米尺度物理 · 物理学 2008-09-29 Herbert Spohn

When the temperature of a trapped Bose gas is below the Bose-Einstein transition temperature and above absolute zero, the gas is composed of two distinct components: the Bose-Einstein condensate and the cloud of thermal excitations. The…

偏微分方程分析 · 数学 2021-07-09 Gheorghe Craciun , Minh-Binh Tran

We study a quantum Boltzmann-Condensation system that describes the evolution of the interaction between a well formed Bose-Einstein condensate and the quasi-particles cloud. The kinetic model is valid for a dilute regime at which the…

偏微分方程分析 · 数学 2018-05-22 Ricardo Alonso , Irene M. Gamba , Minh-Binh Tran

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 derive a stochastic process that describes the kinetics of a one-dimensional Bose gas in a regime where three body collisions are important. In this situation the system becomes non integrable offering the possibility to investigate…

量子气体 · 物理学 2013-05-30 Patrick Navez , Achilleas Lazarides

We construct a many-body Gaussian variational approach for the two-dimensional trapped Bose gas in the condensate phase. Interaction between particles is modelized by a generalized pseudo-potential of zero range that allows recovering…

其他凝聚态物理 · 物理学 2009-11-10 Ludovic Pricoupenko

We study the kinetic regime of the Bose-condensation of scalar particles with weak $\lambda \phi^4$ self-interaction. The Boltzmann equation is solved numerically. We consider two kinetic stages. At the first stage the condensate is still…

高能物理 - 唯象学 · 物理学 2009-10-28 D. V. Semikoz , I. I. Tkachev

It is demonstrated how a many-body system far from thermal equilibrium can exhibit universal dynamics in passing a non-thermal fixed point. As an example, the process of Bose-Einstein (BE) condensation of a dilute cold gas is considered. If…

量子气体 · 物理学 2015-06-05 Boris Nowak , Jan Schole , Thomas Gasenzer

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 derive quantum evolution equations for the dynamics of dilute condensed Bose gases. The approach contains, at different orders of approximation, for cases close to equilibrium, the Gross Pitaevskii equation and the first order Hartree…

凝聚态物理 · 物理学 2007-05-23 Thorsten Koehler , Keith Burnett
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